Fractional quantum Hall effect of partons and the nature of the 8/17 state in the zeroth Landau level of bilayer graphene

AC Balram, N Regnault - Physical Review B, 2024 - APS
We consider the fractional quantum Hall effect (FQHE) at the filling factor 8/17, where
signatures of incompressibility have been observed in the zeroth Landau level of bilayer …

Very-high-energy collective states of partons in fractional quantum hall liquids

AC Balram, Z Liu, A Gromov, Z Papić - Physical Review X, 2022 - APS
The low-energy physics of fractional quantum Hall (FQH) states—a paradigm of strongly
correlated topological phases of matter—to a large extent is captured by weakly interacting …

Fractional Quantum Hall States of the Phase in the Second Landau Level

S Das, S Das, SS Mandal - Physical Review Letters, 2024 - APS
A proposal of the existence of an Anomalous phase (A phase)[Das et al., Phys. Rev. Lett.
131, 056202 (2023) PRLTAO 0031-9007 10.1103/PhysRevLett. 131.056202] at the …

Transitions from Abelian composite fermion to non-Abelian parton fractional quantum Hall states in the zeroth Landau level of bilayer graphene

AC Balram - Physical Review B, 2022 - APS
The electron-electron interaction in the Landau levels of bilayer graphene is markedly
different from that of conventional semiconductors such as GaAs. We show that in the zeroth …

Real-space entanglement spectra of parton states in fractional quantum Hall systems

A Anand, RA Patil, AC Balram, GJ Sreejith - Physical Review B, 2022 - APS
Real-space entanglement spectra (RSES) capture characteristic features of the topological
order encoded in the fractional quantum Hall (FQH) states. In this work, we numerically …

Numerical demonstration of Abelian fractional statistics of composite fermion excitations in the spherical geometry

K Bose, AC Balram - Physical Review B, 2024 - APS
Fractional quantum Hall (FQH) fluids host quasiparticle excitations that carry a fraction of the
electronic charge. Moreover, in contrast to bosons and fermions that carry exchange …

A non-Abelian parton state for the fractional quantum Hall effect

A Coimbatore Balram - SciPost Physics, 2021 - scipost.org
Fascinating structures have arisen from the study of the fractional quantum Hall effect
(FQHE) at the even denominator fraction of $5/2$. We consider the FQHE at another even …

Competition between fractional quantum Hall liquid and electron solid phases in the Landau levels of multilayer graphene

RK Dora, AC Balram - Physical Review B, 2023 - APS
We study the competition between the electron liquid and solid phases, such as Wigner
crystal and bubbles, in partially filled Landau levels (LLs) of multilayer graphene. Graphene …

Nature of the anomalous fractional quantum Hall effect in graphene

RK Dora, AC Balram - Physical Review B, 2022 - APS
Extensive fractional quantum Hall effect (FQHE) has been observed in graphene-based
materials. Some of the observed fractions are anomalous in that FQHE has not been …

Prediction of non-Abelian fractional quantum Hall effect at

K Bose, AC Balram - Physical Review B, 2023 - APS
The fractional quantum Hall effect (FQHE) in the second Landau level (SLL) likely stabilizes
non-Abelian topological orders. Recently, a parton sequence has been proposed to capture …