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

0562179 - FZÚ 2023 RIV US eng J - Článek v odborném periodiku
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
Institucionální podpora: RVO:68378271
Klíčová slova: dualities in field theory * fractional quantum Hall effect * topological phases of matter
Obor OECD: Condensed matter physics (including formerly solid state physics, supercond.)
Impakt faktor: 3.7, rok: 2022
Způsob publikování: Omezený přístup
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.
Trvalý link: https://hdl.handle.net/11104/0334591