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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F22%3A00562179" target="_blank" >RIV/68378271:_____/22:00562179 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1103/PhysRevB.106.075122" target="_blank" >https://doi.org/10.1103/PhysRevB.106.075122</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevB.106.075122" target="_blank" >10.1103/PhysRevB.106.075122</a>

Result language
angličtina
Original language name
Quantum wires, Chern-Simons theory, and dualities in the quantum Hall system
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10302 - Condensed matter physics (including formerly solid state physics, supercond.)

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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