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Strong Randomness Fixed Point in the Dissipative Random Transverse Field Ising Model

Gregory Schehr·Heiko Rieger
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Abstract

The interplay between disorder, quantum fluctuations and dissipation is studied in the random transverse Ising chain coupled to a dissipative Ohmic bath with a real space renormalization group. A typically very large length scale, L*, is identified above which the physics of frozen clusters dominates. Below L* a strong disorder fixed point determines scaling at a pseudo-critical point. In a Griffiths-McCoy region frozen clusters produce already a finite magnetization resulting in a classical low temperature behavior of the susceptibility and specific heat. These override the confluent singularities that are characterized by a continuously varying exponent z and are visible above a temperature T* ~ L*^{-z}.

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Gregory Schehr, Heiko Rieger. 2006-04-20. Strong Randomness Fixed Point in the Dissipative Random Transverse Field Ising Model. https://doi.org/10.1103/physrevlett.96.227201

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