Dimensional crossover in bose-hubbard model.
We used quantum Monte Carlo simulation to investigate the dimensional crossover in the Bose-Hubbard model when the inter layer coupling Jp was reduced from 1 to 0. In particular, the evolution of the superfluid transition was studied. We found that the critical temperature of phase transition dec...
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sg-ntu-dr.10356-445462023-02-28T23:13:18Z Dimensional crossover in bose-hubbard model. Zhang, Zhifeng. School of Physical and Mathematical Sciences Pinaki Sengupta DRNTU::Science::Physics We used quantum Monte Carlo simulation to investigate the dimensional crossover in the Bose-Hubbard model when the inter layer coupling Jp was reduced from 1 to 0. In particular, the evolution of the superfluid transition was studied. We found that the critical temperature of phase transition decreases monotonically with Jp and the system started to have a 2-D behavior when Jp < 0.04. The critical temperature eventually converged to the critical temperature (Tc = 0.79(1)) of the 2-D Berezinsky-Kosterlitz- Thouless transition. The dimensional crossover was observed. Bachelor of Science in Physics 2011-06-02T04:19:12Z 2011-06-02T04:19:12Z 2011 2011 Final Year Project (FYP) http://hdl.handle.net/10356/44546 en 73 p. application/pdf |
| institution |
Nanyang Technological University |
| building |
NTU Library |
| continent |
Asia |
| country |
Singapore Singapore |
| content_provider |
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| collection |
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| language |
English |
| topic |
DRNTU::Science::Physics |
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DRNTU::Science::Physics Zhang, Zhifeng. Dimensional crossover in bose-hubbard model. |
| description |
We used quantum Monte Carlo simulation to investigate the dimensional crossover
in the Bose-Hubbard model when the inter layer coupling Jp was reduced from 1 to 0.
In particular, the evolution of the superfluid transition was studied. We found that the
critical temperature of phase transition decreases monotonically with Jp and the system
started to have a 2-D behavior when Jp < 0.04. The critical temperature eventually
converged to the critical temperature (Tc = 0.79(1)) of the 2-D Berezinsky-Kosterlitz-
Thouless transition. The dimensional crossover was observed. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Zhang, Zhifeng. |
| format |
Final Year Project |
| author |
Zhang, Zhifeng. |
| author_sort |
Zhang, Zhifeng. |
| title |
Dimensional crossover in bose-hubbard model. |
| title_short |
Dimensional crossover in bose-hubbard model. |
| title_full |
Dimensional crossover in bose-hubbard model. |
| title_fullStr |
Dimensional crossover in bose-hubbard model. |
| title_full_unstemmed |
Dimensional crossover in bose-hubbard model. |
| title_sort |
dimensional crossover in bose-hubbard model. |
| publishDate |
2011 |
| url |
http://hdl.handle.net/10356/44546 |
| _version_ |
1759854495621185536 |