Abstract
We investigate the influence of sub-Ohmic dissipation on randomly diluted quantum Ising and rotor models. The dissipation causes the quantum dynamics of sufficiently large percolation clusters to freeze completely. As a result, the zero-temperature quantum phase transition across the lattice percolation threshold separates an unusual super-paramagnetic cluster phase from an inhomogeneous ferromagnetic phase. We determine the low-temperature thermodynamic behavior in both phases, which is dominated by large frozen and slowly fluctuating percolation clusters. We relate our results to the smeared transition scenario for disordered quantum phase transitions, and we compare the cases of sub-Ohmic, Ohmic, and super-Ohmic dissipation.
Recommended Citation
M. Al-Ali et al., "Percolation Transition in Quantum Ising and Rotor Models with Sub-Ohmic Dissipation," Physical review B: Condensed matter and materials physics, vol. 86, no. 7, pp. 075119-1 - 075119-8, American Physical Society (APS), Aug 2012.
The definitive version is available at https://doi.org/10.1103/PhysRevB.86.075119
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
© 2012 American Physical Society (APS), All rights reserved.
Publication Date
01 Aug 2012
