Instability of Fulde-Ferrell-Larkin-Ovchinnikov states in atomic Fermi gases in three and two dimensions

Wang, Jibiao; Che, Yanming; Zhang, L.; Chen, Qijin

doi:10.1103/physrevb.97.134513

Cited by 26 publications

(23 citation statements)

References 115 publications

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“…While the FFLO mean-field solution usually exists at low T, when pairing fluctuations, which usually lead to the formation of a pseudogap, are taken into account, the mean-field FFLO states become unstable, in the absence of extrinsic symmetry breaking factors such as spatial anisotropy and lattices, as found in ref. [15]. Similar results were found by others as well.…”

Section: Further Discussionsupporting

confidence: 91%

“…While a stable FFLO state may exist in an anisotropic system [8,9] or in a lattice, [9][10][11] especially in a low dimensions, [12][13][14] however, it has been shown that the FFLO states are intrinsically unstable in clean homogeneous 3D and 2D continuum systems. [15] Instead, noncondensed pairing with the lowest pair energy at finite momenta is expected, which may lead to exotic ground states. Thus it is important to find the true solution where the unstable mean-field FFLO solutions exist.…”

Section: Introductionmentioning

confidence: 99%

“…[59][60][61] In particular, it is shown in ref. [15] that due to the inevitable pairing fluctuations (including both amplitude and phase), the FFLO states are intrinsically unstable in isotropic 3D and 2D systems, and thus exotic pairing state may emerge.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The Gor'kov and Melik‐Barkhudarov Correction to the Mean‐Field Critical Field Transition to Fulde–Ferrell–Larkin–Ovchinnikov States

Caldas

Chen

2020

Annalen der Physik

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The Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) states, characterized by Cooper pairs condensed at finite-momentum are, at the same time, exotic and elusive. It is partially due to the fact that the FFLO states allow superconductivity to survive even in strong magnetic fields at the mean-field level. The effects of induced interactions at zero temperature are calculated in both clean and dirty cases, and it is found that the critical field at which the quantum phase transition to an FFLO state occurs at the mean-field level is strongly suppressed in imbalanced Fermi gases. This strongly shrinks the phase space region where the FFLO state is unstable and more exotic ground state is to be found. In the presence of high level impurities, this shrinkage may destroy the FFLO state completely.

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Section: Further Discussionsupporting

confidence: 91%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The Gor'kov and Melik‐Barkhudarov Correction to the Mean‐Field Critical Field Transition to Fulde–Ferrell–Larkin–Ovchinnikov States

Caldas

Chen

2020

Annalen der Physik

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“…Another question concerns the influence of the competing FFLO phase (characterized by nonzero ordering wavevector) on the excitation spectra. Even though theoretical results [61][62][63][64][65] suggest that, in case of the neutral Fermi superfluids, these pair density wave states are unstable at T > 0, they are presumably still present as ground states. We finally note the interesting question concerning the impact of imbalance on damping of the amplitude mode, whose existence was recently experimentally established.…”

Section: Discussionmentioning

confidence: 98%

Damping of the Anderson-Bogolyubov mode in Fermi mixtures by spin and mass imbalance

Zdybel

Jakubczyk

2019

Phys. Rev. A

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We study the temporally nonlocal contributions to the gradient expansion of the pair fluctuation propagator for spin-and mass-imbalanced Fermi mixtures. These terms are related to damping processes of sound-like (Anderson-Bogolyubov) collective modes and are relevant for the structure of the complex pole of the pair fluctuation propagator. We derive conditions under which damping occurs even at zero temperature for large enough mismatch of the Fermi surfaces. We compare our analytical results with numerically computed damping rates of the Anderson-Bogolyubov mode. arXiv:1908.08559v1 [cond-mat.quant-gas]

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“…We finally point out that in a beyond-mean-field picture, the FFLO-type phases are suspected [64][65][66] to be marginally unstable to fluctuation effects in dimensionality d = 3 at T > 0 (but not at T = 0). This would imply that, at least for infinite and homogeneous systems, the quantum Lifshitz point should always occur in the phase diagram if there is a phase transition between the FFLO-type and uniform superfluid phases at T = 0.…”

Section: A Gradient Expansion and The Quantum Lifshitz Pointmentioning

confidence: 88%

Quantum Lifshitz points and fluctuation-induced first-order phase transitions in imbalanced Fermi mixtures

Zdybel

Jakubczyk

2020

Phys. Rev. Research

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We perform a detailed analysis of the phase transition between the uniform superfluid and normal phases in spin-and mass-imbalanced Fermi mixtures. At mean-field level we demonstrate that at temperature T → 0 the gradient term in the effective action can be tuned to zero for experimentally relevant sets of parameters, thus providing an avenue to realize a quantum Lifshitz point. We subsequently analyze damping processes affecting the order-parameter field across the phase transition. We show that in the low-energy limit, Landau damping occurs only in the symmetry-broken phase and affects exclusively the longitudinal component of the order-parameter field. It is however unavoidably present in the immediate vicinity of the phase transition at temperature T = 0. We subsequently perform a renormalization group analysis of the system in a situation, where, at mean-field level, the quantum phase transition is second order (and not multicritical). We find that, at T sufficiently low, including the Landau-damping term in a form derived from the microscopic action destabilizes the renormalization group flow toward the Wilson-Fisher fixed point. This signals a possible tendency to drive the transition weakly first order by the coupling between the order-parameter fluctuations and fermionic excitations effectively captured by the Landau-damping contribution to the order-parameter action.

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Instability of Fulde-Ferrell-Larkin-Ovchinnikov states in atomic Fermi gases in three and two dimensions

Cited by 26 publications

References 115 publications

The Gor'kov and Melik‐Barkhudarov Correction to the Mean‐Field Critical Field Transition to Fulde–Ferrell–Larkin–Ovchinnikov States

The Gor'kov and Melik‐Barkhudarov Correction to the Mean‐Field Critical Field Transition to Fulde–Ferrell–Larkin–Ovchinnikov States

Damping of the Anderson-Bogolyubov mode in Fermi mixtures by spin and mass imbalance

Quantum Lifshitz points and fluctuation-induced first-order phase transitions in imbalanced Fermi mixtures

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