@misc{9772, author = {Trubenova, Barbora and Novak, Sebastian and Hager, Reinmar}, publisher = {Public Library of Science}, title = {{Description of the agent based simulations}}, doi = {10.1371/journal.pone.0126907.s003}, year = {2015}, } @misc{9773, author = {Friedlander, Tamar and Mayo, Avraham E. and Tlusty, Tsvi and Alon, Uri}, publisher = {Public Library of Science}, title = {{Evolutionary simulation code}}, doi = {10.1371/journal.pcbi.1004055.s002}, year = {2015}, } @article{981, abstract = {The tunability of topological surface states and controllable opening of the Dirac gap are of fundamental and practical interest in the field of topological materials. In the newly discovered topological crystalline insulators (TCIs), theory predicts that the Dirac node is protected by a crystalline symmetry and that the surface state electrons can acquire a mass if this symmetry is broken. Recent studies have detected signatures of a spontaneously generated Dirac gap in TCIs; however, the mechanism of mass formation remains elusive. In this work, we present scanning tunnelling microscopy (STM) measurements of the TCI Pb 1â'x Sn x Se for a wide range of alloy compositions spanning the topological and non-topological regimes. The STM topographies reveal a symmetry-breaking distortion on the surface, which imparts mass to the otherwise massless Dirac electrons-a mechanism analogous to the long sought-after Higgs mechanism in particle physics. Interestingly, the measured Dirac gap decreases on approaching the trivial phase, whereas the magnitude of the distortion remains nearly constant. Our data and calculations reveal that the penetration depth of Dirac surface states controls the magnitude of the Dirac mass. At the limit of the critical composition, the penetration depth is predicted to go to infinity, resulting in zero mass, consistent with our measurements. Finally, we discover the existence of surface states in the non-topological regime, which have the characteristics of gapped, double-branched Dirac fermions and could be exploited in realizing superconductivity in these materials.}, author = {Zeljkovic, Ilija and Okada, Yoshinori and Maksym Serbyn and Sankar, Raman and Walkup, Daniel and Zhou, Wenwen and Liu, Junwei and Chang, Guoqing and Wang, Yungjui and Hasan, Md Z and Chou, Fangcheng and Lin, Hsin and Bansil, Arun and Fu, Liang and Madhavan, Vidya}, journal = {Nature Materials}, number = {3}, pages = {318 -- 324}, publisher = {Nature Publishing Group}, title = {{Dirac mass generation from crystal symmetry breaking on the surfaces of topological crystalline insulators}}, doi = {10.1038/nmat4215}, volume = {14}, year = {2015}, } @article{982, abstract = {We propose a new approach to probing ergodicity and its breakdown in one-dimensional quantum manybody systems based on their response to a local perturbation. We study the distribution of matrix elements of a local operator between the system's eigenstates, finding a qualitatively different behavior in the manybody localized (MBL) and ergodic phases. To characterize how strongly a local perturbation modifies the eigenstates, we introduce the parameter g(L) = (In (Vnm/δ)) which represents the disorder-averaged ratio of a typical matrix element of a local operator V to energy level spacing δ this parameter is reminiscent of the Thouless conductance in the single-particle localization. We show that the parameter g(L) decreases with system size L in the MBL phase and grows in the ergodic phase. We surmise that the delocalization transition occurs when g(L) is independent of system size, g(L)=gc ~ 1. We illustrate our approach by studying the many-body localization transition and resolving the many-body mobility edge in a disordered one-dimensional XXZ spin-1=2 chain using exact diagonalization and time-evolving block-decimation methods. Our criterion for the MBL transition gives insights into microscopic details of transition. Its direct physical consequences, in particular, logarithmically slow transport at the transition and extensive entanglement entropy of the eigenstates, are consistent with recent renormalization-group predictions.}, author = {Maksym Serbyn and Papić, Zlatko and Abanin, Dmitry A}, journal = {Physical Review X}, number = {4}, publisher = {American Physical Society}, title = {{Criterion for many-body localization-delocalization phase transition}}, doi = {10.1103/PhysRevX.5.041047}, volume = {5}, year = {2015}, } @article{99, abstract = {Quasiparticle excitations can compromise the performance of superconducting devices, causing high-frequency dissipation, decoherence in Josephson qubits, and braiding errors in proposed Majorana-based topological quantum computers. Quasiparticle dynamics have been studied in detail in metallic superconductors but remain relatively unexplored in semiconductor-superconductor structures, which are now being intensely pursued in the context of topological superconductivity. To this end, we use a system comprising a gate-confined semiconductor nanowire with an epitaxially grown superconductor layer, yielding an isolated, proximitized nanowire segment. We identify bound states in the semiconductor by means of bias spectroscopy, determine the characteristic temperatures and magnetic fields for quasiparticle excitations, and extract a parity lifetime (poisoning time) of the bound state in the semiconductor exceeding 10 ms.}, author = {Higginbotham, Andrew P and Albrecht, S M and Kiršanskas, Gediminas and Chang, W and Kuemmeth, Ferdinand and Krogstrup, Peter and Jespersen, Thomas and Nygård, Jesper and Flensberg, Karsten and Marcus, Charles}, journal = {Nature Physics}, number = {12}, pages = {1017 -- 1021}, publisher = {Nature Publishing Group}, title = {{Parity lifetime of bound states in a proximitized semiconductor nanowire}}, doi = {10.1038/nphys3461}, volume = {11}, year = {2015}, } @article{354, abstract = {A simple and effective method to introduce precise amounts of doping in nanomaterials produced from the bottom-up assembly of colloidal nanoparticles (NPs) is described. The procedure takes advantage of a ligand displacement step to incorporate controlled concentrations of halide ions while removing carboxylic acids from the NP surface. Upon consolidation of the NPs into dense pellets, halide ions diffuse within the crystal structure, doping the anion sublattice and achieving n-type electrical doping. Through the characterization of the thermoelectric properties of nanocrystalline PbS, we demonstrate this strategy to be effective to control charge transport properties on thermoelectric nanomaterials assembled from NP building blocks. This approach is subsequently extended to PbTexSe1-x@PbS core-shell NPs, where a significant enhancement of the thermoelectric figure of merit is achieved. }, author = {Ibáñez, Maria and Korkosz, Rachel and Luo, Zhishan and Riba, Pau and Cadavid, Doris and Ortega, Silvia and Cabot, Andreu and Kanatzidis, Mercouri}, journal = {Journal of the American Chemical Society}, number = {12}, pages = {4046 -- 4049}, publisher = {American Chemical Society}, title = {{Electron doping in bottom up engineered thermoelectric nanomaterials through HCl mediated ligand displacement}}, doi = {10.1021/jacs.5b00091}, volume = {137}, year = {2015}, } @article{360, abstract = {A cation exchange-based route was used to produce Cu2ZnSnS4 (CZTS)-Ag2S nanoparticles with controlled composition. We report a detailed study of the formation of such CZTS-Ag2S nanoheterostructures and of their photocatalytic properties. When compared to pure CZTS, the use of nanoscale p-n heterostructures as light absorbers for photocatalytic water splitting provides superior photocurrents. We associate this experimental fact to a higher separation efficiency of the photogenerated electron-hole pairs. We believe this and other type-II nanoheterostructures will open the door to the use of CZTS, with excellent light absorption properties and made of abundant and environmental friendly elements, to the field of photocatalysis. }, author = {Yu, Xuelian and Liu, Jingjing and Genç, Aziz and Ibáñez, Maria and Luo, Zhishan and Shavel, Alexey and Arbiol, Jordi and Zhang, Guangjin and Zhang, Yihe and Cabot, Andreu}, journal = {Langmuir}, number = {38}, pages = {10555 -- 10561}, publisher = {American Chemical Society}, title = {{Cu2ZnSnS4-Ag2S nanoscale p-n heterostructures as sensitizers for photoelectrochemical water splitting}}, doi = {10.1021/acs.langmuir.5b02490}, volume = {31}, year = {2015}, } @article{361, abstract = {We report the synthesis and photocatalytic and magnetic characterization of colloidal nanoheterostructures formed by combining a Pt-based magnetic metal alloy (PtCo, PtNi) with Cu2ZnSnS4 (CZTS). While CZTS is one of the main candidate materials for solar energy conversion, the introduction of a Pt-based alloy on its surface strongly influences its chemical and electronic properties, ultimately determining its functionality. In this regard, up to a 15-fold increase of the photocatalytic hydrogen evolution activity was obtained with CZTS–PtCo when compared with CZTS. Furthermore, two times higher hydrogen evolution rates were obtained for CZTS–PtCo when compared with CZTS–Pt, in spite of the lower precious metal loading of the former. Besides, the magnetic properties of the PtCo nanoparticles attached to the CZTS nanocrystals were retained in the heterostructures, which could facilitate catalyst purification and recovery for its posterior recycling and/or reutilization.}, author = {Yu, Xuelian and An, Xiaoqiang and Genç, Aziz and Ibáñez, Maria and Arbiol, Jordi and Zhang, Yihe and Cabot, Andreu}, journal = {Journal of Physical Chemistry C}, number = {38}, pages = {21882 -- 21888}, publisher = {American Chemical Society}, title = {{Cu2ZnSnS4–PtM (M = Co, Ni) nanoheterostructures for photocatalytic hydrogen evolution}}, doi = {10.1021/acs.jpcc.5b06199}, volume = {119}, year = {2015}, } @article{362, abstract = {Monodisperse Pd2Sn nanorods with tuned size and aspect ratio were prepared by co-reduction of metal salts in the presence of trioctylphosphine, amine, and chloride ions. Asymmetric Pd2Sn nanostructures were achieved by the selective desorption of a surfactant mediated by chlorine ions. A preliminary evaluation of the geometry influence on catalytic properties evidenced Pd2Sn nanorods to have improved catalytic performance. In view of these results, Pd2Sn nanorods were also evaluated for water denitration. }, author = {Lu, Zhishan and Ibáñez, Maria and Antolín, Ana and Genç, Aziz and Shavel, Alexey and Contreras, Sandra and Medina, Francesc and Arbiol, Jordi and Cabot, Andreu}, journal = {Langmuir}, number = {13}, pages = {3952 -- 3957}, publisher = {American Chemical Society}, title = {{Size and aspect ratio control of Pd inf 2 inf Sn nanorods and their water denitration properties}}, doi = {10.1021/la504906q}, volume = {31}, year = {2015}, } @article{388, abstract = {We use ultrafast optical spectroscopy to observe binding of charged single-particle excitations (SE) in the magnetically frustrated Mott insulator Na2IrO3. Above the antiferromagnetic ordering temperature (TN) the system response is due to both Hubbard excitons (HE) and their constituent unpaired SE. The SE response becomes strongly suppressed immediately below TN. We argue that this increase in binding energy is due to a unique interplay between the frustrated Kitaev and the weak Heisenberg-type ordering term in the Hamiltonian, mediating an effective interaction between the spin-singlet SE. This interaction grows with distance causing the SE to become trapped in the HE, similar to quark confinement inside hadrons. This binding of charged particles, induced by magnetic ordering, is a result of a confinement-deconfinement transition of spin excitations. This observation provides evidence for spin liquid type behavior which is expected in Na2IrO3.}, author = {Alpichshev, Zhanybek and Mahmood, Fahad and Cao, Gang and Gedik, Nuh}, journal = {Physical Review Letters}, number = {1}, publisher = {American Physical Society}, title = {{Confinement deconfinement transition as an indication of spin liquid type behavior in Na2IrO3}}, doi = {10.1103/PhysRevLett.114.017203}, volume = {114}, year = {2015}, } @article{248, abstract = {For any pencil of conics or higher-dimensional quadrics over ℚ, with all degenerate fibres defined over ℚ, we show that the Brauer–Manin obstruction controls weak approximation. The proof is based on the Hasse principle and weak approximation for some special intersections of quadrics over ℚ, which is a consequence of recent advances in additive combinatorics.}, author = {Timothy Browning and Matthiesen, Lilian and Skorobogatov, Alexei N}, journal = {Annals of Mathematics}, number = {1}, pages = {381 -- 402}, publisher = {John Hopkins University Press}, title = {{Rational points on pencils of conics and quadrics with many degenerate fibres}}, doi = {https://doi.org/10.4007/annals.2014.180.1.8}, volume = {180}, year = {2014}, } @article{249, abstract = {A version of the Hardy-Littlewood circle method is developed for number fields K/ℚ and is used to show that nonsingular projective cubic hypersurfaces over K always have a K-rational point when they have dimension at least 8. }, author = {Timothy Browning and Vishe, Pankaj}, journal = {Duke Mathematical Journal}, number = {10}, pages = {1825 -- 1883}, publisher = {Duke University Press}, title = {{Cubic hypersurfaces and a version of the circle method for number fields}}, doi = {10.1215/00127094-2738530}, volume = {163}, year = {2014}, } @article{252, abstract = {For any number field k, upper bounds are established for the number of k-rational points of bounded height on non-singular del Pezzo surfaces defined over k, which are equipped with suitable conic bundle structures over k.}, author = {Timothy Browning and Jones, Michael S}, journal = {Acta Arithmetica}, number = {3}, pages = {271 -- 298}, publisher = {Instytut Matematyczny}, title = {{Counting rational points on del Pezzo surfaces with a conic bundle structure}}, doi = {10.4064/aa163-3-6}, volume = {163}, year = {2014}, } @article{254, abstract = {A new "polynomial sieve" is presented and used to show that almost all integers have at most one representation as a sum of two values of a given polynomial of degree at least 3.}, author = {Timothy Browning}, journal = {International Mathematics Research Notices}, number = {7}, pages = {1987 -- 2019}, publisher = {Oxford University Press}, title = {{The polynomial sieve and equal sums of like polynomials}}, doi = {10.1093/imrn/rnt350}, volume = {2015}, year = {2014}, } @article{255, abstract = {We investigate the Hasse principle for complete intersections cut out by a quadric hypersurface and a cubic hypersurface defined over the rational numbers.}, author = {Browning, Timothy D and Dietmann, Rainer and Heath Brown, Roger}, journal = {Journal of the Institute of Mathematics of Jussieu}, number = {4}, pages = {703 -- 749}, publisher = {Cambridge University Press}, title = {{Rational points on intersections of cubic and quadric hypersurfaces}}, doi = {10.1017/S1474748014000127}, volume = {14}, year = {2014}, } @article{2699, abstract = {We prove the universality of the β-ensembles with convex analytic potentials and for any β > 0, i.e. we show that the spacing distributions of log-gases at any inverse temperature β coincide with those of the Gaussian β-ensembles.}, author = {Erdös, László and Bourgade, Paul and Yau, Horng}, journal = {Duke Mathematical Journal}, number = {6}, pages = {1127 -- 1190}, publisher = {Duke University Press}, title = {{Universality of general β-ensembles}}, doi = {10.1215/00127094-2649752}, volume = {163}, year = {2014}, } @article{2716, abstract = {Multi-dimensional mean-payoff and energy games provide the mathematical foundation for the quantitative study of reactive systems, and play a central role in the emerging quantitative theory of verification and synthesis. In this work, we study the strategy synthesis problem for games with such multi-dimensional objectives along with a parity condition, a canonical way to express ω ω -regular conditions. While in general, the winning strategies in such games may require infinite memory, for synthesis the most relevant problem is the construction of a finite-memory winning strategy (if one exists). Our main contributions are as follows. First, we show a tight exponential bound (matching upper and lower bounds) on the memory required for finite-memory winning strategies in both multi-dimensional mean-payoff and energy games along with parity objectives. This significantly improves the triple exponential upper bound for multi energy games (without parity) that could be derived from results in literature for games on vector addition systems with states. Second, we present an optimal symbolic and incremental algorithm to compute a finite-memory winning strategy (if one exists) in such games. Finally, we give a complete characterization of when finite memory of strategies can be traded off for randomness. In particular, we show that for one-dimension mean-payoff parity games, randomized memoryless strategies are as powerful as their pure finite-memory counterparts.}, author = {Chatterjee, Krishnendu and Randour, Mickael and Raskin, Jean}, journal = {Acta Informatica}, number = {3-4}, pages = {129 -- 163}, publisher = {Springer}, title = {{Strategy synthesis for multi-dimensional quantitative objectives}}, doi = {10.1007/s00236-013-0182-6}, volume = {51}, year = {2014}, } @article{2852, abstract = {A robust combiner for hash functions takes two candidate implementations and constructs a hash function which is secure as long as at least one of the candidates is secure. So far, hash function combiners only aim at preserving a single property such as collision-resistance or pseudorandomness. However, when hash functions are used in protocols like TLS they are often required to provide several properties simultaneously. We therefore put forward the notion of robust multi-property combiners and elaborate on different definitions for such combiners. We then propose a combiner that provably preserves (target) collision-resistance, pseudorandomness, and being a secure message authentication code. This combiner satisfies the strongest notion we propose, which requires that the combined function satisfies every security property which is satisfied by at least one of the underlying hash function. If the underlying hash functions have output length n, the combiner has output length 2 n. This basically matches a known lower bound for black-box combiners for collision-resistance only, thus the other properties can be achieved without penalizing the length of the hash values. We then propose a combiner which also preserves the property of being indifferentiable from a random oracle, slightly increasing the output length to 2 n+ω(log n). Moreover, we show how to augment our constructions in order to make them also robust for the one-wayness property, but in this case require an a priory upper bound on the input length.}, author = {Fischlin, Marc and Lehmann, Anja and Pietrzak, Krzysztof Z}, journal = {Journal of Cryptology}, number = {3}, pages = {397 -- 428}, publisher = {Springer}, title = {{Robust multi-property combiners for hash functions}}, doi = {10.1007/s00145-013-9148-7}, volume = {27}, year = {2014}, } @inproceedings{2905, abstract = {Persistent homology is a recent grandchild of homology that has found use in science and engineering as well as in mathematics. This paper surveys the method as well as the applications, neglecting completeness in favor of highlighting ideas and directions.}, author = {Edelsbrunner, Herbert and Morozovy, Dmitriy}, location = {Kraków, Poland}, pages = {31 -- 50}, publisher = {European Mathematical Society Publishing House}, title = {{Persistent homology: Theory and practice}}, doi = {10.4171/120-1/3}, year = {2014}, } @article{3263, abstract = {Adaptation in the retina is thought to optimize the encoding of natural light signals into sequences of spikes sent to the brain. While adaptive changes in retinal processing to the variations of the mean luminance level and second-order stimulus statistics have been documented before, no such measurements have been performed when higher-order moments of the light distribution change. We therefore measured the ganglion cell responses in the tiger salamander retina to controlled changes in the second (contrast), third (skew) and fourth (kurtosis) moments of the light intensity distribution of spatially uniform temporally independent stimuli. The skew and kurtosis of the stimuli were chosen to cover the range observed in natural scenes. We quantified adaptation in ganglion cells by studying linear-nonlinear models that capture well the retinal encoding properties across all stimuli. We found that the encoding properties of retinal ganglion cells change only marginally when higher-order statistics change, compared to the changes observed in response to the variation in contrast. By analyzing optimal coding in LN-type models, we showed that neurons can maintain a high information rate without large dynamic adaptation to changes in skew or kurtosis. This is because, for uncorrelated stimuli, spatio-temporal summation within the receptive field averages away non-gaussian aspects of the light intensity distribution.}, author = {Tkacik, Gasper and Ghosh, Anandamohan and Schneidman, Elad and Segev, Ronen}, journal = {PLoS One}, number = {1}, publisher = {Public Library of Science}, title = {{Adaptation to changes in higher-order stimulus statistics in the salamander retina}}, doi = {10.1371/journal.pone.0085841}, volume = {9}, year = {2014}, }