Composite Fermi Liquid at Zero Magnetic Field in Twisted
The pursuit of exotic phases of matter outside of the extreme conditions of a quantizing
magnetic field is a long-standing quest of solid state physics. Recent experiments have …
magnetic field is a long-standing quest of solid state physics. Recent experiments have …
Exact landau level description of geometry and interaction in a flatband
Flatbands appear in many condensed matter systems, including the two-dimensional
electron gas in a high magnetic field, correlated materials, and moiré heterostructures. They …
electron gas in a high magnetic field, correlated materials, and moiré heterostructures. They …
Chiral approximation to twisted bilayer graphene: Exact intravalley inversion symmetry, nodal structure, and implications for higher magic angles
This paper presents a mathematical and numerical analysis of the flat-band wave functions
occurring in the chiral model of twisted bilayer graphene at the “magic” twist angles. We …
occurring in the chiral model of twisted bilayer graphene at the “magic” twist angles. We …
Hierarchy of ideal flatbands in chiral twisted multilayer graphene models
We propose models of twisted multilayer graphene that exhibit exactly flat Bloch bands with
arbitrary Chern numbers and ideal band geometries. The models are constructed by twisting …
arbitrary Chern numbers and ideal band geometries. The models are constructed by twisting …
Origin of model fractional Chern insulators in all topological ideal flatbands: Explicit color-entangled wave function and exact density algebra
It is commonly believed that nonuniform Berry curvature destroys the Girvin-MacDonald-
Platzman algebra and as a consequence destabilizes fractional Chern insulators. In this …
Platzman algebra and as a consequence destabilizes fractional Chern insulators. In this …
Designing topology and fractionalization in narrow gap semiconductor films via electrostatic engineering
We show that topological flat minibands can be engineered in a class of narrow gap
semiconductor films using only an external electrostatic superlattice potential. We …
semiconductor films using only an external electrostatic superlattice potential. We …
Adiabatic approximation and Aharonov-Casher bands in twisted homobilayer transition metal dichalcogenides
Topological flat moiré bands with nearly ideal quantum geometry have been identified in
homobilayer transition metal dichalcogenide moiré superlattices, and are thought to be …
homobilayer transition metal dichalcogenide moiré superlattices, and are thought to be …
Splitting of the Girvin-MacDonald-Platzman Density Wave and the Nature of Chiral Gravitons in the Fractional Quantum Hall Effect
AC Balram, GJ Sreejith, JK Jain - Physical Review Letters, 2024 - APS
A fundamental manifestation of the nontrivial correlations of an incompressible fractional
quantum Hall (FQH) state is that an electron added to it disintegrates into more elementary …
quantum Hall (FQH) state is that an electron added to it disintegrates into more elementary …
Fractional quantum Hall effect with unconventional pairing in monolayer graphene
Motivated by the observation of even denominator fractional quantum Hall effect in the n= 3
Landau level of monolayer graphene [Kim et al., Nat. Phys. 15, 154 (2019) NPAHAX 1745 …
Landau level of monolayer graphene [Kim et al., Nat. Phys. 15, 154 (2019) NPAHAX 1745 …
Numerical investigation of the structure factors of the Read-Rezayi series
We numerically investigate the guiding center structure factors of several states in the Read-
Rezayi family. Using exact diagonalizations on the torus and density matrix renormalization …
Rezayi family. Using exact diagonalizations on the torus and density matrix renormalization …