Theory of Tunneling Spectroscopy in the Larkin-Ovchinnikov State

Tanaka, Yukio; Asano, Yasuhiro; Ichioka, Masanori; Kashiwaya, Satoshi

doi:10.1103/physrevlett.98.077001

Cited by 81 publications

(149 citation statements)

References 27 publications

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“…This is explained as an effect of the ABS, which corresponds to the oddfrequency SC induced at the (1, 1) edge as discussed in Refs. [46,47]. We give brief discussion on this issue in Appendix A.…”

Section: A Results Of the Rpa Studymentioning

confidence: 99%

“…However, at the edge, ReF 1,1 (π/4, ε n ) is finite, and it shows an oddfrequency-dependence. This odd-frequency pair amplitude can be understood as another physical picture of the ABS [46,47]. Figure 14…”

Section: Appendix A: Relation Between Enhanced Fm Fluctuations and Odmentioning

confidence: 93%

“…The ABS is observed by scanning tunneling spectroscopy (STS) experiments as the zero-bias conductance peak [42][43][44][45]. The surface ABS is also regarded as the odd-frequency pairing amplitude induced at the surface of an even-frequency superconductor [46,47]. Owing to the increase in the LDOS caused by the ABS, a strong electron correlation is expected to emerge near the edge.…”

Section: Introductionmentioning

confidence: 99%

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Emergence of strongly correlated electronic states driven by the Andreev bound state in d -wave superconductors

Matsubara

Kontani

2020

Phys. Rev. B

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As well known, the surface Andreev bound state (ABS) forms at the open (1, 1) edge of a d x 2 −y 2wave superconductor. Although large local density of states (LDOS) in the ABS can lead to the emergence of exotic strongly correrated electronic states, theoretical studies on this issue has been limited. To understand important effects of ABS on the electronic correlation, we study the cluster Hubbard model with an open (1, 1) edge in the presence of a bulk d-wave gap. We calculate the site-dependent spin susceptibility by performing random phase approximation (RPA) and fluctuation exchange (FLEX) approximation in the real space. We find that at the (1, 1) edge, drastic ferromagnetic (FM) fluctuations occur owing to the ABS. In addition, as the temperature decreases, the system rapidly approaches a magnetic-order phase slightly below the transition temperature of the bulk d-wave superconductivity (SC). In this case, the FM fluctuations are expected to induce interesting phenomena such as edge-induced triplet SC and quantum critical phenomena.

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Section: A Results Of the Rpa Studymentioning

confidence: 99%

Section: Appendix A: Relation Between Enhanced Fm Fluctuations and Odmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

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Emergence of strongly correlated electronic states driven by the Andreev bound state in d -wave superconductors

Matsubara

Kontani

2020

Phys. Rev. B

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“…This leads to the possibility of a spatially modulated superconducting order, known as the FuldeFerrel-Larkin-Ovchinnikov ͑FFLO͒ phase; 25 however this phase has not been unambiguously observed to date. 26 Tanaka et al 27 recently studied the tunneling conductance for the FFLO state. Here, we are considering homogeneous coexistence of the magnetic and superconducting orders which occur as long as one stays well below the Clogston limit 20 ͑h / ⌬ 0 Ͻ 1 / ͱ 2 for s-wave superconductors͒.…”

Section: Discussionmentioning

confidence: 99%

Strongly spin-polarized current generated in a Zeeman-split unconventional superconductor

et al. 2008

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We consider a thin-film normal-metal/superconductor junction in the presence of an externally applied in-plane magnetic field for several symmetries of the superconducting order parameter. For p-wave superconductors, a strongly spin-polarized current emerges due to an interplay between the nodal structure of the superconducting order parameter, the existence or nonexistence of zero-energy surface states, and the Zeeman splitting of the bands which form superconductivity. Thus, the polarization depends strongly on the orbital symmetry of the superconducting state. Our findings suggest a mechanism for obtaining fully spin-polarized currents crucially involving zero-energy surface states, not present in s-wave superconductors.

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“…We adopt the so-called maximum contact boundary conditions of Ref. [34], whereby the periodic modulation of the order parameter in the x direction has a maximum at the x ¼ 0 interface.…”

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confidence: 99%

Andreev-Bragg Reflection from an Amperian Superconductor

et al. 2015

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We show how an electrical measurement can detect the pairing of electrons on the same side of the Fermi surface (Amperian pairing), recently proposed by Patrick Lee for the pseudogap phase of high-T c cuprate superconductors. Bragg scattering from the pair-density wave introduces odd multiples of 2k F momentum shifts when an electron incident from a normal metal is Andreev reflected as a hole. These Andreev-Bragg reflections can be detected in a three-terminal device, containing a ballistic Y junction between normal leads (1, 2) and the superconductor. The cross-conductance dI 1 =dV 2 has the opposite sign for Amperian pairing than it has either in the normal state or for the usual BCS pairing. Introduction.-Doped Mott insulators exhibit new symmetry-broken states of matter with coexisting magnetic, charge, and superconducting order [1][2][3]. Notable examples of such "intertwined order" are superconductors with a pair-density wave (PDW), such that the Cooper pairs acquire a nonzero center-of-mass momentum [3][4][5][6][7][8]. In the first proposals by Fulde, Ferrell, Larkin, and Ovchinnikov (FFLO) the PDW order was induced by an external magnetic field [9,10], but it can appear with preserved time-reversal symmetry in doped Mott insulators (and possibly also in a broader context [11]).In a remarkable recent paper [12], Patrick Lee has carried this development to its logical end point, by proposing PDW order with the maximal 2k F Cooper pair momentum. The pairing mechanism comes from the gauge field formulation of the resonating valence bond theory of high-T c superconductivity [1,[13][14][15][16], where electrons moving in the same direction feel an attractive force analogous to Ampère's force between current-carrying wires [17]. Lee has proposed this Amperian pairing to explain the diversity of anomalous properties that characterize the pseudogap phase in underdoped cuprate superconductors, including the appearance of Fermi arcs in the quasiparticle spectrum [18], charge order with a doping-dependent wave vector [19][20][21][22][23][24][25][26][27][28], and indications of short-range superconducting order [29][30][31][32].Phase-sensitive experimental tests for Amperian pairing are hindered by phase fluctuations and the nucleation of vortex antivortex pairs that are believed to suppress longrange phase coherence [12]. Here we propose to use Andreev reflection as a phase-insensitive probe, which being a local process would not require long-range superconducting order. Earlier studies of the FFLO state have indicated that conductance spectroscopy shows signatures of the nonzero momentum of Cooper pairs [33][34][35][36], but these are typically small effects. We find that the extreme 2k F momentum transfer upon Andreev reflection from an Amperian superconductor changes the sign of the current in

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Theory of Tunneling Spectroscopy in the Larkin-Ovchinnikov State

Cited by 81 publications

References 27 publications

Emergence of strongly correlated electronic states driven by the Andreev bound state in d -wave superconductors

Emergence of strongly correlated electronic states driven by the Andreev bound state in d -wave superconductors

Strongly spin-polarized current generated in a Zeeman-split unconventional superconductor

Andreev-Bragg Reflection from an Amperian Superconductor

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