Possible Odd-Frequency Pairing in Quasi-One-Dimensional Organic Superconductors (TMTSF)<sub>2</sub><i>X</i>

Shigeta, Keisuke; Onari, Seiichiro; Tanaka, Yukio

doi:10.7566/jpsj.82.104702

Cited by 12 publications

(10 citation statements)

References 60 publications

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“…As referred to in the preceding study [6,8], the OSO state is relatively stabilized because the ESE d-wave state is unstable in a quasi-one-dimensional parameter region owing to the overlapping of the nodes of the d-wave gap function and Fermi surface. On the other hand, according to the momentum dependence of the PDW-singlet state in Fig.…”

Section: Resultsmentioning

confidence: 87%

“…5, where we choose the nesting vector Q nest as the center-of-mass momentum Q of the PDW states. We obtain the nesting vector as the momentum that maximizes the irreducible susceptibility χ 0 (q, 0), which has a peak at the nesting vector [8]. The PDW-singlet state is stabilized at the extreme one-dimensional parameter region shown in Fig5.…”

Section: Resultsmentioning

confidence: 99%

“…However, it has been clarified that in a quasi-one-dimensional Hubbard model, spin-singlet d-wave pairing becomes unstable because of the overlap of the nodal lines of the gap function and the Fermi surface. In this case, the oddfrequency spin-singlet p-wave pairing becomes dominant because the nodal lines of the gap function can avoid the Fermi surface [5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

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Theory of a pair density wave on a quasi-one-dimensional lattice in the Hubbard model

2021

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In this study, we examine the superconducting instability of a quasi-one-dimensional lattice in the Hubbard model based on the random-phase approximation (RPA) and the fluctuation exchange (FLEX) approximation. We find that a spin-singlet pair density wave (PDW-singlet) with a centerof-mass momentum of 2kF can be stabilized when the one-dimensionality becomes prominent toward the perfect nesting of the Fermi surface. The obtained pair is a mixture of even-frequency and oddfrequency singlet ones. The dominant even-frequency component does not have nodal lines on the Fermi surface. This PDW-singlet state is more favorable as compared to RPA when self-energy correction is introduced in the FLEX approximation.

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Section: Resultsmentioning

confidence: 87%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Theory of a pair density wave on a quasi-one-dimensional lattice in the Hubbard model

2021

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“…Theoretically possible realizations of the OF superconductivity in bulk systems are proposed in electron systems such as the t-J model [4], Kondo and Anderson lattices [5][6][7][8][9][10][11][12][13][14][15][16], geometrically frustrated system [17], quantum critical regime [18][19][20], quasi-one-dimensional systems [21][22][23][24], and electron-phonon coupled systems [25,26]. However, using mean-field-type theory, it has been shown that the second-order phase transition into the OF superconductivity is unstable in general [27,28].…”

Section: Introductionmentioning

confidence: 99%

Mean-field description of odd-frequency superconductivity with staggered ordering vector

Hoshino

2014

Phys. Rev. B

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A low-energy fixed-point Hamiltonian is constructed for the s-wave odd-frequency pairing state with staggered ordering vector in the two-channel Kondo lattice. The effective model is justified because it reproduces low-energy behaviors of self-energy obtained by the dynamical mean-field theory. The retardation effect is essential for the odd-frequency pairing, which comes from the hybridization process between conduction electrons and pseudofermions originating from localized spins at low energies. Using the effective Hamiltonian, the electromagnetic response functions are microscopically calculated. The present system shows a "weak" Meissner effect, where both paramagnetic and diamagnetic parts contribute to the Meissner kernel to give a small total diamagnetic response in the superconducting state. This feature is in contrast to the ordinary s-wave BCS pairing where only the diamagnetic kernel is finite in the ground state. The staggered nature of the odd-frequency order parameter plays an important role for the sign of the Meissner kernel.

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“…There still remain two possibilities, odd-frequency spin-singlet oddparity (OSO) and spin-triplet even-parity (OTE) pairs. Although there is no conclusive evidence on bulk odd-frequency superconductors [35][36][37][38], odd-frequency pair correlations ubiquitously appear in the topological defects of SCs and SFs as fluctuations of the condensate generated by pair-breaking and ABS formation [2].…”

Section: Introductionmentioning

confidence: 99%

Multifaceted properties of Andreev bound states: interplay of symmetry and topology

Mizushima

Machida

2018

Phil. Trans. R. Soc. A.

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Andreev bound states (ABSs) ubiquitously emerge as a consequence of non-trivial topological structures of the order parameter of superfluids and superconductors and significantly contribute to thermodynamics and low-energy quantum transport phenomena. We here share the current status of our knowledge on their multifaceted properties such as Majorana fermions and odd-frequency pairing. A unified concept behind ABSs originates from a soliton state in the one-dimensional Dirac equation with mass domain wall and interplay of ABSs with symmetry and topology enrich their physical characteristics. We make an overview of ABSs with a special focus on superfluid He. The quantum liquid confined to restricted geometries serves as a rich repository of noteworthy quantum phenomena, such as the mass acquisition of Majorana fermions driven by spontaneous symmetry breaking, topological quantum criticality, Weyl superfluidity and the anomalous magnetic response. The marriage of the superfluidHe and nano-fabrication techniques will take one to a new horizon of topological quantum phenomena associated with ABSs.This article is part of the theme issue 'Andreev bound states'.

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Possible Odd-Frequency Pairing in Quasi-One-Dimensional Organic Superconductors (TMTSF)₂X

Cited by 12 publications

References 60 publications

Theory of a pair density wave on a quasi-one-dimensional lattice in the Hubbard model

Theory of a pair density wave on a quasi-one-dimensional lattice in the Hubbard model

Mean-field description of odd-frequency superconductivity with staggered ordering vector

Multifaceted properties of Andreev bound states: interplay of symmetry and topology

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Possible Odd-Frequency Pairing in Quasi-One-Dimensional Organic Superconductors (TMTSF)2X

Cited by 12 publications

References 60 publications

Theory of a pair density wave on a quasi-one-dimensional lattice in the Hubbard model

Theory of a pair density wave on a quasi-one-dimensional lattice in the Hubbard model

Mean-field description of odd-frequency superconductivity with staggered ordering vector

Multifaceted properties of Andreev bound states: interplay of symmetry and topology

Contact Info

Product

Resources

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Possible Odd-Frequency Pairing in Quasi-One-Dimensional Organic Superconductors (TMTSF)₂X