Spin-Polarized Majorana Bound States inside a Vortex Core in Topological Superconductors

Nagai, Yuki; Nakamura, Hiroki; Machida, Masahiko

doi:10.7566/jpsj.83.064703

Cited by 28 publications

(21 citation statements)

References 40 publications

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“…U sing this condition, we relate the pair am plitudes of odd- On the other hand, the expectation value of the spin at zero energy, i.e., the spin of MF [79][80][81] is given by Therefore we find that odd-frequency pair amplitudes and the ratio of (sz) and (sx) satisfy the following relation: r s odd _ r s odd r s odd Jn (17) In later sections, using Eq. (8), we discuss how odd-frequency pair relates with the parity of the wave function by our numerical results.…”

Section: Ic D J Imentioning

confidence: 99%

Odd-frequency pairing in topological superconductivity in a one-dimensional magnetic chain

et al. 2015

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A chain of magnetic atoms with noncollinear spin configuration on a superconductor is a promising new system that can host Majorana fermions (MFs). In this study, we clarify that in the presence of MFs, an odd-frequency Cooper pair is generated at the edge of the chain. Furthermore, it is revealed that this feature is robust against the distance between magnetic atoms as far as this distance is shorter than the coherence length of the superconductor. We also elucidate the close relationship between the pair amplitude of the odd-frequency pair and the direction of the MF spin. If Rashba-type spin-orbit coupling is included, MFs can be realized even in a collinear alignment of magnetic atoms, i.e., in a ferromagnetic or an antiferromagnetic chain on a superconductor. Then, the odd-frequency pairing is generated at the edge, similar to the noncollinear case. Based on our results, it can be concluded that the detection of the zero-energy peak of the local density of states by scanning tunneling microscopy at the edge of the magnetic chain is strong evidence for the generation of odd-frequency pairing.

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Section: Ic D J Imentioning

confidence: 99%

Odd-frequency pairing in topological superconductivity in a one-dimensional magnetic chain

et al. 2015

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“…The superconducting topological insulator (STI), which is a superconductor realized in a doped topological insulator, has been also attracting a great research interest following the first observation of zero-bias conductance peak that indicates the existence of SABSs in Cu x Bi 2 Se 3 [26]. And now, determination of the pairing symmetry of Cu x Bi 2 Se 3 is recognized as an important problem [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]. In the STI, theoretical studies have revealed that the cone shape SABS becomes twisted dispersion due to the mixing with the surface state in the normal state [44][45][46].…”

Section: Introductionmentioning

confidence: 99%

Surface electronic state of superconducting topological crystalline insulator

et al. 2015

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We study the surface state of a doped topological crystalline insulator in the superconducting state. Motivated by Sn1−xInxTe, we consider fully-gapped pair potentials and calculate the surface spectral function. It is found that mirror-protected zero-energy surface Andreev bound states (SABSs) appear at the (001) surface. The gapless points of these SABSs appear on the mirror symmetric line on the surface Brillouin zone while the positions of the gapless points depend on the chemical potential. In addition, due to the presence of the Dirac surface states in the normal state, the dispersion of the SABSs drastically changes with the chemical potential.

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“…2(c) shows that the Majorana state is spin-polarized in the helical p-wave SCs. This is another type of spin-polarized zero energy state than that supposed in Bi 2 Te 3 /NbSe 2 [18] or Cu x Bi 2 Si 3 [20].…”

Section: H Dependence Of Zero-energy Spin-polarized Dos and Ldosmentioning

confidence: 70%

“…Moreover, spin polarization of Majorana zero-energy modes are investigated by the spin-polarized STM/STS measurement, which can selectively detect the spin-dependent conductance [19]. The spin polarization in the vortex state of topological SC Cu x Bi 2 Si 3 is also theoretically studied [20].…”

Section: Introductionmentioning

confidence: 99%

Spin-polarized local density of states in the vortex state of helical p -wave superconductors

2017

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Properties of the vortex state in helical p-wave superconductor are studied by the quasiclassical Eilenberger theory. We confirm the instability of the helical p-wave state at high fields and that the spin-polarized local density of states M(E,r) appears even when Knight shift does not change. This is because the vorticity couples to the chirality of up-spin pair or down-spin pair of the helical state. In order to identify the helical p-wave state at low fields, we investigate the structure of the zero-energy M(E = 0,r) in the vortex states, and also the energy spectra of M(E,r).

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Spin-Polarized Majorana Bound States inside a Vortex Core in Topological Superconductors

Cited by 28 publications

References 40 publications

Odd-frequency pairing in topological superconductivity in a one-dimensional magnetic chain

Odd-frequency pairing in topological superconductivity in a one-dimensional magnetic chain

Surface electronic state of superconducting topological crystalline insulator

Spin-polarized local density of states in the vortex state of helical p -wave superconductors

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