Kosterlitz-Thouless transition and vortex-antivortex lattice melting in two-dimensional Fermi gases with 
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- or 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>d</mml:mi></mml:math>
-wave pairing

Cao, Gaoqing; He, Lianyi; Huang, Xu-Guang

doi:10.1103/physreva.96.063618

Cited by 6 publications

(2 citation statements)

References 76 publications

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“…The melting of vortex-antivortex lattice in two-dimensional Fermi gases has been studied in ref. [25]. For a certain parameter values of the system we see similar formation of vortex-antivortex lattice in our simulation.…”

Section: Formation Of Vortex-antivortex Lattice Under Spacetime Oscil...supporting

confidence: 82%

Effects of oscillating spacetime metric background on a complex scalar field and formation of topological vortices

Dave,

Digal

2019

Preprint

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We study time evolution of complex scalar field in the symmetry broken phase in presence of oscillating spacetime metric background. In our (2+1)-dimensional simulations, we show that the spacetime oscillations excite the initial 'small' fluctuations of the field configuration. This field excitations occur for a wide range of frequencies of spacetime metric. For smaller frequencies mostly the transverse excitations(Goldstone modes) dominate, while for larger frequencies longitudinal excitations(radial modes) of the field also get generated. For a given system size, there is a lower cut-off of the frequency of spacetime oscillations below which we do not see large enhancement in the fluctuations of the field. At a particular stage of field evolution, spacetime oscillation generates a periodic variation of phase of field in the physical space. This periodic spatial variation of phase of field oscillates in some time duration about its initial configuration with the frequency of spacetime oscillation, which shows that these excitations arise due to the phenomena of parametric resonance. We find that these field excitations at later stage lead to the formation of vortex-antivortex pairs. At sufficient large time of field evolution, field configuration achieves a disorder state. For some parameters of the theory, we see the formation of vortex-antivortex lattice structure in the system. This study suggests that spacetime oscillations may play an important role in the time evolution of the superfluid phase inside neutron stars during the binary neutron star (BNS) merger.

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Section: Formation Of Vortex-antivortex Lattice Under Spacetime Oscil...supporting

confidence: 82%

Effects of oscillating spacetime metric background on a complex scalar field and formation of topological vortices

Dave,

Digal

2019

Preprint

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“…For a fixed sublattice potential in figure 4, the BKT transition temperature is very low with small absolute value of Peierls phase, and it may be a huge challenge to detect the state experimentally. To study the state of this system, we estimate the binding energy by using the following expression, 2/g 47,48], where ξ kκ is the dispersion relation of Haldane model, and ξ min denotes the lowest energy of ξ kκ . Using this expression, we find that E b tends to 0 − with small value of |θ|, which indicates that there exist loose Cooper pairs.…”

Section: At Finite Temperaturesmentioning

confidence: 99%

Spinless Fulde–Ferrell superfluid in Haldane model with nearest-neighbor interaction

Zhang¹,

Zhang²

2020

J. Phys.: Condens. Matter

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Fulde-Ferrell (FF) state is an exotic superconducting or superfluid state, characterized by Cooper pairs with a finite center-of-mass momentum, and it has been intensively investigated in spinful systems, but the spin population imbalance is usually necessary. Here we propose a model to realize and modulate the spinless FF superfluid, namely, Haldane model with nearest-neighbor interaction. The FF state appears when the space-inversion and time-reversal symmetries are broken simultaneously, and there exists the first order phase transition. A higher Berezinskii-Kosterlitz-Thouless transition temperature is obtained at larger absolute value of Peierls phase and smaller energy offset of the sublattices. Our proposal provides a feasible option for experimental researchers to detect the FF superfluid.

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Resonantly interacting p -wave Fermi superfluid in two dimensions: Tan's contact and the breathing mode

Liu

2019

Phys. Rev. A

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Kosterlitz-Thouless transition and vortex-antivortex lattice melting in two-dimensional Fermi gases with p - or d -wave pairing

Cited by 6 publications

References 76 publications

Effects of oscillating spacetime metric background on a complex scalar field and formation of topological vortices

Effects of oscillating spacetime metric background on a complex scalar field and formation of topological vortices

Spinless Fulde–Ferrell superfluid in Haldane model with nearest-neighbor interaction

Resonantly interacting p -wave Fermi superfluid in two dimensions: Tan's contact and the breathing mode

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