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  • Letter
  • Open Access

Second-order phase transitions and divergent linear response in dynamical mean-field theory

Erik G. C. P. van Loon

  • NanoLund and Division of Mathematical Physics, Physics Department, Lund University, Box 118, S - 221 00 Lund, Lund, Sweden

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Phys. Rev. B 109, L241110 – Published 10 June, 2024

DOI: https://doi.org/10.1103/PhysRevB.109.L241110

Abstract

Second-order phase transitions appear as a divergence in one of the linear response functions. For a system of correlated electrons, the relevant divergent response can and does involve many-particle observables, most famously the double occupancy. Generally, evaluating the linear response function of many-particle observables requires a many-particle generalization of the Bethe-Salpeter equation. However, here I show that the divergence of linear response functions in dynamical mean-field theory is governed by a two-particle Bethe-Salpeter equation, even for many-particle observables. The reason for this is that the divergence at the second-order phase transition is produced by the self-consistent feedback of the dynamical mean field.

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Phys. Rev. B 109, L241110– Published 10 June, 2024
  • Received 12 January 2024
  • Revised 22 May 2024
  • Accepted 23 May 2024
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