---
_id: '9334'
abstract:
- lang: eng
  text: 'Polaritons with directional in-plane propagation and ultralow losses in van
    der Waals (vdW) crystals promise unprecedented manipulation of light at the nanoscale.
    However, these polaritons present a crucial limitation: their directional propagation
    is intrinsically determined by the crystal structure of the host material, imposing
    forbidden directions of propagation. Here, we demonstrate that directional polaritons
    (in-plane hyperbolic phonon polaritons) in a vdW crystal (α-phase molybdenum trioxide)
    can be directed along forbidden directions by inducing an optical topological
    transition, which emerges when the slab is placed on a substrate with a given
    negative permittivity (4H–silicon carbide). By visualizing the transition in real
    space, we observe exotic polaritonic states between mutually orthogonal hyperbolic
    regimes, which unveil the topological origin of the transition: a gap opening
    in the dispersion. This work provides insights into optical topological transitions
    in vdW crystals, which introduce a route to direct light at the nanoscale.'
acknowledgement: 'G.Á.-P. and J.T.-G. acknowledge support through the Severo Ochoa
  Program from the government of the Principality of Asturias (grant nos. PA20-PF-BP19-053
  and PA-18-PF-BP17-126, respectively). K.V.V. and V.S.V. acknowledge the Ministry
  of Science and Higher Education of the Russian Federation (no. 0714-2020-0002).
  J. M.-S. acknowledges financial support through the Ramón y Cajal Program from the
  government of Spain and FSE (RYC2018-026196-I). A.Y.N. acknowledges the Spanish
  Ministry of Science, Innovation and Universities (national project no. MAT201788358-C3-3-R),
  and the Basque Department of Education (PIBA-2020-1-0014). P.A.-G. acknowledges
  support from the European Research Council under starting grant no. 715496, 2DNANOPTICA. '
article_number: eabf2690
article_processing_charge: No
article_type: original
author:
- first_name: J.
  full_name: Duan, J.
  last_name: Duan
- first_name: G.
  full_name: Álvarez-Pérez, G.
  last_name: Álvarez-Pérez
- first_name: K. V.
  full_name: Voronin, K. V.
  last_name: Voronin
- first_name: Ivan
  full_name: Prieto Gonzalez, Ivan
  id: 2A307FE2-F248-11E8-B48F-1D18A9856A87
  last_name: Prieto Gonzalez
  orcid: 0000-0002-7370-5357
- first_name: J.
  full_name: Taboada-Gutiérrez, J.
  last_name: Taboada-Gutiérrez
- first_name: V. S.
  full_name: Volkov, V. S.
  last_name: Volkov
- first_name: J.
  full_name: Martín-Sánchez, J.
  last_name: Martín-Sánchez
- first_name: A. Y.
  full_name: Nikitin, A. Y.
  last_name: Nikitin
- first_name: P.
  full_name: Alonso-González, P.
  last_name: Alonso-González
citation:
  ama: Duan J, Álvarez-Pérez G, Voronin KV, et al. Enabling propagation of anisotropic
    polaritons along forbidden directions via a topological transition. <i>Science
    Advances</i>. 2021;7(14). doi:<a href="https://doi.org/10.1126/sciadv.abf2690">10.1126/sciadv.abf2690</a>
  apa: Duan, J., Álvarez-Pérez, G., Voronin, K. V., Prieto Gonzalez, I., Taboada-Gutiérrez,
    J., Volkov, V. S., … Alonso-González, P. (2021). Enabling propagation of anisotropic
    polaritons along forbidden directions via a topological transition. <i>Science
    Advances</i>. AAAS. <a href="https://doi.org/10.1126/sciadv.abf2690">https://doi.org/10.1126/sciadv.abf2690</a>
  chicago: Duan, J., G. Álvarez-Pérez, K. V. Voronin, Ivan Prieto Gonzalez, J. Taboada-Gutiérrez,
    V. S. Volkov, J. Martín-Sánchez, A. Y. Nikitin, and P. Alonso-González. “Enabling
    Propagation of Anisotropic Polaritons along Forbidden Directions via a Topological
    Transition.” <i>Science Advances</i>. AAAS, 2021. <a href="https://doi.org/10.1126/sciadv.abf2690">https://doi.org/10.1126/sciadv.abf2690</a>.
  ieee: J. Duan <i>et al.</i>, “Enabling propagation of anisotropic polaritons along
    forbidden directions via a topological transition,” <i>Science Advances</i>, vol.
    7, no. 14. AAAS, 2021.
  ista: Duan J, Álvarez-Pérez G, Voronin KV, Prieto Gonzalez I, Taboada-Gutiérrez
    J, Volkov VS, Martín-Sánchez J, Nikitin AY, Alonso-González P. 2021. Enabling
    propagation of anisotropic polaritons along forbidden directions via a topological
    transition. Science Advances. 7(14), eabf2690.
  mla: Duan, J., et al. “Enabling Propagation of Anisotropic Polaritons along Forbidden
    Directions via a Topological Transition.” <i>Science Advances</i>, vol. 7, no.
    14, eabf2690, AAAS, 2021, doi:<a href="https://doi.org/10.1126/sciadv.abf2690">10.1126/sciadv.abf2690</a>.
  short: J. Duan, G. Álvarez-Pérez, K.V. Voronin, I. Prieto Gonzalez, J. Taboada-Gutiérrez,
    V.S. Volkov, J. Martín-Sánchez, A.Y. Nikitin, P. Alonso-González, Science Advances
    7 (2021).
date_created: 2021-04-18T22:01:42Z
date_published: 2021-04-02T00:00:00Z
date_updated: 2023-08-08T13:11:31Z
day: '02'
ddc:
- '530'
department:
- _id: NanoFab
doi: 10.1126/sciadv.abf2690
external_id:
  isi:
  - '000636455600027'
  pmid:
  - '33811076'
file:
- access_level: open_access
  checksum: 4b383d4a1d484a71bbc64ecf401bbdbb
  content_type: application/pdf
  creator: dernst
  date_created: 2021-04-19T11:17:29Z
  date_updated: 2021-04-19T11:17:29Z
  file_id: '9343'
  file_name: 2021_ScienceAdv_Duan.pdf
  file_size: 717489
  relation: main_file
  success: 1
file_date_updated: 2021-04-19T11:17:29Z
has_accepted_license: '1'
intvolume: '         7'
isi: 1
issue: '14'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
pmid: 1
publication: Science Advances
publication_identifier:
  eissn:
  - '23752548'
publication_status: published
publisher: AAAS
quality_controlled: '1'
scopus_import: '1'
status: public
title: Enabling propagation of anisotropic polaritons along forbidden directions via
  a topological transition
tmp:
  image: /images/cc_by_nc.png
  legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
  short: CC BY-NC (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 7
year: '2021'
...
---
_id: '10177'
abstract:
- lang: eng
  text: Phonon polaritons (PhPs)—light coupled to lattice vibrations—with in-plane
    hyperbolic dispersion exhibit ray-like propagation with large wave vectors and
    enhanced density of optical states along certain directions on a surface. As such,
    they have raised a surge of interest, promising unprecedented manipulation of
    infrared light at the nanoscale in a planar circuitry. Here, we demonstrate focusing
    of in-plane hyperbolic PhPs propagating along thin slabs of α-MoO3. To that end,
    we developed metallic nanoantennas of convex geometries for both efficient launching
    and focusing of the polaritons. The foci obtained exhibit enhanced near-field
    confinement and absorption compared to foci produced by in-plane isotropic PhPs.
    Foci sizes as small as λp/4.5 = λ0/50 were achieved (λp is the polariton wavelength
    and λ0 is the photon wavelength). Focusing of in-plane hyperbolic polaritons introduces
    a first and most basic building block developing planar polariton optics using
    in-plane anisotropic van der Waals materials.
acknowledgement: J.M.-S. acknowledges financial support from the Ramón y Cajal Program
  of the Government of Spain and FSE (RYC2018-026196-I) and the Spanish Ministry of
  Science and Innovation (State Plan for Scientific and Technical Research and Innovation
  grant number PID2019-110308GA-I00). P.A.-G. acknowledges support from the European
  Research Council under starting grant no. 715496, 2DNANOPTICA, and the Spanish Ministry
  of Science and Innovation (State Plan for Scientific and Technical Research and
  Innovation grant number PID2019-111156GB-I00). J.T.-G. acknowledges support through
  the Severo Ochoa Program from the Government of the Principality of Asturias (PA-18-PF-BP17-126).
  G.A.-P. acknowledges support through the Severo Ochoa Program from the Government
  of the Principality of Asturias (PA-20-PF-BP19-053). K.V.V. and V.S.V. acknowledge
  the financial support from the Ministry of Science and Higher Education of the Russian
  Federation (agreement no. 075-15-2021-606). A.Y.N. acknowledges the Spanish Ministry
  of Science, Innovation, and Universities (national projects MAT2017-88358-C3-3-R
  and PID2020-115221GB-C42) and the Basque Department of Education (PIBA-2020-1-0014).
  R.H. acknowledges financial support from the Spanish Ministry of Science, Innovation,
  and Universities (national project number RTI2018-094830-B-100 and project number
  MDM-2016-0618 of the Marie de Maeztu Units of Excellence Program) and the Basque
  Government (grant number IT1164-19).
article_number: abj0127
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Javier
  full_name: Martín-Sánchez, Javier
  last_name: Martín-Sánchez
- first_name: Jiahua
  full_name: Duan, Jiahua
  last_name: Duan
- first_name: Javier
  full_name: Taboada-Gutiérrez, Javier
  last_name: Taboada-Gutiérrez
- first_name: Gonzalo
  full_name: Álvarez-Pérez, Gonzalo
  last_name: Álvarez-Pérez
- first_name: Kirill V.
  full_name: Voronin, Kirill V.
  last_name: Voronin
- first_name: Ivan
  full_name: Prieto Gonzalez, Ivan
  id: 2A307FE2-F248-11E8-B48F-1D18A9856A87
  last_name: Prieto Gonzalez
  orcid: 0000-0002-7370-5357
- first_name: Weiliang
  full_name: Ma, Weiliang
  last_name: Ma
- first_name: Qiaoliang
  full_name: Bao, Qiaoliang
  last_name: Bao
- first_name: Valentyn S.
  full_name: Volkov, Valentyn S.
  last_name: Volkov
- first_name: Rainer
  full_name: Hillenbrand, Rainer
  last_name: Hillenbrand
- first_name: Alexey Y.
  full_name: Nikitin, Alexey Y.
  last_name: Nikitin
- first_name: Pablo
  full_name: Alonso-González, Pablo
  last_name: Alonso-González
citation:
  ama: Martín-Sánchez J, Duan J, Taboada-Gutiérrez J, et al. Focusing of in-plane
    hyperbolic polaritons in van der Waals crystals with tailored infrared nanoantennas.
    <i>Science Advances</i>. 2021;7(41). doi:<a href="https://doi.org/10.1126/sciadv.abj0127">10.1126/sciadv.abj0127</a>
  apa: Martín-Sánchez, J., Duan, J., Taboada-Gutiérrez, J., Álvarez-Pérez, G., Voronin,
    K. V., Prieto Gonzalez, I., … Alonso-González, P. (2021). Focusing of in-plane
    hyperbolic polaritons in van der Waals crystals with tailored infrared nanoantennas.
    <i>Science Advances</i>. American Association for the Advancement of Science.
    <a href="https://doi.org/10.1126/sciadv.abj0127">https://doi.org/10.1126/sciadv.abj0127</a>
  chicago: Martín-Sánchez, Javier, Jiahua Duan, Javier Taboada-Gutiérrez, Gonzalo
    Álvarez-Pérez, Kirill V. Voronin, Ivan Prieto Gonzalez, Weiliang Ma, et al. “Focusing
    of In-Plane Hyperbolic Polaritons in van Der Waals Crystals with Tailored Infrared
    Nanoantennas.” <i>Science Advances</i>. American Association for the Advancement
    of Science, 2021. <a href="https://doi.org/10.1126/sciadv.abj0127">https://doi.org/10.1126/sciadv.abj0127</a>.
  ieee: J. Martín-Sánchez <i>et al.</i>, “Focusing of in-plane hyperbolic polaritons
    in van der Waals crystals with tailored infrared nanoantennas,” <i>Science Advances</i>,
    vol. 7, no. 41. American Association for the Advancement of Science, 2021.
  ista: Martín-Sánchez J, Duan J, Taboada-Gutiérrez J, Álvarez-Pérez G, Voronin KV,
    Prieto Gonzalez I, Ma W, Bao Q, Volkov VS, Hillenbrand R, Nikitin AY, Alonso-González
    P. 2021. Focusing of in-plane hyperbolic polaritons in van der Waals crystals
    with tailored infrared nanoantennas. Science Advances. 7(41), abj0127.
  mla: Martín-Sánchez, Javier, et al. “Focusing of In-Plane Hyperbolic Polaritons
    in van Der Waals Crystals with Tailored Infrared Nanoantennas.” <i>Science Advances</i>,
    vol. 7, no. 41, abj0127, American Association for the Advancement of Science,
    2021, doi:<a href="https://doi.org/10.1126/sciadv.abj0127">10.1126/sciadv.abj0127</a>.
  short: J. Martín-Sánchez, J. Duan, J. Taboada-Gutiérrez, G. Álvarez-Pérez, K.V.
    Voronin, I. Prieto Gonzalez, W. Ma, Q. Bao, V.S. Volkov, R. Hillenbrand, A.Y.
    Nikitin, P. Alonso-González, Science Advances 7 (2021).
date_created: 2021-10-24T22:01:33Z
date_published: 2021-10-08T00:00:00Z
date_updated: 2023-08-14T08:04:42Z
day: '08'
ddc:
- '530'
department:
- _id: NanoFab
doi: 10.1126/sciadv.abj0127
external_id:
  arxiv:
  - '2103.10852'
  isi:
  - '000704912700024'
file:
- access_level: open_access
  checksum: 0a470ef6a47d2b8a96ede4c4d28cfacd
  content_type: application/pdf
  creator: cziletti
  date_created: 2021-10-27T14:16:06Z
  date_updated: 2021-10-27T14:16:06Z
  file_id: '10189'
  file_name: 2021_ScienceAdv_Martin-Sanchez.pdf
  file_size: 2441163
  relation: main_file
  success: 1
file_date_updated: 2021-10-27T14:16:06Z
has_accepted_license: '1'
intvolume: '         7'
isi: 1
issue: '41'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
publication: Science Advances
publication_identifier:
  eissn:
  - '23752548'
publication_status: published
publisher: American Association for the Advancement of Science
quality_controlled: '1'
scopus_import: '1'
status: public
title: Focusing of in-plane hyperbolic polaritons in van der Waals crystals with tailored
  infrared nanoantennas
tmp:
  image: /images/cc_by_nc.png
  legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
  short: CC BY-NC (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 7
year: '2021'
...
---
_id: '7910'
abstract:
- lang: eng
  text: Quantum illumination uses entangled signal-idler photon pairs to boost the
    detection efficiency of low-reflectivity objects in environments with bright thermal
    noise. Its advantage is particularly evident at low signal powers, a promising
    feature for applications such as noninvasive biomedical scanning or low-power
    short-range radar. Here, we experimentally investigate the concept of quantum
    illumination at microwave frequencies. We generate entangled fields to illuminate
    a room-temperature object at a distance of 1 m in a free-space detection setup.
    We implement a digital phase-conjugate receiver based on linear quadrature measurements
    that outperforms a symmetric classical noise radar in the same conditions, despite
    the entanglement-breaking signal path. Starting from experimental data, we also
    simulate the case of perfect idler photon number detection, which results in a
    quantum advantage compared with the relative classical benchmark. Our results
    highlight the opportunities and challenges in the way toward a first room-temperature
    application of microwave quantum circuits.
article_number: eabb0451
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Shabir
  full_name: Barzanjeh, Shabir
  id: 2D25E1F6-F248-11E8-B48F-1D18A9856A87
  last_name: Barzanjeh
  orcid: 0000-0003-0415-1423
- first_name: S.
  full_name: Pirandola, S.
  last_name: Pirandola
- first_name: D
  full_name: Vitali, D
  last_name: Vitali
- first_name: Johannes M
  full_name: Fink, Johannes M
  id: 4B591CBA-F248-11E8-B48F-1D18A9856A87
  last_name: Fink
  orcid: 0000-0001-8112-028X
citation:
  ama: Barzanjeh S, Pirandola S, Vitali D, Fink JM. Microwave quantum illumination
    using a digital receiver. <i>Science Advances</i>. 2020;6(19). doi:<a href="https://doi.org/10.1126/sciadv.abb0451">10.1126/sciadv.abb0451</a>
  apa: Barzanjeh, S., Pirandola, S., Vitali, D., &#38; Fink, J. M. (2020). Microwave
    quantum illumination using a digital receiver. <i>Science Advances</i>. AAAS.
    <a href="https://doi.org/10.1126/sciadv.abb0451">https://doi.org/10.1126/sciadv.abb0451</a>
  chicago: Barzanjeh, Shabir, S. Pirandola, D Vitali, and Johannes M Fink. “Microwave
    Quantum Illumination Using a Digital Receiver.” <i>Science Advances</i>. AAAS,
    2020. <a href="https://doi.org/10.1126/sciadv.abb0451">https://doi.org/10.1126/sciadv.abb0451</a>.
  ieee: S. Barzanjeh, S. Pirandola, D. Vitali, and J. M. Fink, “Microwave quantum
    illumination using a digital receiver,” <i>Science Advances</i>, vol. 6, no. 19.
    AAAS, 2020.
  ista: Barzanjeh S, Pirandola S, Vitali D, Fink JM. 2020. Microwave quantum illumination
    using a digital receiver. Science Advances. 6(19), eabb0451.
  mla: Barzanjeh, Shabir, et al. “Microwave Quantum Illumination Using a Digital Receiver.”
    <i>Science Advances</i>, vol. 6, no. 19, eabb0451, AAAS, 2020, doi:<a href="https://doi.org/10.1126/sciadv.abb0451">10.1126/sciadv.abb0451</a>.
  short: S. Barzanjeh, S. Pirandola, D. Vitali, J.M. Fink, Science Advances 6 (2020).
date_created: 2020-05-31T22:00:49Z
date_published: 2020-05-06T00:00:00Z
date_updated: 2024-09-10T12:23:52Z
day: '06'
ddc:
- '530'
department:
- _id: JoFi
doi: 10.1126/sciadv.abb0451
ec_funded: 1
external_id:
  arxiv:
  - '1908.03058'
  isi:
  - '000531171100045'
file:
- access_level: open_access
  checksum: 16fa61cc1951b444ee74c07188cda9da
  content_type: application/pdf
  creator: dernst
  date_created: 2020-06-02T09:18:36Z
  date_updated: 2020-07-14T12:48:05Z
  file_id: '7913'
  file_name: 2020_ScienceAdvances_Barzanjeh.pdf
  file_size: 795822
  relation: main_file
file_date_updated: 2020-07-14T12:48:05Z
has_accepted_license: '1'
intvolume: '         6'
isi: 1
issue: '19'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
project:
- _id: 26336814-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '758053'
  name: A Fiber Optic Transceiver for Superconducting Qubits
- _id: 237CBA6C-32DE-11EA-91FC-C7463DDC885E
  call_identifier: H2020
  grant_number: '862644'
  name: Quantum readout techniques and technologies
- _id: 258047B6-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '707438'
  name: 'Microwave-to-Optical Quantum Link: Quantum Teleportation and Quantum Illumination
    with cavity Optomechanics SUPEREOM'
- _id: 257EB838-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '732894'
  name: Hybrid Optomechanical Technologies
- _id: 26927A52-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: F07105
  name: Integrating superconducting quantum circuits
publication: Science Advances
publication_identifier:
  eissn:
  - '23752548'
publication_status: published
publisher: AAAS
quality_controlled: '1'
related_material:
  link:
  - description: News on IST Homepage
    relation: press_release
    url: https://ist.ac.at/en/news/scientists-demonstrate-quantum-radar-prototype/
  record:
  - id: '9001'
    relation: later_version
    status: public
scopus_import: '1'
status: public
title: Microwave quantum illumination using a digital receiver
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 6
year: '2020'
...
---
_id: '6919'
article_number: eaaw6490
article_processing_charge: No
author:
- first_name: Chao
  full_name: Qi, Chao
  last_name: Qi
- first_name: Giulio Di
  full_name: Minin, Giulio Di
  last_name: Minin
- first_name: Irene
  full_name: Vercellino, Irene
  id: 3ED6AF16-F248-11E8-B48F-1D18A9856A87
  last_name: Vercellino
  orcid: 0000-0001-5618-3449
- first_name: Anton
  full_name: Wutz, Anton
  last_name: Wutz
- first_name: Volodymyr M.
  full_name: Korkhov, Volodymyr M.
  last_name: Korkhov
citation:
  ama: Qi C, Minin GD, Vercellino I, Wutz A, Korkhov VM. Structural basis of sterol
    recognition by human hedgehog receptor PTCH1. <i>Science Advances</i>. 2019;5(9).
    doi:<a href="https://doi.org/10.1126/sciadv.aaw6490">10.1126/sciadv.aaw6490</a>
  apa: Qi, C., Minin, G. D., Vercellino, I., Wutz, A., &#38; Korkhov, V. M. (2019).
    Structural basis of sterol recognition by human hedgehog receptor PTCH1. <i>Science
    Advances</i>. American Association for the Advancement of Science. <a href="https://doi.org/10.1126/sciadv.aaw6490">https://doi.org/10.1126/sciadv.aaw6490</a>
  chicago: Qi, Chao, Giulio Di Minin, Irene Vercellino, Anton Wutz, and Volodymyr
    M. Korkhov. “Structural Basis of Sterol Recognition by Human Hedgehog Receptor
    PTCH1.” <i>Science Advances</i>. American Association for the Advancement of Science,
    2019. <a href="https://doi.org/10.1126/sciadv.aaw6490">https://doi.org/10.1126/sciadv.aaw6490</a>.
  ieee: C. Qi, G. D. Minin, I. Vercellino, A. Wutz, and V. M. Korkhov, “Structural
    basis of sterol recognition by human hedgehog receptor PTCH1,” <i>Science Advances</i>,
    vol. 5, no. 9. American Association for the Advancement of Science, 2019.
  ista: Qi C, Minin GD, Vercellino I, Wutz A, Korkhov VM. 2019. Structural basis of
    sterol recognition by human hedgehog receptor PTCH1. Science Advances. 5(9), eaaw6490.
  mla: Qi, Chao, et al. “Structural Basis of Sterol Recognition by Human Hedgehog
    Receptor PTCH1.” <i>Science Advances</i>, vol. 5, no. 9, eaaw6490, American Association
    for the Advancement of Science, 2019, doi:<a href="https://doi.org/10.1126/sciadv.aaw6490">10.1126/sciadv.aaw6490</a>.
  short: C. Qi, G.D. Minin, I. Vercellino, A. Wutz, V.M. Korkhov, Science Advances
    5 (2019).
date_created: 2019-09-29T22:00:45Z
date_published: 2019-09-18T00:00:00Z
date_updated: 2023-08-30T06:55:31Z
day: '18'
ddc:
- '570'
department:
- _id: LeSa
doi: 10.1126/sciadv.aaw6490
external_id:
  isi:
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publication: Science Advances
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title: Structural basis of sterol recognition by human hedgehog receptor PTCH1
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