Identifying mobility edge from finite temperature spectral form factor
Abstract
The spectral form factor (SFF) is a measure of energy correlations and has been widely used to identify the transition from the ergodic to the localized phase in interacting many-body quantum systems. In this work, we show that in a disordered Heisenberg spin- 1 2 model, the finite temperature SFF can be used to generate a canonical phase diagram exhibiting a critical temperature T MBL . Using simple ideas of statistical mechanics, we obtain the critical energy density ε MBL dual to T MBL . We show that the mobility edge, numerically estimated from the spread of local perturbations and the optical conductivity, indeed coincides with ε MBL .
Fields of Study & Subjects
Parallel Computing and Optimization Techniques
Network Traffic and Congestion Control
Complex Network Analysis Techniques
Publication details
- Journal / source
- Physical review. B./Physical review. B
- Publisher
- American Physical Society (APS)
- Volume
- 114
- Issue
- 3
- Publication date
- 12 June 2026
- Language
- EN