Anomalous Andreev Bound State in Noncentrosymmetric Superconductors

Tanaka, Yukio; Mizuno, Yoshihiro; Yokoyama, Takehito; Yada, Keiji; Sato, Masatoshi

doi:10.1103/physrevlett.105.097002

Cited by 157 publications

(213 citation statements)

References 38 publications

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“…In this case, the Majorana modes will exist within the shaded range of momenta p x ,p y . Interestingly, such finite concentration of Majorana zero modes has also been predicted to exist in some time-reversal-invariant systems: 26 The results presented here indicate that the presence or absence of time-reversal invariance is not the determining factor for the presence or absence of a large density of zero-energy surface states.…”

Section: Origin Of Surface Zero Modesmentioning

confidence: 61%

Majorana fermions in superconducting helical magnets

2012

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In a variety of rare-earth-based compounds, singlet superconductivity coexists with helical magnetism. Here we demonstrate that surfaces of these systems should generically host a finite density of zero-energy Majorana modes. In the limit of vanishing disorder, these modes lead to a divergent contribution to zero-energy density of states and to zero-temperature entropy proportional to the sample surface area. When confined to a wire geometry, a discrete number of Majorana modes can be isolated. The relatively large characteristic energy scales for superconductivity and magnetism, compared to other proposals, as well as the lack of need for fine tuning, make helical magnetic superconducting compounds favorable for the observation and experimental investigation of Majorana fermions.

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Section: Origin Of Surface Zero Modesmentioning

confidence: 61%

Majorana fermions in superconducting helical magnets

2012

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“…An alternative platform to realize this exotic pairing is offered by ultracold fermionic atoms (Sato, Takahashi, and Fujimoto, 2010). Quite generally, singlet and triplet pairing coexist and are mixed by Rashba spin-orbit coupling, but the edge modes remain topologically protected for sufficiently weak admixture (Sato et al, 2011;Tanaka et al, 2010).…”

Section: Heat Transport By Majorana Edge Modesmentioning

confidence: 99%

Random-matrix theory of Majorana fermions and topological superconductors

2015

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The theory of random matrices originated half a century ago as a universal description of the spectral statistics of atoms and nuclei, dependent only on the presence or absence of fundamental symmetries. Applications to quantum dots (artificial atoms) followed, stimulated by developments in the field of quantum chaos, as well as applications to Andreev billiards -quantum dots with induced superconductivity. Superconductors with topologically protected subgap states, Majorana zero-modes and Majorana edge modes, provide a new arena for applications of random-matrix theory. We review these recent developments, with an emphasis on electrical and thermal transport properties that can probe the Majorana fermions.

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“…It has also been proposed that the noncentrosymmetric crystal structure along with strong correlation between electrons may lead to the mixing of spin singlet and spin-triplet superconductivity [9]. In addition, various physical properties for example thermal conductivity and magnetic penetration depth proposed line node in the energy gap [12][13][14][15][16]. In some theoretical studies the exotic mixed-state phases have been predicted for this type of superconductors.…”

Section: Introductionmentioning

confidence: 99%

Weak ferromagnetism in a noncentrosymmetric BiPd 4 K superconductor

Jha

Goyal

Neha

et al. 2015

Supercond. Sci. Technol.

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We report synthesis of non-centrosymmetric BiPd single crystal by self flux method. The BiPd single crystal is crystallized in monoclinic structure with the P2 1 space group. Detailed SEM (Scanning Electron Microscopy) results show that the crystals are formed in slab like morphology with homogenous distribution of Bi and Pd. The magnetic susceptibility measurement confirmed that the BiPd compound is superconducting below 4K. Further, BiPd exhibits weak ferromagnetism near the superconducting transition temperature in isothermal magnetization (MH) measurements. The temperature dependent electrical resistivity also confirmed that the BiPd single crystal is superconducting at T c =4K. Magneto transport measurements showed that the estimated H c2 (0) value is around 7.0kOe. We also obtained a sharp peak in heat capacity Cp(T) measurements at below 4K due to superconducting ordering. The normalized specific-heat jump, C/γT c , is 1.52, suggesting the BiPd to be an intermediate BCS coupled superconductor. The pressure dependent electrical resistivity shows the T c decreases with increasing applied pressure and the obtained dT c /dP is -0.62K/Gpa.

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Anomalous Andreev Bound State in Noncentrosymmetric Superconductors

Cited by 157 publications

References 38 publications

Majorana fermions in superconducting helical magnets

Majorana fermions in superconducting helical magnets

Random-matrix theory of Majorana fermions and topological superconductors

Weak ferromagnetism in a noncentrosymmetric BiPd 4 K superconductor

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