Phase diagrams for quantum Brownian motion on two-dimensional Bravais lattices
Name
PhysRevB.96.205440.pdf
Size
1.04 MB
Format
Adobe PDF
Checksum (MD5)
ebec78a337b61321c1ad7bf3e05df46b
Author(s)
Zhang, Grace H.
Date Issued
November 2017
Journal
Physical Review B
Publisher
American Physical Society
Citation
Zhang, Grace H. "Phase diagrams for quantum Brownian motion on two-dimensional Bravais lattices." Physical Review B 96, 20 (November 2017): 205440 © 2017 American Physical Society
Version
Final published version
Abstract
We study quantum Brownian motion (QBM) models for a particle in a dissipative environment coupled to a periodic potential. We review QBM for a particle in a one-dimensional periodic potential and extend the study to that for a particle in two-dimensional (2D) periodic potentials of four Bravais lattice types: square, rectangular, triangular (hexagonal), and centered rectangular. We perform perturbative renormalization group analyses to derive the zero temperature flow diagrams and phase boundaries for a particle in these potentials, and observe localization behavior dependent on the anisotropy of the lattice parameters.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.96.205440
