Abstract

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.

Department(s)

Physics

Sponsor(s)

National Science Foundation (U.S.)
Research Corporation
University of Missouri Research Board

Keywords and Phrases

Energy dissipation; Ising model; Phase transformations (Statistical physics)

International Standard Serial Number (ISSN)

0031-9007

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2008 American Physical Society (APS), All rights reserved.

Included in

Physics Commons

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