Form Factor of a Quantum Graph in a Weak Magnetic Field

Abstract

Using periodic orbit theory, we evaluate the form factor of a quantum graph to which a very weak magnetic field is applied. The first correction to the diagonal approximation describing the transition between the universality classes is shown to be in agreement with Pandey and Mehta's formula of parametric random matrix theory.

LaTeX, 7 pages, no figure

References in corpus (1)

• Leading off-diagonal approximation for the spectral form factor for uniformly hyperbolic systems

Cited by in corpus (6)

• Periodic-Orbit Theory of Universality in Quantum Chaos
• Semiclassical Approach to Chaotic Quantum Transport
• Shot noise from action correlations
• Semiclassical Theory for Parametric Correlation of Energy Levels
• Spectral Form Factor for Chaotic Dynamics in a Weak Magnetic Field
• Semiclassical Theory for Universality in Quantum Chaos with Symmetry Crossover