Self-Consistent T-Matrix Approach to an Interacting Ultracold Fermi Gas with Mass Imbalance

Hanai, Ryo; Ōhashi, Y.

doi:10.1007/s10909-013-0909-3

Cited by 6 publications

(5 citation statements)

References 20 publications

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“…Our results agree with those obtained by a similar approach in Ref. [31] (circles). The ratio T c /T F is seen to decrease monotonically for decreasing r m and to extrapolate toward zero for r m = 0.…”

Section: Numerical Results For the Homogeneous Systemsupporting

confidence: 93%

“…This approach compares rather well with Monte Carlo and experimental data for thermodynamic quantities at unitarity in the mass-balanced case [35][36][37][38][39]. In addition, when extended to the mass-imbalanced case, it does not suffer from the problem of a vanishing critical temperature on the BCS side of unitarity, which occurs in other non-self-consistent or partially self-consistent approaches [31,32].…”

Section: Introductionmentioning

confidence: 56%

“…In this Section, we consider a mass-imbalanced Fermi gas embedded in a homogeneous environment, whose The critical temperature Tc (in units of the effective Fermi temperature TF ) obtained by the selfconsistent t-matrix approach (full line) is shown vs the mass ratio rm for a homogeneous density-balanced Fermi gas at unitarity, and compared with the theoretical values from Ref. [31] (circles). The inset shows Tc in units of the Fermi temperature TF H = (6π 2 nH ) 2/3 /(2mH kB) of the heavy component.…”

Section: Numerical Results For the Homogeneous Systemmentioning

confidence: 99%

“…[28], together with a screening correction to the interaction. More recently, beyond-mean-field t-matrix approaches were employed to obtain a mass-imbalanced phase diagram with equal populations, first with partial [29,30] and later with full self-consistency [31,32]. In this context, it is important to remark that t-matrix approaches are ab initio and do not make use of phenomenological parameters.…”

Section: Introductionmentioning

confidence: 99%

“…1. (Color online)The critical temperature Tc (in units of the effective Fermi temperature TF ) obtained by the selfconsistent t-matrix approach (full line) is shown vs the mass ratio rm for a homogeneous density-balanced Fermi gas at unitarity, and compared with the theoretical values from Ref [31]. (circles).…”

mentioning

confidence: 99%

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Beyond-mean-field description of a trapped unitary Fermi gas with mass and population imbalance

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Section: Numerical Results For the Homogeneous Systemsupporting

confidence: 93%

Section: Introductionmentioning

confidence: 56%

Section: Numerical Results For the Homogeneous Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Beyond-mean-field description of a trapped unitary Fermi gas with mass and population imbalance

Pini,

Pieri,

Grimm

et al. 2020

Preprint

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Hetero-pairing and pseudogap phenomena in an ultracold Fermi gas with mass imbalance

Hanai

Ōhashi

2014

J. Phys.: Conf. Ser.

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We investigate the superfluid phase transition and single-particle excitations in the BCS (Bareen-Cooper-Schrieffer)-BEC (Bose-Einstein condensation) crossover regime of an ultracold Fermi gas with mass imbalance. In our recent paper [R. Hanai, et. al., Phys. Rev. A 88, 053621 (2013)],we showed that an extended T -matrix approximation (ETMA) can overcome the serious problem known in the ordinary (non-self-consistent) T -matrix approximation that it unphysically gives double-valued superfluid phase transition temperature T c in the presence of mass imbalance. However, at the same time, the ETMA was also found to give the vanishing T c in the weak-coupling and highly mass-imbalanced case. In this paper, we inspect the correctness of this ETMA result, using the self-consistent T -matrix approximation (SCTMA). We show that the vanishing T c is an artifact of the ETMA, coming from an internal inconsistency of this theory. The superfluid phase transition actually always occurs, irrespective of the ratio of mass imbalance. We also apply the SCTMA to the pseudogap problem in a mass-imbalanced Fermi gas. We show that pairing fluctuations induce different pseudogap phenomena between the the light component and heavy component. We also point out that a 6 Li-40 K mixture is a useful system for the realization of a hetero pairing state, as well as for the study of component-dependent pseudogap phenomena.

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Beyond-mean-field description of a trapped unitary Fermi gas with mass and population imbalance

et al. 2021

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Self-Consistent T-Matrix Approach to an Interacting Ultracold Fermi Gas with Mass Imbalance

Cited by 6 publications

References 20 publications

Beyond-mean-field description of a trapped unitary Fermi gas with mass and population imbalance

Beyond-mean-field description of a trapped unitary Fermi gas with mass and population imbalance

Hetero-pairing and pseudogap phenomena in an ultracold Fermi gas with mass imbalance

Beyond-mean-field description of a trapped unitary Fermi gas with mass and population imbalance

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