Non-Abelian anyons and topological quantum computation

C Nayak, SH Simon, A Stern, M Freedman… - Reviews of Modern …, 2008 - APS
Topological quantum computation has emerged as one of the most exciting approaches to
constructing a fault-tolerant quantum computer. The proposal relies on the existence of …

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 …

Composite-fermion pairing at half-filled and quarter-filled lowest Landau level

A Sharma, AC Balram, JK Jain - Physical Review B, 2024 - APS
The Halperin-Lee-Read Fermi sea of composite fermions at half-filled lowest Landau level is
the realization of a fascinating metallic phase that is a strongly correlated “non-Fermi liquid” …

Next-generation even-denominator fractional quantum Hall states of interacting composite fermions

C Wang, A Gupta, PT Madathil… - Proceedings of the …, 2023 - National Acad Sciences
The discovery of the fractional quantum Hall state (FQHS) in 1982 ushered a new era of
research in many-body condensed matter physics. Among the numerous FQHSs, those …

Experimental studies of the fractional quantum Hall effect in the first excited Landau level

W Pan, JS Xia, HL Stormer, DC Tsui, C Vicente… - Physical Review B …, 2008 - APS
We present a spectrum of experimental data on the fractional quantum Hall effect (FQHE)
states in the first excited Landau level, obtained in an ultrahigh mobility two-dimensional …

Moving crystal phases of a quantum Wigner solid in an ultra-high-quality 2D electron system

PT Madathil, KAV Rosales, YJ Chung, KW West… - Physical review …, 2023 - APS
In low-disorder, two-dimensional electron systems (2DESs), the fractional quantum Hall
states at very small Landau level fillings (ν) terminate in a Wigner solid (WS) phase, where …

Quantum hall system in tao-thouless limit

EJ Bergholtz, A Karlhede - Physical Review B—Condensed Matter and …, 2008 - APS
We consider spin-polarized electrons in a single Landau level on a torus. The quantum Hall
problem is mapped onto a one-dimensional lattice model with lattice constant 2 π/L 1, where …

Even-Denominator Fractional Quantum Hall State at Filling Factor

C Wang, A Gupta, SK Singh, YJ Chung, LN Pfeiffer… - Physical review …, 2022 - APS
Fractional quantum Hall states (FQHSs) exemplify exotic phases of low-disorder two-
dimensional (2D) electron systems when electron-electron interaction dominates over the …

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 …

Fractional Quantum Hall Effect at : The Parton Paradigm for the Second Landau Level

AC Balram, S Mukherjee, K Park, M Barkeshli… - Physical review …, 2018 - APS
The unexpected appearance of a fractional quantum Hall effect (FQHE) plateau at ν= 2+
6/13 [A. Kumar et al., Phys. Rev. Lett. 105, 246808 (2010) PRLTAO 0031-9007 …