Disorder-induced rounding of certain quantum phase transitions

Details Disorder-induced rounding of certain quantum phase transitions Disorder-induced rounding of certain quantum phase transitions

2002-12-12

arxiv.org/abs/cond-mat/0212305v1

Phys. Rev. Lett. 90, 107202 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 eps figures

Scientific paper

10.1103/PhysRevLett.90.107202

We study the influence of quenched disorder on quantum phase transitions in systems with over-damped dynamics. For Ising order parameter symmetry disorder destroys the sharp phase transition by rounding because a static order parameter can develop on rare spatial regions. This leads to an exponential dependence of the order parameter on the coupling constant. At finite temperatures the static order on the rare regions is destroyed. This restores the phase transition and leads to a double-exponential relation between critical temperature and coupling strength. We discuss the behavior based on Lifshitz-tail arguments and illustrate the results by simulations of a model system.

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