Superconductivity under a ferromagnetic molecular field

Machida, Kazushige; Nakanishi, Hiizu

doi:10.1103/physrevb.30.122

Cited by 197 publications

(283 citation statements)

References 34 publications

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“…It also has played some role as a testing ground for fermion algorithms on the lattice [3]. Perhaps even more surprising and less widely appreciated is the fact that GN type models have enjoyed considerable success in describing a variety of quasi-onedimensional condensed matter systems, ranging from the Peierls-Fröhlich model [4] over ferromagnetic superconductors [5] to conducting polymers, e.g. doped trans-polyacetylene [6].…”

Section: Introductionmentioning

confidence: 99%

Full phase diagram of the massive Gross–Neveu model

2006

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The massive Gross-Neveu model is solved in the large N limit at finite temperature and chemical potential. The scalar potential is given in terms of Jacobi elliptic functions. It contains three parameters which are determined by transcendental equations. Self-consistency of the scalar potential is proved. The phase diagram for non-zero bare quark mass is found to contain a kink-antikink crystal phase as well as a massive fermion gas phase featuring a cross-over from light to heavy effective fermion mass. For zero bare quark mass we recover the three known phases kink-antikink crystal, massless fermion gas, and massive fermion gas. All phase transitions are shown to be of second order. Equations for the phase boundaries are given and solved numerically. Implications on condensed matter physics are indicated where our results generalize the bipolaron lattice in non-degenerate conducting polymers to finite temperature.

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Section: Introductionmentioning

confidence: 99%

Full phase diagram of the massive Gross–Neveu model

2006

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“…Such pairing states are now collectively known as the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state. This novel inhomogeneous superconducting state has attracted broad theoretical interest [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] due to the experiments suggestive of its existence in various superconductors such as heavy-fermion, [19][20][21] organic and other superconductors, 22,23 and its possible realization in cold atom systems, 24,25 high-density quark matter, and nuclear matter. 26 Though it is long believed that the FFLO state can only exist in unconventional superconductors, experimental indication of disordered FFLO phase was reported in a conventional superconductor recently.…”

mentioning

confidence: 99%

Spectroscopic signatures of the Larkin-Ovchinnikov state in the conductance characteristics of a normal-metal/superconductor junction

Cui

Wei

et al. 2012

Phys. Rev. B

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Using a discrete-lattice approach, we calculate the conductance spectra between a normal-metal and an s-wave Larkin-Ovchinnikov (LO) superconductor, with the junction interface oriented along the direction of the order parameter (OP) modulation. The OP sign reversal across one single nodal line can induce a sizable number of zero-energy Andreev bound states around the nodal line, and a hybridized midgap-states band is formed amid a momentum-dependent gap as a result of the periodic array of nodal lines in the LO state. This band-in-gap structure and its anisotropic properties give rise to distinctive features in both the point-contact and tunneling spectra as compared with the BCS and Fulde-Ferrell cases. These spectroscopic features can serve as distinguishing signatures of the LO state.

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“…Thus, the calculation above shows that FFLO type of correlations are so strong in quasi-1D systems with attractive interactions, that differently from d = 2 [40] and d = 3 [41], in 1D the FFLO phase persists even in the presence of an arbitrarily large magnetic field [39]. However, we show below that including induced interactions substantially modifies this scenario and there is a finite h f beyond which FFLO correlations disappear.…”

Section: Ginzburg-landau Theory and The Fflo Phasementioning

confidence: 75%

Nesting and lifetime effects in the FFLO state of quasi-one-dimensional imbalanced Fermi gases

Caldas¹,

Continentino²

2013

J. Phys. B: At. Mol. Opt. Phys.

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Abstract.Motivated by the recent experimental realization of a candidate to the Fulde-Ferrell (FF) and the Larkin-Ovchinnikov (LO) states in one dimensional (1D) atomic Fermi gases, we study the quantum phase transitions in these enigmatic, finite momentumpaired superfluids. We focus on the FF state and investigate the effects of the induced interaction on the stability of the FFLO phase in homogeneous spin-imbalanced quasi-1D Fermi gases at zero temperature. When this is taken into account we find a direct transition from the fully polarized to the FFLO state in agreement with exact solutions. Also, we consider the effect of a finite lifetime of the quasi-particles states in the normalsuperfluid instability. In the limit of long lifetimes, the lifetime effect is irrelevant and the transition is directly from the fully polarized to the FFLO state. We show, however, that for sufficiently short lifetimes there is a quantum critical point (QCP), at a finite value of the mismatch of the Fermi wave-vectors of the different quasi-particles, that we fully characterize. In this case the transition is from the FFLO phase to a normal partially polarized state with increasing mismatch. Nesting and Lifetime Effects

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Superconductivity under a ferromagnetic molecular field

Cited by 197 publications

References 34 publications

Full phase diagram of the massive Gross–Neveu model

Full phase diagram of the massive Gross–Neveu model

Spectroscopic signatures of the Larkin-Ovchinnikov state in the conductance characteristics of a normal-metal/superconductor junction

Nesting and lifetime effects in the FFLO state of quasi-one-dimensional imbalanced Fermi gases

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