Quantum Hall physics: Hierarchies and conformal field theory techniques

TH Hansson, M Hermanns, SH Simon, SF Viefers - Reviews of Modern Physics, 2017 - APS
The fractional quantum Hall effect, being one of the most studied phenomena in condensed
matter physics during the past 30 years, has generated many ground-breaking new ideas …

Topological Order: From Long‐Range Entangled Quantum Matter to a Unified Origin of Light and Electrons

XG Wen - International Scholarly Research Notices, 2013 - Wiley Online Library
We review the progress in the last 20–30 years, during which we discovered that there are
many new phases of matter that are beyond the traditional Landau symmetry breaking …

[BOOK][B] Quantum information meets quantum matter

B Zeng, X Chen, DL Zhou, XG Wen - 2019 - Springer
After decades of development, quantum information science and technology has now come
to its golden age. It is not only widely believed that quantum information processing offers …

Non-Abelian fractionalization in topological minibands

AP Reddy, N Paul, A Abouelkomsan, L Fu - Physical Review Letters, 2024 - APS
Motivated by the recent discovery of fractional quantum anomalous Hall states in moiré
systems, we consider the possibility of realizing non-Abelian phases in topological …

Non-Hermitian skin clusters from strong interactions

R Shen, CH Lee - Communications Physics, 2022 - nature.com
Strong, non-perturbative interactions often lead to new exciting physics, as epitomized by
emergent anyons from the Fractional Quantum hall effect. Within the actively investigated …

Quantum Information Meets Quantum Matter--From Quantum Entanglement to Topological Phase in Many-Body Systems

B Zeng, X Chen, DL Zhou, XG Wen - arxiv preprint arxiv:1508.02595, 2015 - arxiv.org
This is the draft version of a textbook, which aims to introduce the quantum information
science viewpoints on condensed matter physics to graduate students in physics (or …

Emergent many-body translational symmetries of Abelian and non-Abelian fractionally filled topological insulators

BA Bernevig, N Regnault - Physical Review B—Condensed Matter and …, 2012 - APS
The energy and entanglement spectrum of fractionally filled interacting topological insulators
exhibit a peculiar manifold of low-energy states separated by a gap from a high-energy set …

Non-Abelian Fractional Chern Insulators and Competing States in Flat Moir\'e Bands

H Liu, Z Liu, EJ Bergholtz - arxiv preprint arxiv:2405.08887, 2024 - arxiv.org
Breakthrough experiments have recently realized fractional Chern insulators (FCIs) in
moir\'e materials. However, all states observed are Abelian, the possible existence of more …

Fibonacci anyons from abelian bilayer quantum hall states

A Vaezi, M Barkeshli - Physical review letters, 2014 - APS
The possibility of realizing non-Abelian statistics and utilizing it for topological quantum
computation (TQC) has generated widespread interest. However, the non-Abelian statistics …

Stabilizing multiple topological fermions on a quantum computer

JM Koh, T Tai, YH Phee, WE Ng, CH Lee - npj Quantum Information, 2022 - nature.com
In classical and single-particle settings, non-trivial band topology always gives rise to robust
boundary modes. For quantum many-body systems, however, multiple topological fermions …