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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 the… Expand
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 the… Expand
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 is… Expand
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 quantum… Expand
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-body… Expand
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 the… Expand
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 bath… Expand
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 critical… Expand
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 is… Expand
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 of… Expand