Crossed Surface Flat Bands of Weyl Semimetal Superconductors

Lu, Bo; Yada, Keiji; Sato, Masatoshi; Tanaka, Yukio

doi:10.1103/physrevlett.114.096804

Cited by 90 publications

(108 citation statements)

References 67 publications

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“…For k 0 = 0, the two Weyl points collapse onto each other giving rise to a topologically trivial (i.e with a zero Berry curvature flux) massless degenerate Dirac fermion. The topological nature of a WSM leads to a host of interesting physics, for example Berry curvature induced anomalous transport, namely charge and thermal Hall conductivities [43][44][45][46][47][48] and open Fermi arcs on surfaces 11,[49][50][51][52][53][54][55] . Anomalous transport phenomena, however, have been already known to exist in a variety of systems which possess a non-trivial distribution of the Berry curvature flux 56,57 .…”

Section: Introductionmentioning

confidence: 99%

Nernst and magnetothermal conductivity in a lattice model of Weyl fermions

Sharma¹,

Goswami²,

Tewari³

2016

Phys. Rev. B

183

191

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Weyl semimetals (WSM) are topologically protected three dimensional materials whose low energy excitations are linearly dispersing massless Dirac fermions, possessing a non-trivial Berry curvature. Using semiclassical Boltzmann dynamics in the relaxation time approximation for a lattice model of time reversal (TR) symmetry broken WSM, we compute both magnetic field dependent and anomalous contributions to the Nernst coefficient. In addition to the magnetic field dependent Nernst response, which is present in both Dirac and Weyl semimetals, we show that, contrary to previous reports, the TR-broken WSM also has an anomalous Nernst response due to a non-vanishing Berry curvature. We also compute the thermal conductivities of a WSM in the Nernst (∇T ⊥ B) and the longitudinal (∇T B) set-up and confirm from our lattice model that in the parallel set-up, the Wiedemann-Franz law is violated between the longitudinal thermal and electrical conductivities due to chiral anomaly.

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Section: Introductionmentioning

confidence: 99%

Nernst and magnetothermal conductivity in a lattice model of Weyl fermions

Sharma¹,

Goswami²,

Tewari³

2016

Phys. Rev. B

183

191

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“…[239][240][241] The Fermi arc in the normal state make it possible to support an exotic surface state with symmetry-protected crossed flat bands in the superconducting state. 240) …”

Section: Superconducting Doped Weyl Semimetalsmentioning

confidence: 99%

Majorana Fermions and Topology in Superconductors

2016

Self Cite

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type of quantum statistics referred to as non-Abelian statistics, which is distinct from bose and fermi statistics, and can be utilized for application to topological quantum computation. Also, Majorana fermions give rise to various exotic phenomena such as "fractionalization", nonlocal correlation, and "teleportation". A pedagogical review of these subjects is presented.We also discuss interaction effects on topological classification of superconductors, and the basic properties of Weyl superconductors.

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“…Thus it is un- * Electronic address: tzhou@nuaa.edu.cn † Electronic address: zwang@hku.hk derstandable to observe the superconductivity in Weyl semimetals. Actually, the superconductivity in Weyl semimetal systems has been studied before [16][17][18][19][20][21][22][23][24][25][26]. Theoretically the ground state of the Weyl-type superconductors is still to be confirmed yet.…”

Section: Introductionmentioning

confidence: 99%

“…To our knowledge, full self-consistent studies about the superconducting pairing in this kind of systems are still awaited. Also, for both BCS and FFLO states, there exist some exotic features, such as the crossed flat bands in the uniform BCS-type pairing state [25], and the spacetime supersymmetry in the FFLO-type pairing state [26]. Thus it is timely and of fundamental interest to study the competition of these two superconducting states in more detail and clarify what kind of state is the genuine ground state.…”

Section: Introductionmentioning

confidence: 99%

Superconductivity in doped inversion-symmetric Weyl semimetals

2016

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We study theoretically the superconductivity in doped Weyl semimetals with an inversion symmetry based on the Bogoliubov-de Gennes equations. In principle, the two superconducting states, i.e., the zero momentum BCS-like pairing and the finite momentum Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) pairing are competing in this kind of systems. Our self-consistent calculation indicates that the BCS-type state may be the ground state. The competition between these two pairing states is studied in detail through normal state Fermi surface and the finite energy spectral functions. Generally, the Fermi surface topology supports the FFLO pairing while the finite energy band structure favors the BCS-type pairing. We also study the physical properties and address the Majorana Fermions excitation in these two superconducting state respectively.

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Crossed Surface Flat Bands of Weyl Semimetal Superconductors

Cited by 90 publications

References 67 publications

Nernst and magnetothermal conductivity in a lattice model of Weyl fermions

Nernst and magnetothermal conductivity in a lattice model of Weyl fermions

Majorana Fermions and Topology in Superconductors

Superconductivity in doped inversion-symmetric Weyl semimetals

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