Towards classification of Fracton phases: the multipole algebra

A Gromov - Physical Review X, 2019 - APS
We present an effective field theory approach to the fracton phases. The approach is based
on the notion of a multipole algebra. It is an extension of space (time) symmetries of a …

From fractional quantum anomalous Hall smectics to polar smectic metals: nontrivial interplay between electronic liquid crystal order and topological order in …

H Lu, HQ Wu, BB Chen, K Sun… - Reports on Progress in …, 2024 - iopscience.iop.org
Symmetry-breaking orders can not only compete with each other, but also be intertwined,
and the intertwined topological and symmetry-breaking orders make the situation more …

Theory of nematic fractional quantum hall states

Y You, GY Cho, E Fradkin - Physical Review X, 2014 - APS
We derive an effective field theory for the isotropic-nematic quantum phase transition of
fractional quantum Hall states. We demonstrate that for a system with an isotropic …

Fracton matter

A Gromov, L Radzihovsky - arxiv preprint arxiv:2211.05130, 2022 - arxiv.org
We review a burgeoning field of" fractons"--a class of models where quasi-particles are
strictly immobile or display restricted mobility that can be understood through generalized …

Colloquium: Fracton matter

A Gromov, L Radzihovsky - Reviews of Modern Physics, 2024 - APS
The burgeoning field of “fractons,” a class of models where quasiparticles are strictly
immobile or display restricted mobility that can be understood through generalized …

Fibonacci anyons and charge density order in the 12/5 and 13/5 quantum Hall plateaus

RSK Mong, MP Zaletel, F Pollmann, Z Papić - Physical Review B, 2017 - APS
The ν= 12/5 fractional quantum Hall plateau observed in GaAs semiconductor wells is a
suspect in the search for non-Abelian Fibonacci anyons. Using the infinite density matrix …

Fractional quantum Hall states in two-dimensional electron systems with anisotropic interactions

H Wang, R Narayanan, X Wan, F Zhang - Physical Review B—Condensed …, 2012 - APS
We study the anisotropic effect of the Coulomb interaction on a 1/3-filling fractional quantum
Hall system by using an exact diagonalization method on small systems in torus geometry …

Possible nematic to smectic phase transition in a two-dimensional electron gas at half-filling

Q Qian, J Nakamura, S Fallahi, GC Gardner… - Nature …, 2017 - nature.com
Liquid crystalline phases of matter permeate nature and technology, with examples ranging
from cell membranes to liquid-crystal displays. Remarkably, electronic liquid-crystal phases …

Two-dimensional finite quantum Hall clusters of electrons with anisotropic features

O Ciftja - Scientific Reports, 2022 - nature.com
Low-dimensional nano and two-dimensional materials are of great interest to many
disciplines and may have a lot of applications in fields such as electronics, optoelectronics …

Duality in 2+ 1D quantum elasticity: superconductivity and quantum nematic order

J Zaanen, Z Nussinov, SI Mukhin - Annals of Physics, 2004 - Elsevier
Superfluidity and superconductivity are traditionally understood in terms of an adiabatic
continuation from the Bose-gas limit. Here we demonstrate that at least in a 2+ 1D Bose …