Influence of a chiral chemical potential on Weyl hybrid junctions

Breunig, Daniel; Zhang, Song-Bo; Stehno, Martin; Trauzettel, Björn

doi:10.1103/physrevb.99.174501

“…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

¹

,

Grieninger

²

,

Hernandez

³

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,[150][151][152][153][154]. A quantum Hall effective action for the anisotropic Dirac semimetal is discussed in [134].…”

Section: Discussionmentioning

confidence: 99%

Chiral hydrodynamics in strong external magnetic fields

Ammon,

Grieninger,

Hernandez

et al. 2020

Preprint

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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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“…Here, α is the angle between crystal coordinates and junction coordinates. The normal-state two band Hamiltonian with momenta k = ±K 0 + q around the Weyl nodes at ±K 0 reads 25,26,46 ,…”

Section: Theorymentioning

confidence: 99%

“…( 2) is independent of α. We perform an extra unitary transformation 26,46 to remove the angle α from the hole part of the BdG Hamiltonian in Eq. ( 9),…”

Section: Theorymentioning

confidence: 99%

Josephson effect in type-I Weyl Semimetals

Sinha

2020

Preprint

0

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The emergent Weyl fermions in condensed matter generally break the Lorentz invariance resulting in a tilted (type-I) or over-tilted (type-II) energy dispersion. The tilting energy spectrums can lead to exotic quantum interference effects in a junction set up. Here, we theoretically investigate the Josephson current in a Weyl superconductor-Weyl (semi)metal-Weyl superconductor junction of a time-reversal (TR) broken type-I Weyl semimetal. We demonstrate that the Cooper pairs of BCS-like pairing acquire a finite momentum in case of inversion symmetric tilt. Consequently, the system exhibits tilt induced anomalous current phase relations which are manifested by supercurrent 0-π transition and Josephson φ junction. On the contrary, these effects remain absent in case of inversion breaking tilt and for FFLO-like pairing in the Weyl superconductor. We further chart out qualitative differences between the two distinct types of pairings by studying the critical current dependency on junction length. Our study opens a new avenue to probe the unconventional superconducting pairings in TR-broken Weyl semimetals. It is also quite interesting that the tilting in Weyl nodes naturally leads to anomalous current phase relations in this model without any magnetic manipulation!

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Influence of a chiral chemical potential on Weyl hybrid junctions

Cited by 13 publications

References 65 publications

Chiral hydrodynamics in strong external magnetic fields

Chiral hydrodynamics in strong external magnetic fields

Chiral hydrodynamics in strong external magnetic fields

Josephson effect in type-I Weyl Semimetals

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