Appearance of the universal value 
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 of the zero-bias conductance in a Weyl semimetal-superconductor junction

Zhang, Song-Bo; Dolcini, Fabrizio; Breunig, Daniel; Trauzettel, Björn

doi:10.1103/physrevb.97.041116

Cited by 23 publications

(20 citation statements)

References 76 publications

(111 reference statements)

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“…One promising testing ground are Weyl-or Dirac-semimetals [1,4,[169][170][171][172][173]. A quantum Hall effective action for the anisotropic Dirac semimetal is discussed in [152].…”

Section: Jhep04(2021)078mentioning

confidence: 99%

Chiral hydrodynamics in strong external magnetic fields

Ammon

Grieninger

Hernandez

et al. 2021

J. High Energ. Phys.

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We construct the general hydrodynamic description of (3+1)-dimensional chiral charged (quantum) fluids subject to a strong external magnetic field with effective field theory methods. We determine the constitutive equations for the energy-momentum tensor and the axial charge current, in part from a generating functional. Furthermore, we derive the Kubo formulas which relate two-point functions of the energy-momentum tensor and charge current to 27 transport coefficients: 8 independent thermodynamic, 4 independent non-dissipative hydrodynamic, and 10 independent dissipative hydrodynamic transport coefficients. Five Onsager relations render 5 more transport coefficients dependent. We uncover four novel transport effects, which are encoded in what we call the shear-induced conductivity, the two expansion-induced longitudinal conductivities and the shear-induced Hall conductivity. Remarkably, the shear-induced Hall conductivity constitutes a novel non-dissipative transport effect. As a demonstration, we compute all transport coefficients explicitly in a strongly coupled quantum fluid via holography.

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“…One promising testing ground are Weyl-or Dirac-semimetals [1,4,[169][170][171][172][173]. A quantum Hall effective action for the anisotropic Dirac semimetal is discussed in [152].…”

Section: Jhep04(2021)078mentioning

confidence: 99%

Chiral hydrodynamics in strong external magnetic fields

Ammon

Grieninger

Hernandez

et al. 2021

J. High Energ. Phys.

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“…, indicating the enhancement of Andreev reflection at the N-S interfaces [43]. Interestingly, we predict a clear forward skewness in the CPRs at low temperatures k B T min{∆, 1/L}.…”

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confidence: 58%

“…To date, most experimentally relevant WSMs preserve time-reversal symmetry but break inversion symmetry [5][6][7][8][9][10][11][12][13][14][15][16]. In these materials, s-wave superconductivity couples electrons of the same chirality [42,43]. Thus, chirality remains a well-defined property in those Josephson junctions.…”

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confidence: 99%

“…In the long junction and zero temperature limit, we show that this phenomenon expresses a novel quantum anomaly of Goldstone bosons (Cooper pairs) at π phase difference, since when sending the Zeeman field to zero, the CJC retains a sign singularity, breaking the Z 2 symmetry between the two decoupled chirality sectors at the quantum level. This mechanism also manifests itself as an anomalous Fraunhofer pattern.Model and setup.-We consider inversion-asymmetric WSMs described by the Hamiltonian [43,53] H w…”

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confidence: 99%

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Chirality Josephson Current Due to a Novel Quantum Anomaly in Inversion-Asymmetric Weyl Semimetals

2018

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We study Josephson junctions based on inversion-asymmetric but time-reversal symmetric Weyl semimetals under the influence of Zeeman fields. We find that, due to distinct spin textures, the Weyl nodes of opposite chirality respond differently to an external magnetic field. Remarkably, a Zeeman field perpendicular to the junction direction results in a phase shift of opposite sign in the current-phase relations of opposite chirality. This leads to a finite chirality Josephson current (CJC) even in the absence of a phase difference across the junction. This feature could allow for applications in chiralitytronics. In the long junction and zero temperature limit, the CJC embodies a novel quantum anomaly of Goldstone bosons at π phase difference which is associated with a Z2 symmetry at low energies. It can be detected experimentally via an anomalous Fraunhofer pattern.Introduction.-Weyl semimetals (WSMs) have recently attracted intensive interest thanks to their realization in a number of materials [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] and to their novel physics associated with Weyl nodes [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33]. The Weyl nodes appear in pairs that carry opposite chirality [34] in the absence of time-reversal or inversion symmetry. Chirality is thus a defining emergent property of electrons in WSMs. The possibility to probe and manipulate chirality is one of the most intriguing aspects of WSMs. Recently, chirality-dependent physics has been discussed in various contexts [35][36][37].Josephson junctions provide a complementary method to probe the electronic properties of a particular material. They are the basic building blocks for superconducting electronics with applications ranging from electronic magnetometers to quantum computation [38][39][40][41]. Hence, it is of fundamental interest to study Josephson junctions based on WSMs. To date, most experimentally relevant WSMs preserve time-reversal symmetry but break inversion symmetry [5][6][7][8][9][10][11][12][13][14][15][16]. In these materials, s-wave superconductivity couples electrons of the same chirality [42,43]. Thus, chirality remains a well-defined property in those Josephson junctions. Hence, we could think about using chirality as a resource for electronics, just as spin in spintronics. We coin this idea chiralitytronics. Recently, Josephson junctions based on Dirac semimetals have been fabricated [44][45][46]. By similar methods, it is feasible to also investigate Josephson junctions based on WSMs. Previous theoretical work [47][48][49][50][51] instead focused on either the inversion-symmetric case or the surface states where chirality is no longer a good quantum number [42,52].In this Letter, we focus on Josephson junctions to study the interplay of Zeeman fields, s-wave superconductivity, and chirality in inversion-asymmetric WSMs. We find that the Weyl nodes of opposite chirality display distinct spin textures. Thus, they respond differently to an external magnetic field. As a result, a ...

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“…After submission of this work, we became aware of Refs. [48][49][50], which studied the quadruplydegenerate QCP state in α-Sn [49], and its properties under light irradiation [50] and disorder scattering [48]. from Hunan Normal University.…”

Section: Discussionmentioning

confidence: 99%

Quadratic contact point semimetal: Theory and material realization

Zhu

Liu

et al. 2018

Phys. Rev. B

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Most electronic properties of metals are determined solely by the low-energy states around the Fermi level, and for topological metals/semimetals, these low-energy states become distinct because of their unusual energy dispersion and emergent pseudospin degree of freedom. Here, we propose a class of materials which are termed as quadratic contact point (QCP) semimetals. In these materials, the conduction and valence bands contact at isolated points in the Brillouin zone, around which the band dispersions are quadratic along all three directions. We show that in the absence/presence of spin-orbit coupling, there may exist triply-/quadruply-degenerate QCPs that are protected by the crystalline symmetry. We construct effective models to characterize the low-energy fermions near these QCPs. Under strong magnetic field, unlike the usual 3D electron gas, there appear unconventional features in the Landau spectrum. The QCP semimetal phase is adjacent to a variety of topological phases. For example, by breaking symmetries via Zeeman field or lattice strain, it can be transformed into a Weyl semimetal with Weyl and double Weyl points, a Z2 topological insulator/metal, or a Dirac semimetal. Via first-principles calculations, we identify realistic materials Cu2Se and RhAs3 as candidates for QCP semimetals. arXiv:1806.10458v2 [cond-mat.mtrl-sci]

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Appearance of the universal value e2/h of the zero-bias conductance in a Weyl semimetal-superconductor junction

Cited by 23 publications

References 76 publications

Chiral hydrodynamics in strong external magnetic fields

Chiral hydrodynamics in strong external magnetic fields

Chirality Josephson Current Due to a Novel Quantum Anomaly in Inversion-Asymmetric Weyl Semimetals

Quadratic contact point semimetal: Theory and material realization

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