• Letter

Emergence of gaussianity in the thermodynamic limit of interacting fermions

Gabriel Matos, Andrew Hallam, Aydin Deger, Zlatko Papić, and Jiannis K. Pachos
Phys. Rev. B 104, L180408 – Published 19 November 2021
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Abstract

Systems of interacting fermions can give rise to ground states whose correlations become effectively free-fermion-like in the thermodynamic limit, as shown by Baxter for a class of integrable models that include the one-dimensional XYZ spin-12 chain. Here, we quantitatively analyze this behavior by establishing the relation between system size and correlation length required for the fermionic gaussianity to emerge. Importantly, we demonstrate that this behavior can be observed through the applicability of Wick's theorem, and thus, it is experimentally accessible. To establish the relevance of our results to possible experimental realizations of XYZ-related models, we demonstrate that the emergent gaussianity is insensitive to weak variations in the range of interactions, coupling inhomogeneities, and local random potentials.

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  • Received 20 July 2021
  • Accepted 25 October 2021

DOI:https://doi.org/10.1103/PhysRevB.104.L180408

©2021 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsStatistical Physics & Thermodynamics

Authors & Affiliations

Gabriel Matos, Andrew Hallam, Aydin Deger, Zlatko Papić, and Jiannis K. Pachos

  • School of Physics and Astronomy, University of Leeds, Leeds LS2 9JT, United Kingdom

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Issue

Vol. 104, Iss. 18 — 1 November 2021

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