Quantum wires, Chern-Simons theory, and dualities in the quantum Hall system

0562179 - FZÚ 2023 RIV US eng J - Journal Article
Toledo, J. - Jusinskas, Renann Lipinski - Hernaski, C.A. - Gomes, P.R.S.
Quantum wires, Chern-Simons theory, and dualities in the quantum Hall system.
Physical Review B. Roč. 106, č. 7 (2022), č. článku 075122. ISSN 2469-9950. E-ISSN 2469-9969
Institutional support: RVO:68378271
Keywords : dualities in field theory * fractional quantum Hall effect * topological phases of matter
OECD category: Condensed matter physics (including formerly solid state physics, supercond.)
Impact factor: 3.7, year: 2022
Method of publishing: Limited access
https://doi.org/10.1103/PhysRevB.106.075122

Over the years, many theoretical frameworks have been developed to understand the remarkable physics of the quantum Hall system. In this work we discuss the interplay among quantum wires, Chern-Simons theory, bosonization, and particle-vortex duality, which enable a unified approach for the Laughlin states of the fractional quantum Hall system. Starting from the so-called quantum wires system, which is a semimicroscopic description in terms of (1+1)-dimensional theories, we discuss the emergence of (2+1)-dimensional low-energy effective field theories by using different maps connecting the microscopic degrees of freedom with the macroscopic ones. We show the origin of these maps by embedding the bosonized version of the original quantum wires model in a gauge-invariant theory and using particle vortex duality.
Permanent Link: https://hdl.handle.net/11104/0334591