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.
J. A. Hoyos and T. Vojta, "Theory of Smeared Quantum Phase Transitions," Physical Review Letters, American Physical Society (APS), Jun 2008.
The definitive version is available at https://doi.org/10.1103/PhysRevLett.100.240601
National Science Foundation (U.S.)
University of Missouri Research Board
Keywords and Phrases
Energy dissipation; Ising model; Phase transformations (Statistical physics)
International Standard Serial Number (ISSN)
Article - Journal
© 2008 American Physical Society (APS), All rights reserved.
01 Jun 2008