Phase diagrams for quantum Brownian motion on two-dimensional Bravais lattices
Author(s)Zhang, Grace H.
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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.
DepartmentMassachusetts Institute of Technology. Department of Physics
Physical Review B
American Physical Society
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
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