Abstract
We investigate the behavior of an N-component quantum rotor coupled to a bosonic dissipative bath having a sub-Ohmic spectral density J (ω) ∝ ωs with s < 1.With increasing dissipation strength, this system undergoes a quantum phase transition from a delocalized phase to a localized phase.We determine the exact critical behavior of this transition in the large-N limit. For 1 > s > 1/2, we find nontrivial critical behavior corresponding to an interacting renormalization group fixed point, while we find mean-field behavior for s < 1/2. The results agree with those of the corresponding long-range interacting classical model. The quantum-to-classical mapping is therefore valid for the sub-Ohmic rotor model.
Recommended Citation
M. Al-Ali and T. Vojta, "Quantum Phase Transition of the Sub-Ohmic Rotor Model," Physical review B: Condensed matter and materials physics, vol. 84, no. 19, pp. 195136-1 - 195136-6, American Physical Society (APS), Nov 2011.
The definitive version is available at https://doi.org/10.1103/PhysRevB.84.195136
Department(s)
Physics
International Standard Serial Number (ISSN)
1098-0121
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2011 American Physical Society (APS), All rights reserved.
Publication Date
01 Nov 2011
