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Exact results for quantum phase transitions in random XY spin chains

Ross H. McKenzie
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Abstract

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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Ross H. McKenzie. 1996-09-20. Exact results for quantum phase transitions in random XY spin chains. https://doi.org/10.1103/physrevlett.77.4804

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