---
_id: '7477'
abstract:
- lang: eng
text: We present conductance-matrix measurements of a three-terminal superconductor-semiconductor
hybrid device consisting of two normal leads and one superconducting lead. Using
a symmetry decomposition of the conductance, we find that antisymmetric components
of pairs of local and nonlocal conductances qualitatively match at energies below
the superconducting gap, and we compare this finding with symmetry relations based
on a noninteracting scattering matrix approach. Further, the local charge character
of Andreev bound states is extracted from the symmetry-decomposed conductance
data and is found to be similar at both ends of the device and tunable with gate
voltage. Finally, we measure the conductance matrix as a function of magnetic
field and identify correlated splittings in low-energy features, demonstrating
how conductance-matrix measurements can complement traditional single-probe measurements
in the search for Majorana zero modes.
article_number: '036802'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: G. C.
full_name: Ménard, G. C.
last_name: Ménard
- first_name: G. L. R.
full_name: Anselmetti, G. L. R.
last_name: Anselmetti
- first_name: E. A.
full_name: Martinez, E. A.
last_name: Martinez
- first_name: D.
full_name: Puglia, D.
last_name: Puglia
- first_name: F. K.
full_name: Malinowski, F. K.
last_name: Malinowski
- first_name: J. S.
full_name: Lee, J. S.
last_name: Lee
- first_name: S.
full_name: Choi, S.
last_name: Choi
- first_name: M.
full_name: Pendharkar, M.
last_name: Pendharkar
- first_name: C. J.
full_name: Palmstrøm, C. J.
last_name: Palmstrøm
- first_name: K.
full_name: Flensberg, K.
last_name: Flensberg
- first_name: C. M.
full_name: Marcus, C. M.
last_name: Marcus
- first_name: L.
full_name: Casparis, L.
last_name: Casparis
- first_name: Andrew P
full_name: Higginbotham, Andrew P
id: 4AD6785A-F248-11E8-B48F-1D18A9856A87
last_name: Higginbotham
orcid: 0000-0003-2607-2363
citation:
ama: Ménard GC, Anselmetti GLR, Martinez EA, et al. Conductance-matrix symmetries
of a three-terminal hybrid device. Physical Review Letters. 2020;124(3).
doi:10.1103/physrevlett.124.036802
apa: Ménard, G. C., Anselmetti, G. L. R., Martinez, E. A., Puglia, D., Malinowski,
F. K., Lee, J. S., … Higginbotham, A. P. (2020). Conductance-matrix symmetries
of a three-terminal hybrid device. Physical Review Letters. APS. https://doi.org/10.1103/physrevlett.124.036802
chicago: Ménard, G. C., G. L. R. Anselmetti, E. A. Martinez, D. Puglia, F. K. Malinowski,
J. S. Lee, S. Choi, et al. “Conductance-Matrix Symmetries of a Three-Terminal
Hybrid Device.” Physical Review Letters. APS, 2020. https://doi.org/10.1103/physrevlett.124.036802.
ieee: G. C. Ménard et al., “Conductance-matrix symmetries of a three-terminal
hybrid device,” Physical Review Letters, vol. 124, no. 3. APS, 2020.
ista: Ménard GC, Anselmetti GLR, Martinez EA, Puglia D, Malinowski FK, Lee JS, Choi
S, Pendharkar M, Palmstrøm CJ, Flensberg K, Marcus CM, Casparis L, Higginbotham
AP. 2020. Conductance-matrix symmetries of a three-terminal hybrid device. Physical
Review Letters. 124(3), 036802.
mla: Ménard, G. C., et al. “Conductance-Matrix Symmetries of a Three-Terminal Hybrid
Device.” Physical Review Letters, vol. 124, no. 3, 036802, APS, 2020, doi:10.1103/physrevlett.124.036802.
short: G.C. Ménard, G.L.R. Anselmetti, E.A. Martinez, D. Puglia, F.K. Malinowski,
J.S. Lee, S. Choi, M. Pendharkar, C.J. Palmstrøm, K. Flensberg, C.M. Marcus, L.
Casparis, A.P. Higginbotham, Physical Review Letters 124 (2020).
date_created: 2020-02-11T08:50:02Z
date_published: 2020-01-24T00:00:00Z
date_updated: 2021-01-12T08:13:48Z
day: '24'
doi: 10.1103/physrevlett.124.036802
extern: '1'
external_id:
arxiv:
- '1905.05505'
intvolume: ' 124'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1905.05505
month: '01'
oa: 1
oa_version: Preprint
publication: Physical Review Letters
publication_identifier:
issn:
- 0031-9007
- 1079-7114
publication_status: published
publisher: APS
quality_controlled: '1'
status: public
title: Conductance-matrix symmetries of a three-terminal hybrid device
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 124
year: '2020'
...
---
_id: '7478'
abstract:
- lang: eng
text: Two-terminal conductance spectroscopy of superconducting devices is a common
tool for probing Andreev and Majorana bound states. Here, we study theoretically
a three-terminal setup, with two normal leads coupled to a grounded superconducting
terminal. Using a single-electron scattering matrix, we derive the subgap conductance
matrix for the normal leads and discuss its symmetries. In particular, we show
that the local and the nonlocal elements of the conductance matrix have pairwise
identical antisymmetric components. Moreover, we find that the nonlocal elements
are directly related to the local BCS charges of the bound states close to the
normal probes and we show how the BCS charge of overlapping Majorana bound states
can be extracted from experiments.
article_number: '036801'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Jeroen
full_name: Danon, Jeroen
last_name: Danon
- first_name: Anna Birk
full_name: Hellenes, Anna Birk
last_name: Hellenes
- first_name: Esben Bork
full_name: Hansen, Esben Bork
last_name: Hansen
- first_name: Lucas
full_name: Casparis, Lucas
last_name: Casparis
- first_name: Andrew P
full_name: Higginbotham, Andrew P
id: 4AD6785A-F248-11E8-B48F-1D18A9856A87
last_name: Higginbotham
orcid: 0000-0003-2607-2363
- first_name: Karsten
full_name: Flensberg, Karsten
last_name: Flensberg
citation:
ama: 'Danon J, Hellenes AB, Hansen EB, Casparis L, Higginbotham AP, Flensberg K.
Nonlocal conductance spectroscopy of Andreev bound states: Symmetry relations
and BCS charges. Physical Review Letters. 2020;124(3). doi:10.1103/physrevlett.124.036801'
apa: 'Danon, J., Hellenes, A. B., Hansen, E. B., Casparis, L., Higginbotham, A.
P., & Flensberg, K. (2020). Nonlocal conductance spectroscopy of Andreev bound
states: Symmetry relations and BCS charges. Physical Review Letters. APS.
https://doi.org/10.1103/physrevlett.124.036801'
chicago: 'Danon, Jeroen, Anna Birk Hellenes, Esben Bork Hansen, Lucas Casparis,
Andrew P Higginbotham, and Karsten Flensberg. “Nonlocal Conductance Spectroscopy
of Andreev Bound States: Symmetry Relations and BCS Charges.” Physical Review
Letters. APS, 2020. https://doi.org/10.1103/physrevlett.124.036801.'
ieee: 'J. Danon, A. B. Hellenes, E. B. Hansen, L. Casparis, A. P. Higginbotham,
and K. Flensberg, “Nonlocal conductance spectroscopy of Andreev bound states:
Symmetry relations and BCS charges,” Physical Review Letters, vol. 124,
no. 3. APS, 2020.'
ista: 'Danon J, Hellenes AB, Hansen EB, Casparis L, Higginbotham AP, Flensberg K.
2020. Nonlocal conductance spectroscopy of Andreev bound states: Symmetry relations
and BCS charges. Physical Review Letters. 124(3), 036801.'
mla: 'Danon, Jeroen, et al. “Nonlocal Conductance Spectroscopy of Andreev Bound
States: Symmetry Relations and BCS Charges.” Physical Review Letters, vol.
124, no. 3, 036801, APS, 2020, doi:10.1103/physrevlett.124.036801.'
short: J. Danon, A.B. Hellenes, E.B. Hansen, L. Casparis, A.P. Higginbotham, K.
Flensberg, Physical Review Letters 124 (2020).
date_created: 2020-02-11T08:55:40Z
date_published: 2020-01-24T00:00:00Z
date_updated: 2021-01-12T08:13:48Z
day: '24'
doi: 10.1103/physrevlett.124.036801
extern: '1'
external_id:
arxiv:
- '1905.05438'
intvolume: ' 124'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1905.05438
month: '01'
oa: 1
oa_version: Preprint
publication: Physical Review Letters
publication_identifier:
issn:
- 0031-9007
- 1079-7114
publication_status: published
publisher: APS
quality_controlled: '1'
status: public
title: 'Nonlocal conductance spectroscopy of Andreev bound states: Symmetry relations
and BCS charges'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 124
year: '2020'
...
---
_id: '7761'
abstract:
- lang: eng
text: We study the effect of dilute pinning on the jamming transition. Pinning reduces
the average contact number needed to jam unpinned particles and shifts the jamming
threshold to lower densities, leading to a pinning susceptibility, χp. Our main
results are that this susceptibility obeys scaling form and diverges in the thermodynamic
limit as χp∝|ϕ−ϕ∞c|−γp where ϕ∞c is the jamming threshold in the absence of pins.
Finite-size scaling arguments yield these values with associated statistical (systematic)
errors γp=1.018±0.026(0.291) in d=2 and γp=1.534±0.120(0.822) in d=3. Logarithmic
corrections raise the exponent in d=2 to close to the d=3 value, although the
systematic errors are very large.
article_number: '235501'
article_processing_charge: No
article_type: original
author:
- first_name: Amy L.
full_name: Graves, Amy L.
last_name: Graves
- first_name: Samer
full_name: Nashed, Samer
last_name: Nashed
- first_name: Elliot
full_name: Padgett, Elliot
last_name: Padgett
- first_name: Carl Peter
full_name: Goodrich, Carl Peter
id: EB352CD2-F68A-11E9-89C5-A432E6697425
last_name: Goodrich
orcid: 0000-0002-1307-5074
- first_name: Andrea J.
full_name: Liu, Andrea J.
last_name: Liu
- first_name: James P.
full_name: Sethna, James P.
last_name: Sethna
citation:
ama: 'Graves AL, Nashed S, Padgett E, Goodrich CP, Liu AJ, Sethna JP. Pinning susceptibility:
The effect of dilute, quenched disorder on jamming. Physical Review Letters.
2016;116(23). doi:10.1103/physrevlett.116.235501'
apa: 'Graves, A. L., Nashed, S., Padgett, E., Goodrich, C. P., Liu, A. J., &
Sethna, J. P. (2016). Pinning susceptibility: The effect of dilute, quenched disorder
on jamming. Physical Review Letters. American Physical Society. https://doi.org/10.1103/physrevlett.116.235501'
chicago: 'Graves, Amy L., Samer Nashed, Elliot Padgett, Carl Peter Goodrich, Andrea
J. Liu, and James P. Sethna. “Pinning Susceptibility: The Effect of Dilute, Quenched
Disorder on Jamming.” Physical Review Letters. American Physical Society,
2016. https://doi.org/10.1103/physrevlett.116.235501.'
ieee: 'A. L. Graves, S. Nashed, E. Padgett, C. P. Goodrich, A. J. Liu, and J. P.
Sethna, “Pinning susceptibility: The effect of dilute, quenched disorder on jamming,”
Physical Review Letters, vol. 116, no. 23. American Physical Society, 2016.'
ista: 'Graves AL, Nashed S, Padgett E, Goodrich CP, Liu AJ, Sethna JP. 2016. Pinning
susceptibility: The effect of dilute, quenched disorder on jamming. Physical Review
Letters. 116(23), 235501.'
mla: 'Graves, Amy L., et al. “Pinning Susceptibility: The Effect of Dilute, Quenched
Disorder on Jamming.” Physical Review Letters, vol. 116, no. 23, 235501,
American Physical Society, 2016, doi:10.1103/physrevlett.116.235501.'
short: A.L. Graves, S. Nashed, E. Padgett, C.P. Goodrich, A.J. Liu, J.P. Sethna,
Physical Review Letters 116 (2016).
date_created: 2020-04-30T11:40:10Z
date_published: 2016-06-10T00:00:00Z
date_updated: 2021-01-12T08:15:21Z
day: '10'
doi: 10.1103/physrevlett.116.235501
extern: '1'
intvolume: ' 116'
issue: '23'
language:
- iso: eng
month: '06'
oa_version: None
publication: Physical Review Letters
publication_identifier:
issn:
- 0031-9007
- 1079-7114
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
status: public
title: 'Pinning susceptibility: The effect of dilute, quenched disorder on jamming'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 116
year: '2016'
...
---
_id: '7762'
abstract:
- lang: eng
text: Characterizing structural inhomogeneity is an essential step in understanding
the mechanical response of amorphous materials. We introduce a threshold-free
measure based on the field of vectors pointing from the center of each particle
to the centroid of the Voronoi cell in which the particle resides. These vectors
tend to point in toward regions of high free volume and away from regions of low
free volume, reminiscent of sinks and sources in a vector field. We compute the
local divergence of these vectors, where positive values correspond to overpacked
regions and negative values identify underpacked regions within the material.
Distributions of this divergence are nearly Gaussian with zero mean, allowing
for structural characterization using only the moments of the distribution. We
explore how the standard deviation and skewness vary with the packing fraction
for simulations of bidisperse systems and find a kink in these moments that coincides
with the jamming transition.
article_number: '088001 '
article_processing_charge: No
article_type: original
author:
- first_name: Jennifer M.
full_name: Rieser, Jennifer M.
last_name: Rieser
- first_name: Carl Peter
full_name: Goodrich, Carl Peter
id: EB352CD2-F68A-11E9-89C5-A432E6697425
last_name: Goodrich
orcid: 0000-0002-1307-5074
- first_name: Andrea J.
full_name: Liu, Andrea J.
last_name: Liu
- first_name: Douglas J.
full_name: Durian, Douglas J.
last_name: Durian
citation:
ama: 'Rieser JM, Goodrich CP, Liu AJ, Durian DJ. Divergence of Voronoi cell anisotropy
vector: A threshold-free characterization of local structure in amorphous materials.
Physical Review Letters. 2016;116(8). doi:10.1103/physrevlett.116.088001'
apa: 'Rieser, J. M., Goodrich, C. P., Liu, A. J., & Durian, D. J. (2016). Divergence
of Voronoi cell anisotropy vector: A threshold-free characterization of local
structure in amorphous materials. Physical Review Letters. American Physical
Society. https://doi.org/10.1103/physrevlett.116.088001'
chicago: 'Rieser, Jennifer M., Carl Peter Goodrich, Andrea J. Liu, and Douglas J.
Durian. “Divergence of Voronoi Cell Anisotropy Vector: A Threshold-Free Characterization
of Local Structure in Amorphous Materials.” Physical Review Letters. American
Physical Society, 2016. https://doi.org/10.1103/physrevlett.116.088001.'
ieee: 'J. M. Rieser, C. P. Goodrich, A. J. Liu, and D. J. Durian, “Divergence of
Voronoi cell anisotropy vector: A threshold-free characterization of local structure
in amorphous materials,” Physical Review Letters, vol. 116, no. 8. American
Physical Society, 2016.'
ista: 'Rieser JM, Goodrich CP, Liu AJ, Durian DJ. 2016. Divergence of Voronoi cell
anisotropy vector: A threshold-free characterization of local structure in amorphous
materials. Physical Review Letters. 116(8), 088001.'
mla: 'Rieser, Jennifer M., et al. “Divergence of Voronoi Cell Anisotropy Vector:
A Threshold-Free Characterization of Local Structure in Amorphous Materials.”
Physical Review Letters, vol. 116, no. 8, 088001, American Physical Society,
2016, doi:10.1103/physrevlett.116.088001.'
short: J.M. Rieser, C.P. Goodrich, A.J. Liu, D.J. Durian, Physical Review Letters
116 (2016).
date_created: 2020-04-30T11:40:25Z
date_published: 2016-02-23T00:00:00Z
date_updated: 2021-01-12T08:15:22Z
day: '23'
doi: 10.1103/physrevlett.116.088001
extern: '1'
intvolume: ' 116'
issue: '8'
language:
- iso: eng
month: '02'
oa_version: None
publication: Physical Review Letters
publication_identifier:
issn:
- 0031-9007
- 1079-7114
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
status: public
title: 'Divergence of Voronoi cell anisotropy vector: A threshold-free characterization
of local structure in amorphous materials'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 116
year: '2016'
...
---
_id: '7765'
abstract:
- lang: eng
text: 'We introduce a principle unique to disordered solids wherein the contribution
of any bond to one global perturbation is uncorrelated with its contribution to
another. Coupled with sufficient variability in the contributions of different
bonds, this “independent bond-level response” paves the way for the design of
real materials with unusual and exquisitely tuned properties. To illustrate this,
we choose two global perturbations: compression and shear. By applying a bond
removal procedure that is both simple and experimentally relevant to remove a
very small fraction of bonds, we can drive disordered spring networks to both
the incompressible and completely auxetic limits of mechanical behavior.'
article_number: '225501'
article_processing_charge: No
article_type: original
author:
- first_name: Carl Peter
full_name: Goodrich, Carl Peter
id: EB352CD2-F68A-11E9-89C5-A432E6697425
last_name: Goodrich
orcid: 0000-0002-1307-5074
- first_name: Andrea J.
full_name: Liu, Andrea J.
last_name: Liu
- first_name: Sidney R.
full_name: Nagel, Sidney R.
last_name: Nagel
citation:
ama: 'Goodrich CP, Liu AJ, Nagel SR. The principle of independent bond-level response:
Tuning by pruning to exploit disorder for global behavior. Physical Review
Letters. 2015;114(22). doi:10.1103/physrevlett.114.225501'
apa: 'Goodrich, C. P., Liu, A. J., & Nagel, S. R. (2015). The principle of independent
bond-level response: Tuning by pruning to exploit disorder for global behavior.
Physical Review Letters. American Physical Society. https://doi.org/10.1103/physrevlett.114.225501'
chicago: 'Goodrich, Carl Peter, Andrea J. Liu, and Sidney R. Nagel. “The Principle
of Independent Bond-Level Response: Tuning by Pruning to Exploit Disorder for
Global Behavior.” Physical Review Letters. American Physical Society, 2015.
https://doi.org/10.1103/physrevlett.114.225501.'
ieee: 'C. P. Goodrich, A. J. Liu, and S. R. Nagel, “The principle of independent
bond-level response: Tuning by pruning to exploit disorder for global behavior,”
Physical Review Letters, vol. 114, no. 22. American Physical Society, 2015.'
ista: 'Goodrich CP, Liu AJ, Nagel SR. 2015. The principle of independent bond-level
response: Tuning by pruning to exploit disorder for global behavior. Physical
Review Letters. 114(22), 225501.'
mla: 'Goodrich, Carl Peter, et al. “The Principle of Independent Bond-Level Response:
Tuning by Pruning to Exploit Disorder for Global Behavior.” Physical Review
Letters, vol. 114, no. 22, 225501, American Physical Society, 2015, doi:10.1103/physrevlett.114.225501.'
short: C.P. Goodrich, A.J. Liu, S.R. Nagel, Physical Review Letters 114 (2015).
date_created: 2020-04-30T11:41:08Z
date_published: 2015-06-04T00:00:00Z
date_updated: 2021-01-12T08:15:23Z
day: '04'
doi: 10.1103/physrevlett.114.225501
extern: '1'
intvolume: ' 114'
issue: '22'
language:
- iso: eng
month: '06'
oa_version: None
publication: Physical Review Letters
publication_identifier:
issn:
- 0031-9007
- 1079-7114
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
status: public
title: 'The principle of independent bond-level response: Tuning by pruning to exploit
disorder for global behavior'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 114
year: '2015'
...
---
_id: '7771'
abstract:
- lang: eng
text: 'In their Letter, Schreck, Bertrand, O''Hern and Shattuck [Phys. Rev. Lett.
107, 078301 (2011)] study nonlinearities in jammed particulate systems that arise
when contacts are altered. They conclude that there is "no harmonic regime in
the large system limit for all compressions" and "at jamming onset for any system
size." Their argument rests on the claim that for finite-range repulsive potentials,
of the form used in studies of jamming, the breaking or forming of a single contact
is sufficient to destroy the linear regime. We dispute these conclusions and argue
that linear response is both justified and essential for understanding the nature
of the jammed solid. '
article_number: '049801 '
article_processing_charge: No
article_type: letter_note
arxiv: 1
author:
- first_name: Carl Peter
full_name: Goodrich, Carl Peter
id: EB352CD2-F68A-11E9-89C5-A432E6697425
last_name: Goodrich
orcid: 0000-0002-1307-5074
- first_name: Andrea J.
full_name: Liu, Andrea J.
last_name: Liu
- first_name: Sidney R.
full_name: Nagel, Sidney R.
last_name: Nagel
citation:
ama: Goodrich CP, Liu AJ, Nagel SR. Comment on “Repulsive contact interactions make
jammed particulate systems inherently nonharmonic.” Physical Review Letters.
2014;112(4). doi:10.1103/physrevlett.112.049801
apa: Goodrich, C. P., Liu, A. J., & Nagel, S. R. (2014). Comment on “Repulsive
contact interactions make jammed particulate systems inherently nonharmonic.”
Physical Review Letters. American Physical Society. https://doi.org/10.1103/physrevlett.112.049801
chicago: Goodrich, Carl Peter, Andrea J. Liu, and Sidney R. Nagel. “Comment on ‘Repulsive
Contact Interactions Make Jammed Particulate Systems Inherently Nonharmonic.’”
Physical Review Letters. American Physical Society, 2014. https://doi.org/10.1103/physrevlett.112.049801.
ieee: C. P. Goodrich, A. J. Liu, and S. R. Nagel, “Comment on ‘Repulsive contact
interactions make jammed particulate systems inherently nonharmonic,’” Physical
Review Letters, vol. 112, no. 4. American Physical Society, 2014.
ista: Goodrich CP, Liu AJ, Nagel SR. 2014. Comment on “Repulsive contact interactions
make jammed particulate systems inherently nonharmonic”. Physical Review Letters.
112(4), 049801.
mla: Goodrich, Carl Peter, et al. “Comment on ‘Repulsive Contact Interactions Make
Jammed Particulate Systems Inherently Nonharmonic.’” Physical Review Letters,
vol. 112, no. 4, 049801, American Physical Society, 2014, doi:10.1103/physrevlett.112.049801.
short: C.P. Goodrich, A.J. Liu, S.R. Nagel, Physical Review Letters 112 (2014).
date_created: 2020-04-30T11:42:39Z
date_published: 2014-04-20T00:00:00Z
date_updated: 2021-01-12T08:15:26Z
day: '20'
doi: 10.1103/physrevlett.112.049801
extern: '1'
external_id:
arxiv:
- '1306.1285'
intvolume: ' 112'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1306.1285
month: '04'
oa: 1
oa_version: Preprint
publication: Physical Review Letters
publication_identifier:
issn:
- 0031-9007
- 1079-7114
publication_status: published
publisher: American Physical Society
status: public
title: Comment on “Repulsive contact interactions make jammed particulate systems
inherently nonharmonic”
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 112
year: '2014'
...
---
_id: '7776'
abstract:
- lang: eng
text: We present an analysis of finite-size effects in jammed packings of N soft,
frictionless spheres at zero temperature. There is a 1/N correction to the discrete
jump in the contact number at the transition so that jammed packings exist only
above isostaticity. As a result, the canonical power-law scalings of the contact
number and elastic moduli break down at low pressure. These quantities exhibit
scaling collapse with a nontrivial scaling function, demonstrating that the jamming
transition can be considered a phase transition. Scaling is achieved as a function
of N in both two and three dimensions, indicating an upper critical dimension
of 2.
article_number: '095704'
article_processing_charge: No
article_type: original
author:
- first_name: Carl Peter
full_name: Goodrich, Carl Peter
id: EB352CD2-F68A-11E9-89C5-A432E6697425
last_name: Goodrich
orcid: 0000-0002-1307-5074
- first_name: Andrea J.
full_name: Liu, Andrea J.
last_name: Liu
- first_name: Sidney R.
full_name: Nagel, Sidney R.
last_name: Nagel
citation:
ama: Goodrich CP, Liu AJ, Nagel SR. Finite-size scaling at the jamming transition.
Physical Review Letters. 2012;109(9). doi:10.1103/physrevlett.109.095704
apa: Goodrich, C. P., Liu, A. J., & Nagel, S. R. (2012). Finite-size scaling
at the jamming transition. Physical Review Letters. American Physical Society.
https://doi.org/10.1103/physrevlett.109.095704
chicago: Goodrich, Carl Peter, Andrea J. Liu, and Sidney R. Nagel. “Finite-Size
Scaling at the Jamming Transition.” Physical Review Letters. American Physical
Society, 2012. https://doi.org/10.1103/physrevlett.109.095704.
ieee: C. P. Goodrich, A. J. Liu, and S. R. Nagel, “Finite-size scaling at the jamming
transition,” Physical Review Letters, vol. 109, no. 9. American Physical
Society, 2012.
ista: Goodrich CP, Liu AJ, Nagel SR. 2012. Finite-size scaling at the jamming transition.
Physical Review Letters. 109(9), 095704.
mla: Goodrich, Carl Peter, et al. “Finite-Size Scaling at the Jamming Transition.”
Physical Review Letters, vol. 109, no. 9, 095704, American Physical Society,
2012, doi:10.1103/physrevlett.109.095704.
short: C.P. Goodrich, A.J. Liu, S.R. Nagel, Physical Review Letters 109 (2012).
date_created: 2020-04-30T11:44:12Z
date_published: 2012-08-27T00:00:00Z
date_updated: 2021-01-12T08:15:27Z
day: '27'
doi: 10.1103/physrevlett.109.095704
extern: '1'
intvolume: ' 109'
issue: '9'
language:
- iso: eng
month: '08'
oa_version: None
publication: Physical Review Letters
publication_identifier:
issn:
- 0031-9007
- 1079-7114
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
status: public
title: Finite-size scaling at the jamming transition
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 109
year: '2012'
...