Field theoretic aspects of condensed matter physics: An overview

E Fradkin - arXiv preprint arXiv:2301.13234, 2023 - arxiv.org
In this chapter I discuss the impact of concepts of Quantum Field Theory in modern
Condensed Physics. Although the interplay between these two areas is certainly not new …

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 …

Emergent from half-filled flat Chern bands

XY Song, H Goldman, L Fu - Physical Review B, 2023 - APS
Recently, two-dimensional Dirac materials patterned with a superlattice structure have
emerged as a rich platform for exploring correlated and topological quantum matter. In this …

Lowest Landau level theory of the bosonic Jain states

H Goldman, T Senthil - Physical Review B, 2022 - APS
Quantum Hall systems offer the most familiar setting where strong interparticle interactions
combine with the topology of single-particle states to yield novel phenomena. Despite our …

The Fractional Hall hierarchy from duality

K Jensen, A Raz - arXiv preprint arXiv:2412.17761, 2024 - arxiv.org
We show that a modified version of Son's Dirac composite fermion theory proposed by
Seiberg et al gives a candidate unified description of the gapped and gapless fractional …

Composite particle construction of the Fibonacci fractional quantum Hall state

H Goldman, R Sohal, E Fradkin - Physical Review B, 2021 - APS
The Fibonacci topological order is the simplest platform for a universal topological quantum
computer. While the ν= 12/5 fractional quantum Hall (QH) state has been proposed to …

Conformal field theory and numerical techniques in the fractional quantum hall effect

GJ Henderson - 2023 - ora.ox.ac.uk
This thesis presents the development of Conformal Field Theory (CFT) methods to analyse
the topological properties of fractional quantum Hall effect (FQHE) wave functions, and …

New perspectives on fractional quantum Hall physics

R Sohal - 2021 - ideals.illinois.edu
Despite having been discovered nearly four decades ago, fractional quantum Hall (FQH)
states continue to provide platforms for the discovery of novel physical phenomena. In this …