11 citations · 46 across the 7 of their papers we have counts for
7 papers
Beyond the universal Dyson singularity for 1-D chains with hopping disorder
Akshay Krishna, R. N. Bhatt
We study a simple non-interacting nearest neighbor tight-binding model in one dimension with disorder, where the hopping terms are chosen randomly. This model exhibits a well-known…
Topology and many-body localization
R. N. Bhatt, Akshay Krishna
We discuss the problem of localization in two dimensional electron systems in the quantum Hall (single Landau level) regime. After briefly summarizing the well-studied problem of A…
Beyond universal behavior in the one-dimensional chain with random nearest neighbor hopping
Akshay Krishna, R. N. Bhatt
We study the one-dimensional nearest neighbor tight binding model of electrons with independently distributed random hopping and no on-site potential (i.e. off-diagonal disorder wi…
Interaction-dependent anisotropy of fractional quantum Hall states
Akshay Krishna, Fan Chen, Matteo Ippoliti +1
A fractional quantum Hall (FQH) system with broken rotational symmetry exploits its geometric degree of freedom to minimize its ground state energy. The mass anisotropy of bare par…
Localization and interactions in topological and non-topological bands in two dimensions
Akshay Krishna, Matteo Ippoliti, R. N. Bhatt
A two-dimensional electron gas in a high magnetic field displays macroscopically degenerate Landau levels, which can be split into Hofstadter subbands by means of a weak periodic p…
Many-body localization in Landau level subbands
Akshay Krishna, Matteo Ippoliti, R. N. Bhatt
We explore the problem of localization in topological and non-topological nearly-flat subbands derived from the lowest Landau level, in the presence of quenched disorder and short-…