Phase diagrams for quantum Brownian motion on two-dimensional Bravais lattices
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 latt...
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| Format: | Article |
| Language: | English |
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American Physical Society
2017
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| Online Access: | http://hdl.handle.net/1721.1/112405 |
| _version_ | 1811084476207333376 |
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| author | Zhang, Grace H. |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Zhang, Grace H. |
| author_sort | Zhang, Grace H. |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T12:51:23Z |
| format | Article |
| id | mit-1721.1/112405 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:51:23Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1124052022-10-01T11:32:54Z Phase diagrams for quantum Brownian motion on two-dimensional Bravais lattices Zhang, Grace H. Massachusetts Institute of Technology. Department of Physics Zhang, Grace H. 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. 2017-12-05T18:56:50Z 2017-12-05T18:56:50Z 2017-11 2017-10 2017-11-27T18:00:06Z Article http://purl.org/eprint/type/JournalArticle 2469-9950 2469-9969 http://hdl.handle.net/1721.1/112405 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 en http://dx.doi.org/10.1103/PhysRevB.96.205440 Physical Review B 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. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Zhang, Grace H. Phase diagrams for quantum Brownian motion on two-dimensional Bravais lattices |
| title | Phase diagrams for quantum Brownian motion on two-dimensional Bravais lattices |
| title_full | Phase diagrams for quantum Brownian motion on two-dimensional Bravais lattices |
| title_fullStr | Phase diagrams for quantum Brownian motion on two-dimensional Bravais lattices |
| title_full_unstemmed | Phase diagrams for quantum Brownian motion on two-dimensional Bravais lattices |
| title_short | Phase diagrams for quantum Brownian motion on two-dimensional Bravais lattices |
| title_sort | phase diagrams for quantum brownian motion on two dimensional bravais lattices |
| url | http://hdl.handle.net/1721.1/112405 |
| work_keys_str_mv | AT zhanggraceh phasediagramsforquantumbrownianmotionontwodimensionalbravaislattices |