期刊
PHYSICAL REVIEW A
卷 85, 期 3, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.85.031602
关键词
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资金
- Marie Curie International Reintegration [PIRG07-GA-2010-26817]
- EPSRC [EP/I004637/1]
- COE The Next Generation of Physics, Spun from Universality and Emergence from MEXT of Japan
- [PTDC/FIS/111348/2009]
- EPSRC [EP/I004637/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/I004637/1] Funding Source: researchfish
- Fundação para a Ciência e a Tecnologia [PTDC/FIS/111348/2009] Funding Source: FCT
It is now possible to study experimentally the combined effect of disorder and interactions in cold atom physics. Motivated by these developments we investigate the dynamics around the metal-insulator transition (MIT) in a one-dimensional Fermi gas with short-range interactions in a quasiperiodic potential by the time-dependent density-matrix renormalization group technique. By tuning disorder and interactions we study the MIT from the weakly to the strongly interacting limit. The MIT is not universal as time evolution, well described by a process of anomalous diffusion, depends qualitatively on the interaction strength. By using scaling ideas we relate the parameter that controls the diffusion process with the critical exponent that describes the divergence of the localization length. In the limit of strong interactions theoretical arguments suggest that the motion at the MIT tends to ballistic and critical exponents approach mean-field predictions.
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