Work

Nontrivial saddle points for spectral form factors of flat band superconductors

Year: 2026

Type: article

Abstract: We derive the spectral form factor of a flat band superconductor in two different ways. In the first approach, we diagonalize the Hamiltonian of this system exactly and numerically sum over the exact eigenstates to find the spectral form factor. In the second approach, we use mean field theory to evaluate the same spectral form factor. We demonstrate that both methods produce the same answer. Mean field theory for spectral form factors possesses features not previously seen in the theory of superconductivity, in particular complex gap functions and non-Hermitian effective Hamiltonians. We explicitly show that these features are indeed necessary to obtain the correct spectral form factor.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8121/ae7eb4

Authors: Sankalp Gaur, Emil A Yuzbashyan, Victor Gurarie

Institution: Rutgers, The State University of New Jersey

Language: English

Topic: Quantum chaos and dynamical systems

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,325

Funder: Simons Foundation