• Open Access

Phase Diagram of 1+1D Abelian-Higgs Model and Its Critical Point

Titas Chanda, Maciej Lewenstein, Jakub Zakrzewski, and Luca Tagliacozzo
Phys. Rev. Lett. 128, 090601 – Published 28 February 2022
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Abstract

We determine the phase diagram of the Abelian-Higgs model in one spatial dimension and time (1+1D) on a lattice. We identify a line of first order phase transitions separating the Higgs region from the confined one. This line terminates in a quantum critical point above which the two regions are connected by a smooth crossover. We analyze the critical point and find compelling evidence for its description as the product of two noninteracting systems: a massless free fermion and a massless free boson. However, we find also some surprising results that cannot be explained by our simple picture, suggesting this newly discovered critical point is an unusual one.

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  • Received 6 August 2021
  • Accepted 8 February 2022

DOI:https://doi.org/10.1103/PhysRevLett.128.090601

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsStatistical Physics & ThermodynamicsParticles & FieldsAtomic, Molecular & Optical

Authors & Affiliations

Titas Chanda1,2,*, Maciej Lewenstein3,4, Jakub Zakrzewski2,5, and Luca Tagliacozzo6,7

  • 1The Abdus Salam International Centre for Theoretical Physics (ICTP), Strada Costiera 11, 34151 Trieste, Italy
  • 2Instytut Fizyki Teoretycznej, Uniwersytet Jagielloński, Łojasiewicza 11, 30-348 Kraków, Poland
  • 3ICFO-Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology, Avenue Carl Friedrich Gauss 3, 08860 Barcelona, Spain
  • 4ICREA, Passeig Lluis Companys 23, 08010 Barcelona, Spain
  • 5Mark Kac Complex Systems Research Center, Jagiellonian University in Krakow, Łojasiewicza 11, 30-348 Kraków, Poland
  • 6Instituto de Física Fundamental IFF-CSIC, Calle Serrano 113b, Madrid 28006, Spain
  • 7Departament de Física Quàntica i Astrofísica and Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Catalonia, Spain

  • *Corresponding author. tchanda@ictp.it

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Issue

Vol. 128, Iss. 9 — 4 March 2022

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