Theory of smeared quantum phase transitions

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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4 pages, 1 eps figure embedded; (v2) contains the full joint field and moment distribution + we fixed a few typos; (v3) publis

Scientific paper

10.1103/PhysRevLett.100.240601

We present an analytical strong-disorder renormalization group theory of the quantum phase transition in the dissipative random transverse-field Ising chain. For Ohmic dissipation, we solve the renormalization flow equations analytically, yielding asymptotically exact results for the low-temperature properties of the system. We find that the interplay between quantum fluctuations and Ohmic dissipation destroys the quantum critical point by smearing. We also determine the phase diagram and the behavior of observables in the vicinity of the smeared quantum phase transition.

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