Rotating Fulde-Ferrell-Larkin-Ovchinnikov state in cold Fermi gases

Yoshida, Tomohiro; Yanase, Youichi

doi:10.1103/physreva.84.063605

Cited by 12 publications

(25 citation statements)

References 54 publications

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“…The pair potential of the half vortex state proposed in Ref. [17] has the form ∆ ∝ cos(mπx/L) × exp(iπnx/L), with half integers m, n. We show that this competing state between the LO and FF states are not the half vortex state but the FFLO state. We plot typical profiles of a FF state, LO states, and a FFLO state in Figs.…”

Section: (14)mentioning

confidence: 65%

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Fulde-Ferrell-Larkin-Ovchinnikov states in a superconducting ring with magnetic fields: Phase diagram and the first-order phase transitions

Yoshii¹,

Takada²,

Tsuchiya³

et al. 2015

Phys. Rev. B

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We find the angular Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) states (or the twisted kink crystals) in which a phase and an amplitude of a pair potential modulate simultaneously in a quasi-onedimensional superconducting ring with a static Zeeman magnetic field applied on the ring and static Aharonov-Bohm magnetic flux penetrating the ring. The superconducting ring with magnetic flux produces a persistent current, whereas the Zeeman split of Fermi energy results in the spatial modulation of the pair potential. We show that these two magnetic fields stabilize the FFLO phase in a large parameter region of the magnetic fields. We further draw the phase diagram with the two kinds of first-order phase transitions; one corresponds to phase slips separating the Aharonov-Bohm magnetic flux, and the other separates the number of peaks of the pair amplitude for the Zeeman magnetic field.

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Section: (14)mentioning

confidence: 65%

“…The existence of an additional phase called the half vortex phase was mentioned in Ref. [17]. The pair potential of the half vortex state proposed in Ref.…”

Section: (14)mentioning

confidence: 97%

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Fulde-Ferrell-Larkin-Ovchinnikov states in a superconducting ring with magnetic fields: Phase diagram and the first-order phase transitions

Yoshii¹,

Takada²,

Tsuchiya³

et al. 2015

Phys. Rev. B

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“…of the various solutions and seek the state with the smallest free energy. It is shown by numerical calculations that the magnetic flux stabilizes the phase modulating solution (FF state), while the magnetic field on the ring results in the condensate with the amplitude modulation (LO state) [91,92]. This result can be understood as follows.…”

Section: Inhomogeneous Solutions On a Ringmentioning

confidence: 95%

Nambu-Jona Lasinio and Nonlinear Sigma Models in Condensed Matter Systems

Yoshii

Nitta

2019

Symmetry

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We review various connections between condensed matter systems with the Nambu-Jona Lasinio model and nonlinear sigma models. The field theoretical description of interacting systems offers a systematic framework to describe the dynamical generation of condensates. Resent findings of a duality between the Nambu-Jona Lasinio model and the nonlinear sigma model enables us to investigate various properties underlying both theories. In this review we mainly focus on inhomogeneous condensations in static situations. The various methods developed in the Nambu-Jona Lasinio model reveal the inhomogeneous phase structures and also yield new inhomogeneous solutions in the nonlinear sigma model owing to the duality. The recent progress on interacting systems in finite systems is also reviewed.PACS numbers:

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“…In the case of the harmonic trap, the additional SOP oscillations along the radial direction have been reported [37,[58][59][60]. However, for the toroidal trap, the oscillations of the SOP can be function of angle, due to rotational symmetry of the system [61][62][63]. The combination of these two types of oscillations can be expected [64] as well.…”

Section: Spin-imbalanced Systemsmentioning

confidence: 99%

Superfluidity of fermionic pairs in a harmonic trap. Comparative studies: Local Density Approximation and Bogoliubov-de Gennes solutions

Cichy¹,

Ptok²

2020

J. Phys. Commun.

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Experiments with ultracold gases on the lattice give the opportunity to realize superfluid fermionic mixtures in a trapping potential. The external trap modifies the chemical potential locally. Moreover, this trap also introduces non-homogeneity in the superconducting order parameter. There are, among other approaches, two methods which can be used to describe the system of two-component mixtures loaded into an optical lattice: the Local Density Approximation (LDA) and the self-consistent Bogoliubov-de Gennes equations. Here, we compare results obtained within these two methods. We conclude that the results can be distinguishable only in the case of a small value of the pairing interaction.Recent progress in experimental techniques in ultracold quantum gases gives ground to believe that they are good candidates for realization of quantum simulators [1][2][3][4][5]. This progress gives the opportunity to study different types of quantum models, well established already in many-body physics [5][6][7].Parameters such as the depth of the periodic trapping potential or the lattice geometry can be tuned with a high level of control in experiments. Moreover, the interaction strengths can also be fully controlled via so-called Feshbach resonances [8], giving the possibility of realization of repulsively and attractively interacting systems [9]. The latter allows for an experimental study of superfluid states [10][11][12].Typically, a system of ultracold atoms is located in an external potential, for instance in a harmonic trap. This potential introduces some effective site-dependent chemical potential and non-homogeneous distribution of the particles in the system. As a consequence, non-uniform superconducting order parameter is expected. The system can be studied theoretically via several methods. In this paper, we compare the results obtained within the Local Density Approximation (LDA) and the self-consistent Bogoliubov-de Gennes (BdG) equations, for a system of an ultracold attractive fermionic gas loaded into a one-dimensional (1D) optical lattice, put in a harmonic trap.The paper is organized as follows: first, we shortly introduce the model as well as the above mentioned methods (section 2). In section 3, we present and discuss numerical results. Finally, we summarize in section 4. Model and techniquesWe investigate a fermionic gas loaded onto a one-dimensional lattice, in a harmonic trap, which is schematically illustrated in figure 1. The system under consideration can be described by the Hamiltonian

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Rotating Fulde-Ferrell-Larkin-Ovchinnikov state in cold Fermi gases

Cited by 12 publications

References 54 publications

Fulde-Ferrell-Larkin-Ovchinnikov states in a superconducting ring with magnetic fields: Phase diagram and the first-order phase transitions

Fulde-Ferrell-Larkin-Ovchinnikov states in a superconducting ring with magnetic fields: Phase diagram and the first-order phase transitions

Nambu-Jona Lasinio and Nonlinear Sigma Models in Condensed Matter Systems

Superfluidity of fermionic pairs in a harmonic trap. Comparative studies: Local Density Approximation and Bogoliubov-de Gennes solutions

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