Pairing and the spin susceptibility of the polarized unitary Fermi gas in the normal phase

Rammelmüller, Lukas; Hou, Y.; Drut, Joaquín E.; Braun, Jens

doi:10.1103/physreva.103.043330

Cited by 19 publications

(10 citation statements)

References 101 publications

(200 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…One interesting application of the complex Langevin method is to study the transition from degenerate Fermi-polaron regime to classical Boltzmann-gas regime of a unitary spinimbalanced Fermi gas which is found to be a sharp transition by a cold-atom experiment using 6 Li Fermi gases in a three-dimensional box potential [61]. Also, it is interesting to explore an inhomogeneous pairing phase [35,36] and in-medium bound states [62], which cannot be addressed by quantum Monte Carlo simulation due to the sign problem in the mass-and population-imbalanced systems. In order to discuss such phenomena, we need more elaborate estimation of systematic errors.…”

Section: Discussionmentioning

confidence: 99%

“…In the context of cold fermionic atoms, the complex Langevin method is applied to rotating bosons [32], polarized fermions [33][34][35][36], unpolarized fermions with contact repulsive interactions [37] and mass imbalanced fermions [38] to study ground state energy, thermodynamic quantities and Fulde-Ferrell-Larkin-Ovchinnikov-type pairings (see also a recent review [39]).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Complex Langevin study for polarons in an attractively interacting one-dimensional two-component Fermi gas

Doi,

Tajima,

Tsutsui

2021

Preprint

View full text Add to dashboard Cite

We investigate a polaronic excitation in a one-dimensional spin-1/2 Fermi gas with contact attractive interactions, using the complex Langevin method, which is a promising approach to evade a possible sign problem in quantum Monte Carlo simulations. We found that the complex Langevin method works correctly in a wide range of temperature, interaction strength, and population imbalance. The Fermi polaron energy extracted from the two-point imaginary Green's function is not sensitive to the temperature and the impurity concentration in the parameter region we considered. Our results show a good agreement with the solution of the thermodynamic Bethe ansatz at zero temperature.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Complex Langevin study for polarons in an attractively interacting one-dimensional two-component Fermi gas

Doi,

Tajima,

Tsutsui

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…Comparisons between different theoretical results obtained for the CC limit at unitarity can be found as, for example, in Refs. [47,62,63,71].…”

Section: Effects Of Induced Interactions Corrections To the Tricritic...mentioning

confidence: 99%

The Gor'kov and Melik-Barkhudarov correction to an imbalanced Fermi gas in the presence of impurities

Caldas,

Rufo,

Griffith

2022

Preprint

View full text Add to dashboard Cite

The effects of induced interactions are calculated in both clean and dirty situations, for balanced and imbalanced Fermi gases. We investigate the effects of nonmagnetic impurities on the induced interactions corrections to the transition temperature in the case of a balanced gas, and to the tricritical point in the case of an imbalanced Fermi gas at unitarity. We find that impurities act in detriment of the induced interactions, or particle-hole fluctuations, for the transition temperature and the tricritical point. For large impurity parameter, the particle-hole fluctuations are strongly suppressed. We have also found the Chandrasekhar-Clogston limit of an imbalanced Fermi gas at unitarity considering the effects of the induced interactions, both in the pure and impurity regimes.

show abstract

“…Refs. [7][8][9][10][11][12][13][14][15][16][17] addressed the energetic aspects of the problem, in particular the competition between the different candidate modulated ground states. The emergent consensus is that (at mean field level) a superfluid pair-density-wave (FFLO) phase is rather robustly stable, albeit in a relatively narrow region of the phase diagram.…”

Section: Introductionmentioning

confidence: 99%

Stability of the Fulde-Ferrell-Larkin-Ovchinnikov states in anisotropic systems and critical behavior at thermal $m$-axial Lifshitz points

Zdybel,

Homenda,

Chlebicki

et al. 2021

Preprint

View full text Add to dashboard Cite

We revisit the question concerning stability of nonuniform superfluid states of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) type to thermal and quantum fluctuations. Invoking the properties of the putative phase diagram of two-component Fermi mixtures, on general grounds we argue, that for isotropic, continuum systems the phase diagram hosting a long-range-ordered FFLO-type phase envisaged by the mean-field theory cannot be stable to fluctuations at any temperature T > 0 in any dimensionality d < 4. In contrast, in layered unidirectional systems the lower critical dimension for the onset of FFLO-type long-range order accompanied by a Lifshitz point at T > 0 is d = 5/2. In consequence, its occurrence is excluded in d = 2, but not in d = 3. We propose a relatively simple method, based on nonperturbative renormalization group to compute the critical exponents of the thermal m-axial Lifshitz point continuously varying m, spatial dimensionality d and the number of order parameter components N. We point out the possibility of a robust, fine-tuning free occurrence of a quantum Lifshitz point in the phase diagram of imbalanced Fermi mixtures.

show abstract

Pairing and the spin susceptibility of the polarized unitary Fermi gas in the normal phase

Cited by 19 publications

References 101 publications

Complex Langevin study for polarons in an attractively interacting one-dimensional two-component Fermi gas

Complex Langevin study for polarons in an attractively interacting one-dimensional two-component Fermi gas

The Gor'kov and Melik-Barkhudarov correction to an imbalanced Fermi gas in the presence of impurities

Stability of the Fulde-Ferrell-Larkin-Ovchinnikov states in anisotropic systems and critical behavior at thermal $m$-axial Lifshitz points

Contact Info

Product

Resources

About