Exact results for quantum phase transitions in random XY spin chains

Details Exact results for quantum phase transitions in random XY spin chains Exact results for quantum phase transitions in random XY spin chains

1996-09-20

arxiv.org/abs/cond-mat/9609195v1

Phys. Rev. Lett. 77, 4804 (1996)

Physics

Condensed Matter

5 pages, RevTeX + epsf, 2 figures.

Scientific paper

10.1103/PhysRevLett.77.4804

The effect of disorder on the quantum phase transitions induced by a transverse field, anisotropy, and dimerization in XY spin chains is investigated. The low-energy behavior near the critical point is described by a Dirac-type equation with a random mass for which an exact analytic treatment is possible. Results obtained for the dynamical critical exponent, the specific heat, and transverse susceptibility agree with results recently obtained using a real space renormalization group decimation technique, supporting Fisher's claim that it is exact. A non-zero transverse field changes the universality class of the anisotropy transition.

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