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Iguchi, Ienari; Wang, W.; Yamazaki, Masashi; Tanaka, Yukio; Kashiwaya, Satoshi

doi:10.1103/physrevb.62.r6131

Cited by 151 publications

(110 citation statements)

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“…The hallmark of a pure d-wave OP in the tunneling spectra is the zero bias conductance peak (ZBCP) observed for tunneling along and near the nodal [110] direction [5][6][7][8][9][10][11] , reflecting the existence of surface Andreev bound states at the Fermi level [12][13][14][15][16] . In addition, U and V-shaped gaps can be seen, respectively, in the [100] and [001] directions 8, 11 , 15, 17, 18 .…”

Section: Introductionmentioning

confidence: 99%

Local and macroscopic tunneling spectroscopy ofY1−xCaxBa<

et al. 2002

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Section: Introductionmentioning

confidence: 99%

Local and macroscopic tunneling spectroscopy ofY1−xCaxBa<

et al. 2002

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“…For d-wave SC with edges, the zero bias conductance peak (ZBCP) due to zero-energy edge states was observed via a tunneling spectroscopy. [16,17] The issue addressed in this Letter is how to infer the existence of zero-energy eigen states localized on the boundaries in terms of properties of the bulk, and the symmetry. We first consider one-dimensional (1D) systems with a particle-hole symmetry, and then apply the results to systems in higher dimensions.…”

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confidence: 99%

Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems

2002

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A criterion to determine the existence of zero-energy edge states is discussed for a class of particlehole symmetric Hamiltonians. A "loop" in a parameter space is assigned for each one-dimensional bulk Hamiltonian, and its topological properties, combined with the chiral symmetry, play an essential role. It provides a unified framework to discuss zero-energy edge modes for several systems such as fully gapped superconductors, two-dimensional d-wave superconductors, and graphite ribbons. A variants of the Peierls instability caused by the presence of edges is also discussed.Depending on several parameters such as hopping integrals or chemical potentials, and also on underlying crystalline lattices, a large variety of electronic structures are realized in condensed matter physics. Electron correlations also give rise to a plenty of quantum phases, forming non-trivial quasi-particle band structures. An interesting consequence of a rich band structure is the existence of edge states that may appear when boundaries are present. In the quantum Hall effect (QHE), this issue was discussed in terms of the origin of the quantization of a Hall conductance. [1,2,3,4,5] Recently, the ideas developed in the QHE have also been extended for other gapped many-body systems, and become essential to describing topological nature of several quantum phases. [6,7,8,9,10,11] Apart from these examples for gapped systems, edge states in gapless systems have attracted much attention recently. Example of these are d-wave superconductor (SC) with edges [12,14], or graphite ribbons [15], where the existence of edge states strongly depends on the shape of edges. For d-wave SC with edges, the zero bias conductance peak (ZBCP) due to zero-energy edge states was observed via a tunneling spectroscopy. [16,17] The issue addressed in this Letter is how to infer the existence of zero-energy eigen states localized on the boundaries in terms of properties of the bulk, and the symmetry. We first consider one-dimensional (1D) systems with a particle-hole symmetry, and then apply the results to systems in higher dimensions. Especially, we will demonstrate applications to fully gapped SC in conjunction with the Chern number, 2D d-wave SC, and graphite ribbons. In addition to these examples, the present work is also applicable to zero-modes in the 1D molecule polyacetylene [18], and quantum spin systems.We start with the following single-particle Hamiltonian on a 1D lattice:

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“…The time-reversal symmetry (T ) breaking on surfaces and interfaces of superconductors with d-wave orbital pairing has been intensively investigated in the last years both in theory and experiment [1][2][3][4][5][6][7][8]. Several mechanisms of T -breaking have been proposed, which fall in two categories: appearance of subdominant order parameter and proximity effect [2,3].…”

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Mechanisms of spontaneous current generation in an inhomogeneousd-wave superconductor

2001

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A boundary between two d-wave superconductors or an s-wave and a d -wave superconductor generally breaks time-reversal symmetry and can generate spontaneous currents due to proximity effect. On the other hand, surfaces and interfaces in d-wave superconductors can produce localized current-carrying states by supporting the T -breaking combination of dominant and subdominant order parameters. We investigate spontaneous currents in the presence of both mechanisms and show that at low temperature, counter-intuitively, the subdominant coupling decreases the amplitude of the spontaneous current due to proximity effect. Superscreening of spontaneous currents is demonstrated to be present in any d-d (but not s-d) junction and surface with d + id ′ order parameter symmetry. We show that this supercreening is the result of contributions from the local magnetic moment of the condensate to the spontaneous current.(May 29, 2018)The time-reversal symmetry (T ) breaking on surfaces and interfaces of superconductors with d-wave orbital pairing has been intensively investigated in the last years both in theory and experiment [1][2][3][4][5][6][7][8]. Several mechanisms of T -breaking have been proposed, which fall in two categories: appearance of subdominant order parameter and proximity effect [2,3].In the first case the surface or interface suppresses the dominant order parameter (d x 2 −y 2 in YBCO [4]). If the pairing interaction in other channels is nonzero, the subdominant order parameter will be formed below the corresponding, smaller critical temperature T c2 [9]. The combination of the two order parameters with complex coefficients breaks the T -symmetry [1] and leads to spontaneous surface currents and magnetic fluxes. Usually d x 2 −y 2 ± is or d x 2 −y 2 ± id xy combinations are predicted. Recent observations of zero bias peak splitting in surface tunneling experiments [5] and spontaneous fractional flux (0.1-0.2 Φ 0 ) near the "green phase" inclusions in YBCO films [6] agree with this picture.The other possibility arises in a junction between two d-wave superconductors with different orientations of the order parameter [7]. In this case the two order parameters necessary to form a T -breaking state, d 1,2 , are supplied by the bulk superconductors. The equilibrium phase difference across the boundary, φ 0 , is generally neither 0 nor π, and therefore the states with d 1 +e ±iφ0 d 2 orderings are degenerate and may support spontaneous currents. The same mechanism applies in case of a boundary between an s-and a d-wave superconductor [8].In order to investigate the interplay of both mechanisms, in this letter we consider d-d and s-d interfaces as well as (110)-surface of a d-wave superconductor. We will see that generally the spontaneous currents due to proximity effect are suppressed by the existence of subdominant order parameter. There is also an important distinction between the d-d and s-d cases: In the former case the superconductor may have local orbital and magnetic moments, contributing to the non-dissipative...

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Angle-resolved Andreev bound states in anisotropicd-wave high-TcYBa2

Cited by 151 publications

References 27 publications

Local and macroscopic tunneling spectroscopy ofY1−xCaxBa<

Local and macroscopic tunneling spectroscopy ofY1−xCaxBa<

Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems

Mechanisms of spontaneous current generation in an inhomogeneousd-wave superconductor

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