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Keywords = Fermi condensation flows

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14 pages, 299 KB  
Article
Fermi Condensation Flows Induced by Ricci Flows in the String σ Model
by Jun Yan
Mod. Math. Phys. 2025, 1(2), 7; https://doi.org/10.3390/mmphys1020007 - 15 Aug 2025
Viewed by 1207
Abstract
The Fermi condensation flows in the sine-Gordon–Thirring model with two impurities coupling are investigated in this paper; these matter flows can be induced by the Ricci flow perturbation in the two-dimensional string σ model. The Ricci flow perturbation equations are derived according to [...] Read more.
The Fermi condensation flows in the sine-Gordon–Thirring model with two impurities coupling are investigated in this paper; these matter flows can be induced by the Ricci flow perturbation in the two-dimensional string σ model. The Ricci flow perturbation equations are derived according to the Gauss–Codazzi equations, and the two-loop asymptotic perturbation solution of the cigar soliton is reduced by using a small parameter expansion method. Moreover, the thermodynamic quantities on the cigar soliton background are obtained by using the variational functional integrals method. Subsequently, the Fermi condensation flows varying with the momentum scale λ are analyzed and discussed. We find that the energy density, the correlation function, and the condensation fluctuations will decrease, but the entropy will increase monotonically. The Fermi condensed matter can maintain thermodynamic stability under the Ricci flow perturbation. Full article
31 pages, 2472 KB  
Article
Large-S and Tensor-Network Methods for Strongly-Interacting Topological Insulators
by Emanuele Tirrito, Simon Hands and Alejandro Bermudez
Symmetry 2022, 14(4), 799; https://doi.org/10.3390/sym14040799 - 12 Apr 2022
Cited by 4 | Viewed by 3472
Abstract
The study of correlation effects in topological phases of matter can benefit from a multidisciplinary approach that combines techniques drawn from condensed matter, high-energy physics and quantum information science. In this work, we exploit these connections to study the strongly-interacting limit of certain [...] Read more.
The study of correlation effects in topological phases of matter can benefit from a multidisciplinary approach that combines techniques drawn from condensed matter, high-energy physics and quantum information science. In this work, we exploit these connections to study the strongly-interacting limit of certain lattice Hubbard models of topological insulators, which map onto four-Fermi quantum field theories with a Wilson-type discretisation and have been recently shown to be at reach of cold-atom quantum simulators based on synthetic spin-orbit coupling. We combine large-S and tensor-network techniques to explore the possible spontaneous symmetry-breaking phases that appear when the interactions of the topological insulators are sufficiently large. In particular, we show that varying the Wilson parameter r of the lattice discretisations leads to a novel Heisenberg–Ising compass model with critical lines that flow with the value of r. Full article
(This article belongs to the Special Issue New Applications of Symmetry in Lattice Field Theory)
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