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Phys. Rev. Lett. 100, 240601 (2008) [4 pages]

Theory of Smeared Quantum Phase Transitions

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José A. Hoyos1,2 and Thomas Vojta2
1Department of Physics, Duke University, Durham, North Carolina 27708, USA
2Department of Physics, Missouri University of Science and Technology, Rolla, Missouri 65409, USA

Received 4 March 2008; published 17 June 2008

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.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.240601
DOI:
10.1103/PhysRevLett.100.240601
PACS:
05.10.Cc, 05.70.Fh, 75.10.−b