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

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

2005-11-24

arxiv.org/abs/cond-mat/0511608v2

Phys. Rev. Lett. 96, 227201 (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages RevTeX, figures included

Scientific paper

10.1103/PhysRevLett.96.227201

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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