Integrability and Quantum Chaos in Spin Glass Shards
arXiv:cond-mat/9807123 · doi:10.1103/PhysRevLett.81.5129
Abstract
We study spin glass clusters ("shards") in a random transverse magnetic field, and determine the regime where quantum chaos and random matrix level statistics emerge from the integrable limits of weak and strong field. Relations with quantum phase transition are also discussed.
revtex, 4 pages, 5 figures
References in corpus (8)
- Emergence of quantum chaos in finite interacting Fermi systems
- Boundary conditions at the mobility edge
- Localization and fluctuations of local spectral density on tree-like structures with large connectivity: Application to the quasiparticle line shape in quantum dots
- Breit-Wigner width and participation ratio in finite interacting Fermi systems
- Localization in Fock space: A finite size scaling hypothesis for many particle excitation statistics
- Dynamics of the Ising Spin-Glass Model in a Transverse Field
- Thouless numbers for few-particle systems with disorder and interactions
- Interaction-Driven Equilibrium and Statistical Laws in Small Systems. The Cerium Atom
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