@article { ISI:000566887300001,
title = {Avoided quantum criticality in exact numerical simulations of a single disordered Weyl cone},
journal = {Phys. Rev. B},
volume = {102},
number = {10},
year = {2020},
month = {SEP 8},
pages = {100201},
publisher = {AMER PHYSICAL SOC},
type = {Article},
abstract = {Existing theoretical works differ on whether three-dimensional Dirac and Weyl semimetals are stable to a short-range-correlated random potential. Numerical evidence suggests the semimetal to be unstable, while some field-theoretic instanton calculations have found it to be stable. The differences go beyond method: the continuum field-theoretic works use a single, perfectly linear Weyl cone, while numerical works use tight-binding lattice models which inherently have band curvature and multiple Weyl cones. In this work, we bridge this gap by performing exact numerics on the same model used in analytic treatments, and we find that all phenomena associated with rare regions near the Weyl node energy found in lattice models persist in the continuum theory: The density of states is nonzero and exhibits an avoided transition. In addition to characterizing this transition, we find rare states and show that they have the expected behavior. The simulations utilize sparse matrix techniques with formally dense matrices; doing so allows us to reach Hilbert space sizes upwards of 107 states, substantially larger than anything achieved before.},
issn = {2469-9950},
doi = {10.1103/PhysRevB.102.100201},
author = {Wilson, Justin H. and Huse, David A. and Das Sarma, S. and Pixley, J. H.}
}
@article {wilson_disorder_2020,
title = {Disorder in twisted bilayer graphene},
journal = {Phys. Rev. Res.},
volume = {2},
number = {2},
year = {2020},
note = {Place: ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA Publisher: AMER PHYSICAL SOC Type: Article},
month = {jun},
abstract = {We develop a theory for a type of disorder in condensed matter systems arising from local twist-angle fluctuations in two strongly coupled van der Waals monolayers twisted with respect to each other to create a flat-band moire superlattice. The paradigm of {\textquotedblleft}twist-angle disorder{\textquotedblright} arises from the currently ongoing intense research activity in the physics of twisted bilayer graphene. In experimental samples of pristine twisted bilayer graphene, which are nominally free of impurities and defects, the main source of disorder is believed to arise from the unavoidable and uncontrollable nonuniformity of the twist angle across the sample. To address this physics of twist-angle disorder, we develop a real-space, microscopic model of twisted bilayer graphene where the angle enters as a free parameter. In particular, we focus on the size of single-particle energy gaps separating the miniband from the rest of the spectrum, the Van Hove peaks, the renormalized Dirac cone velocity near charge neutrality, and the minibandwidth. We find that the energy gaps and minibandwidth are strongly affected by disorder while the renormalized velocity remains virtually unchanged. We discuss the implications of our results for the ongoing experiments on twisted bilayer graphene. Our theory is readily generalized to future studies of twist-angle disorder effects on all electronic properties of moire superlattices created by twisting two coupled van der Waals materials with respect to each other.},
doi = {10.1103/PhysRevResearch.2.023325},
author = {Wilson, Justin H. and Fu, Yixing and Das Sarma, S. and Pixley, J. H.}
}
@article { ISI:000575114800001,
title = {Magic-angle semimetals},
journal = {npj Quantum Mater.},
volume = {5},
number = {1},
year = {2020},
month = {OCT 6},
pages = {71},
publisher = {NATURE RESEARCH},
type = {Article},
abstract = {Breakthroughs in two-dimensional van der Waals heterostructures have revealed that twisting creates a moire pattern that quenches the kinetic energy of electrons, allowing for exotic many-body states. We show that cold atomic, trapped ion, and metamaterial systems can emulate the effects of a twist in many models from one to three dimensions. Further, we demonstrate at larger angles (and argue at smaller angles) that by considering incommensurate effects, the magic-angle effect becomes a single-particle quantum phase transition (including in a model for twisted bilayer graphene in the chiral limit). We call these models {\textquoteleft}{\textquoteleft}magic-angle semimetals{{\textquoteright}{\textquoteright}}. Each contains nodes in the band structure and an incommensurate modulation. At magic-angle criticality, we report a nonanalytic density of states, flat bands, multifractal wave functions that Anderson delocalize in momentum space, and an essentially divergent effective interaction scale. As a particular example, we discuss how to observe this effect in an ultracold Fermi gas.},
doi = {10.1038/s41535-020-00271-9},
author = {Fu, Yixing and Konig, Elio J. and Wilson, Justin H. and Chou, Yang-Zhi and Pixley, Jedediah H.}
}
@article {chou_magic-angle_2020,
title = {Magic-angle semimetals with chiral symmetry},
journal = {Phys. Rev. B},
volume = {101},
number = {23},
year = {2020},
note = {Place: ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA Publisher: AMER PHYSICAL SOC Type: Article},
month = {jun},
abstract = {We construct and solve a two-dimensional, chirally symmetric model of Dirac cones subjected to a quasiperiodic modulation. In real space, this is realized with a quasiperiodic hopping term. This hopping model, as we show, at the Dirac node energy has a rich phase diagram with a semimetal-to-metal phase transition at intermediate amplitude of the quasiperiodic modulation, and a transition to a phase with a diverging density of states (DOS) and subdiffusive transport when the quasiperiodic hopping is strongest. We further demonstrate that the semimetal-to-metal phase transition can be characterized by the multifractal structure of eigenstates in momentum space and can be considered as a unique {\textquotedblleft}unfreezing{\textquotedblright} transition. This unfreezing transition in momentum space generates flat bands with a dramatically renormalized bandwidth in the metallic phase similar to the phenomena of the band structure of twisted bilayer graphene at the magic angle. We characterize the nature of this transition numerically as well as analytically in terms of the formation of a band of topological zero modes. For pure quasiperiodic hopping, we provide strong numerical evidence that the low-energy DOS develops a divergence and the eigenstates exhibit Chalker (quantum-critical) scaling despite the model not being random. At particular commensurate limits the model realizes higher-order topological insulating phases. We discuss how these systems can be realized in experiments on ultracold atoms and metamaterials.},
issn = {2469-9950},
doi = {10.1103/PhysRevB.101.235121},
author = {Chou, Yang-Zhi and Fu, Yixing and Wilson, Justin H. and Konig, E. J. and Pixley, J. H.}
}
@article { ISI:000433032500022,
title = {Weyl Semimetal to Metal Phase Transitions Driven by Quasiperiodic Potentials},
journal = {PHYSICAL REVIEW LETTERS},
volume = {120},
number = {20},
year = {2018},
month = {MAY 18},
pages = {207604},
issn = {0031-9007},
doi = {10.1103/PhysRevLett.120.207604},
author = {Pixley, J. H. and Wilson, Justin H. and Huse, David A. and Gopalakrishnan, Sarang}
}
@article {ISI:000390246200008,
title = {Real-space mean-field theory of a spin-1 Bose gas in synthetic dimensions},
journal = {PHYSICAL REVIEW A},
volume = {94},
number = {6},
year = {2016},
month = {DEC 15},
pages = {063613},
abstract = {The internal degrees of freedom provided by ultracold atoms provide a route for realizing higher dimensional physics in systems with limited spatial dimensions. Nonspatial degrees of freedom in these systems are dubbed {\textquoteleft}{\textquoteleft}synthetic dimensions.{{\textquoteright}{\textquoteright}} This connection is useful from an experimental standpoint but complicated by the fact that interactions alter the condensate ground state. Here we use the Gross-Pitaevskii equation to study the ground-state properties of a spin-1 Bose gas under the combined influence of an optical lattice, spatially varying spin-orbit coupling, and interactions at the mean-field level. The associated phases depend on the sign of the spin-dependent interaction parameter and the strength of the spin-orbit field. We find {\textquoteleft}{\textquoteleft}charge{{\textquoteright}{\textquoteright}}- and spin-density-wave phases which are directly related to helical spin order in real space and affect the behavior of edge currents in the synthetic dimension. We determine the resulting phase diagram as a function of the spin-orbit coupling and spin-dependent interaction strength, considering both attractive (ferromagnetic) and repulsive (polar) spin-dependent interactions, and we provide a direct comparison of our results with the noninteracting case. Our findings are applicable to current and future experiments, specifically with Rb-87, Li-7, K-41, and Na-23.},
issn = {2469-9926},
doi = {10.1103/PhysRevA.94.063613},
author = {Hurst, Hilary M. and Wilson, Justin H. and Pixley, J. H. and Ian B Spielman and Natu, Stefan S.}
}
@article { ISI:000357020000003,
title = {Quantum interference phenomena in the Casimir effect},
journal = {PHYSICAL REVIEW A},
volume = {91},
number = {6},
year = {2015},
month = {JUN 29},
pages = {062512},
issn = {1050-2947},
doi = {10.1103/PhysRevA.91.062512},
author = {Allocca, Andrew A. and Wilson, Justin H. and Victor M Galitski}
}
@article {ISI:000355956500001,
title = {Repulsive Casimir force between Weyl semimetals},
journal = {PHYSICAL REVIEW B},
volume = {91},
number = {23},
year = {2015},
month = {JUN 10},
pages = {235115},
issn = {1098-0121},
doi = {10.1103/PhysRevB.91.235115},
author = {Wilson, Justin H. and Allocca, Andrew A. and Victor M Galitski}
}
@article { ISI:000341165300003,
title = {Nonanalytic behavior of the Casimir force across a Lifshitz transition in a spin-orbit-coupled material},
journal = {PHYSICAL REVIEW B},
volume = {90},
number = {7},
year = {2014},
month = {AUG 21},
issn = {1098-0121},
doi = {10.1103/PhysRevB.90.075420},
author = {Allocca, Andrew A. and Wilson, Justin H. and Victor M Galitski}
}
@article { ISI:000341164700011,
title = {Probing the structure of entanglement with entanglement moments},
journal = {SOLID STATE COMMUNICATIONS},
volume = {195},
year = {2014},
month = {OCT},
pages = {43-48},
issn = {0038-1098},
doi = {10.1016/j.ssc.2014.07.001},
author = {Wilson, Justin H. and Mitchell, Joe and Victor M Galitski}
}
@article { ISI:000345538900012,
title = {Resonant Faraday and Kerr effects due to in-gap states on the surface of a topological insulator},
journal = {PHYSICAL REVIEW B},
volume = {90},
number = {20},
year = {2014},
month = {NOV 24},
issn = {1098-0121},
doi = {10.1103/PhysRevB.90.205432},
author = {Wilson, Justin H. and Efimkin, Dmitry K. and Victor M Galitski}
}
@article {2556,
title = {Entanglement dynamics in a non-Markovian environment: An exactly solvable model},
journal = {PHYSICAL REVIEW B},
volume = {85},
year = {2012},
month = {MAY 22},
pages = {174304},
issn = {1098-0121},
doi = {10.1103/PhysRevB.85.174304},
author = {Wilson, Justin H. and Fregoso, Benjamin M. and Victor M Galitski}
}