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Anderson Localization and the Quantum Phase Diagram of Three Dimensional Disordered Dirac Semimetals.
We study the quantum phase diagram of a three dimensional noninteracting Dirac semimetal in the presence of either quenched axial or scalar potential disorder, by calculating the average and theExpand
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Axial anomaly and longitudinal magnetoresistance of a generic three dimensional metal
We show that the emergence of the axial anomaly is a universal phenomenon for a generic three-dimensional metal in the presence of parallel electric (E) and magnetic (B) fields. In contrast to theExpand
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Nearest neighbor tight binding models with an exact mobility edge in one dimension.
We investigate localization properties in a family of deterministic (i.e., no disorder) nearest neighbor tight binding models with quasiperiodic on site modulation. We prove that this family isExpand
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Kondo Destruction and Quantum Criticality in Kondo Lattice Systems
Considerable efforts have been made in recent years to theoretically understand quantum phase transitions in Kondo lattice systems. A particular focus is on Kondo destruction, which leads to quantumExpand
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Quantum nonergodicity and fermion localization in a system with a single-particle mobility edge
Quantum thermalization of isolated systems undergoing unitary time evolution is a fundamental problem in quantum statistical mechanics. Its study has been revived recently in the context of many-bodyExpand
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Transport properties across the many-body localization transition in quasiperiodic and random systems
We theoretically study transport properties in one-dimensional interacting quasiperiodic systems at infinite temperature. We compare and contrast the dynamical transport properties across theExpand
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Quantum criticality in the pseudogap Bose-Fermi Anderson and Kondo models: Interplay between fermion- and boson-induced Kondo destruction
We address the phenomenon of critical Kondo destruction in pseudogap Bose-Fermi Anderson and Kondo quantum impurity models. These models describe a localized level coupled both to a fermionic bathExpand
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Rare region induced avoided quantum criticality in disordered three-dimensional Dirac and Weyl semimetals
We numerically study the effect of short ranged potential disorder on massless noninteracting three-dimensional Dirac and Weyl fermions, with a focus on the question of the proposed quantum criticalExpand
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Filling-enforced nonsymmorphic Kondo semimetals in two dimensions
We study the competition between Kondo screening and frustrated magnetism on the nonsymmorphic Shastry-Sutherland Kondo lattice at a filling of two conduction electrons per unit cell. This model isExpand
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Quantum phases of disordered three-dimensional Majorana-Weyl fermions
The gapless Bogoliubov-de Gennes (BdG) quasiparticles of a clean three dimensional spinless p_x + ip_y superconductor provide an intriguing example of a thermal Hall semimetal (ThSM) phase ofExpand
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