# Quantum Hall physics : Hierarchies and conformal field theory techniques

@article{Hansson2017QuantumHP, title={Quantum Hall physics : Hierarchies and conformal field theory techniques}, author={Tony Hansson and M. Hermanns and Steven H. Simon and Susanne Viefers}, journal={Reviews of Modern Physics}, year={2017}, volume={89}, pages={025005} }

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 and concepts. Very ear ...

## 89 Citations

From coupled-wire construction of quantum Hall states to wave functions and hydrodynamics

- PhysicsPhysical Review B
- 2019

In this paper we use a close connection between the coupled-wire construction (CWC) of Abelian quantum Hall states and the theory of composite bosons to extract the Laughlin wave function and the h…

Quantum impurity models from conformal field theory

- PhysicsJournal of High Energy Physics
- 2019

Abstract
The coupling between localized magnetic moments and itinerant electrons presents a plethora of interesting physics. The low-energy physics of some quantum impurity systems can be…

Effective edge state dynamics in the fractional quantum Hall effect

- PhysicsPhysical Review B
- 2018

We consider the behavior of quantum Hall edges away from the Luttinger liquid fixed point that occurs in the low-energy, large-system limit. Using the close links between quantum Hall wave functions…

Conformal field theory construction for non-Abelian hierarchy wave functions

- Physics
- 2017

The fractional quantum Hall effect is the paradigmatic example of topologically ordered phases. One of its most fascinating aspects is the large variety of different topological orders that may be…

Elementary excitations in fractional quantum Hall effect from classical constraints

- Physics
- 2019

Classical constraints on the reduced density matrix of quantum fluids in a single Landau level termed as local exclusion conditions (LECs) (Yang 2019 Phys. Rev. B 100 241302), have recently been…

From topological superconductivity to quantum Hall states in coupled wires

- Physics
- 2020

We present a theoretical study of the interplay between topological p-wave superconductivity, orbital magnetic fields and quantum Hall phases in coupled wire systems. First, we calculate the phase…

Meta-conformal algebras in $d$ spatial dimensions

- Mathematics, Physics
- 2017

Meta-conformal transformations are constructed as dynamical symmetries of the linear transport equation in $d$ spatial dimensions. In one and two dimensions, the associated Lie algebras are…

Floquet engineering flat bands for bosonic fractional quantum Hall with superconducting circuits

- PhysicsPhysical Review B
- 2021

The quest to realize novel phases of matter with topological order is an important pursuit with implications for strongly correlated physics and quantum information. Utilizing ideas from…

Quantum Hall hierarchy from coupled wires

- PhysicsPhysical Review B
- 2019

The coupled-wire construction provides a useful way to obtain microscopic Hamiltonians for various two-dimensional topological phases, among which fractional quantum Hall states are paradigmatic…

Effective Abelian theory from a non-Abelian topological order in the
ν=2/5
fractional quantum Hall effect

- Physics
- 2019

Topological phases of matter are distinguished by topological invariants, such as Chern numbers and topological spins, that quantize their response to electromagnetic currents and changes of ambient…

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