# Meissner Effect of Dirac Electrons in Superconducting State Due to Inter-Band Effect

@article{Mizoguchi2015MeissnerEO, title={Meissner Effect of Dirac Electrons in Superconducting State Due to Inter-Band Effect}, author={Tomonari Mizoguchi and Masao Ogata}, journal={Journal of the Physical Society of Japan}, year={2015}, volume={84}, pages={084704} }

Dirac electrons in solids show characteristic physical properties due to their linear dispersion relation and two-band nature. Although the transport phenomena of Dirac electrons in a normal state have intensively been studied, the transport phenomena in a superconducting state have not been fully understood. In particular, it is not clear whether Dirac electrons in a superconducting state show Meissner effect (ME), since a diamagnetic term of a current operator is absent as a result of the…

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## References

SHOWING 1-10 OF 26 REFERENCES

### Meissner effect of Dirac electron in superconducting state

- Physics
- 2015

We investigate the Meissner effect (ME) of Dirac electrons in a superconducting state on the basis of Kubo formula, and clarify that Meissner kernel becomes finite by use of the inter-band…

### Nodal liquid and s -wave superconductivity in transition metal dichalcogenides

- Physics
- 2005

We explore the physical properties of a unified microscopic theory for the coexistence of superconductivity and charge-density waves (CDWs) in two-dimensional transition-metal dichalcogenides. In the…

### Spin-Hall Effect and Diamagnetism of Dirac Electrons

- Physics
- 2012

Spin-Hall conductivity (SHC) of fully relativistic (4x4 matrix) Dirac electrons is studied based on the Kubo formula aiming at possible application to bismuth and bismuth-antimony alloys. It is found…

### Thermoelectric Transport Coefficients for Massless Dirac Electrons in Quantum Limit

- Physics
- 2013

We perform an analytic calculation of thermoelectric transport coefficients for massless Dirac electrons using the approach based on the Kubo–Středa formula and generalized Mott's relation. The main…

### Anomalous orbital magnetism in Dirac-electron systems: Role of pseudospin paramagnetism

- Physics
- 2010

The orbital diamagnetic susceptibility is calculated in monolayer and bilayer graphenes with band gap as well as in three-dimensional Dirac systems. It is demonstrated that the pseudo-spin degree of…

### Interband contributions from the magnetic field on Hall effects for dirac electrons in bismuth.

- PhysicsPhysical review letters
- 2009

It is shown that there is an unconventional contribution to sigma_{xy} generated by the interband effects of a magnetic field, which is remarkable near the band edges and does not depend on impurity scatterings so much, suggesting the same origin as the known large diamagnetism.

### Quantum spin Hall effect in graphene.

- PhysicsPhysical review letters
- 2005

Graphene is converted from an ideal two-dimensional semimetallic state to a quantum spin Hall insulator and the spin and charge conductances in these edge states are calculated and the effects of temperature, chemical potential, Rashba coupling, disorder, and symmetry breaking fields are discussed.

### Three-Dimensional Dirac Electrons at the Fermi Energy in Cubic Inverse Perovskites: Ca_3PbO and its Family

- Physics
- 2011

The band structure of cubic inverse perovskites, Ca_3PbO and its family, are investigated with the first-principles method. A close observation of the band structure reveals that six equivalent Dirac…

### Discovery of a Three-Dimensional Topological Dirac Semimetal, Na3Bi

- PhysicsScience
- 2014

Na3Bi is established as a model system for 3D TDSs, which can serve as an ideal platform for the systematic study of quantum phase transitions between rich topological quantum states, and the robustness of 3D Dirac fermions in Na3Bi against in situ surface doping is demonstrated.

### Hall Effect and Orbital Diamagnetism in Zerogap State of Molecular Conductor α-(BEDT-TTF)2I3

- Physics
- 2008

The apparent zerogap fermions in α-(BEDT-TTF) 2 I 3 are recently proposed to obey the tilted Weyl equation which is very unusual. The Hall conductivity, the conductivity and the orbital…