Nontrivial saddle points for spectral form factors of flat band superconductors
Abstract
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.
Fields of Study & Subjects
Quantum Mechanics and Non-Hermitian Physics
Topological Materials and Phenomena
Superconductivity in MgB2 and Alloys
Publication details
- Journal / source
- Journal of Physics A Mathematical and Theoretical
- Volume
- 59
- Issue
- 26
- Pages
- 265001–265001
- Publication date
- 17 June 2026
- Language
- EN