Spins coupled to a Spin Bath: From Integrability to Chaos

Details Spins coupled to a Spin Bath: From Integrability to Chaos Spins coupled to a Spin Bath: From Integrability to Chaos

2009-02-19

arxiv.org/abs/0902.3333v2

Phys. Rev. B 81, 081301(R) (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 5 figures included, version to appear in Phys. Rev B (Rapid Comm.)

Scientific paper

10.1103/PhysRevB.81.081301

Motivated by the hyperfine interaction of electron spins with surrounding nuclei, we investigate systems of central spins coupled to a bath of noninteracting spins in the framework of random matrix theory. With increasing number of central spins a transition from Poissonian statistics to the Gaussian orthogonal ensemble occurs which can be described by a generalized Brody distribution. These observations are unaltered upon applying an external magnetic field. In the transition region, the classical counterparts of the models studied have mixed phase space.

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