Anomalous Spin Transport Properties of Gapped Dirac Electrons with Tilting

Abstract

The anomalous spin transport coefficients of gapped Dirac electrons are studied with application to a quasi-two-dimensional organic conductor $\alpha$-(BETS)${}_2$I${}_3$ in mind. In the presence of a gap induced by spin-orbit interaction, we show that the effective Hamiltonian is similar to the model considered by Kane and Mele with additional tilting. With this effective Hamiltonian, conductivity tensors up to the linear order of the applied magnetic field are obtained analytically using the microscopic linear response theory or Kubo formula. It is shown that spin Hall conductivity and anomalous diagonal spin conductivity proportional to the magnetic field become nonzero in this system, which are written in terms of the Berry curvature and orbital magnetic moment.The estimated values of spin conductivities using typical parameters turn out to be comparable to the spin Hall conductivity in Pt.

References in corpus (38)

• Quantum Spin Hall Effect in Graphene
• Berry Phase Effects on Electronic Properties
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Berry phase correction to electron density of states in solids
• Transport of Dirac quasiparticles in graphene: Hall and optical conductivities
• Magnetic field driven metal-insulator phase transition in planar systems
• Pressure-Induced Zero-Gap Semiconducting State in Organic Conductor $\alpha$-(BEDT-TTF)${}_2$I${}_3$ Salt
• Charge Ordering in Organic ET Compounds
• Berry phase, hyperorbits, and the Hofstadter spectrum
• Quantum Theory of Orbital Magnetization and its Generalization to Interacting Systems
• Anomalous orbital magnetism in Dirac-electron systems: Role of pseudo-spin paramagnetism
• Transport Properties and Diamagnetism of Dirac Electrons in Bismuth
• Geometric orbital susceptibility: quantum metric without Berry curvature
• First-Principles Study of Electronic Structure in $\alpha$-(BEDT-TTF)${}_2$I${}_3$ at Ambient Pressure and with Uniaxial Strain
• Observation of an anisotropic Dirac cone reshaping and ferrimagnetic spin polarization in an organic conductor
• Anomalous Orbital Magnetism and Hall Effect of Massless Fermions in Two Dimension
• Linear magneto-chiral transport in tilted type-I and type-II Weyl Semimetals
• Anomalous Spin Correlations and Mass-Generating Excitonic Instability of Interacting Weyl Fermions
• Importance of Spin-Orbit Coupling in Organic BEDT-TTF and BEDT-TSF Salts
• Emergence of Dirac Electron Pair in Charge Ordered State of Organic Conductor $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Interband Effects of Magnetic Field on Hall Effects for Dirac Electrons in Bismuth
• Ambient pressure Dirac electron system in quasi-two-dimensional molecular conductor $\alpha$-(BETS)${}_2$I${}_3$
• Spin-Hall Effect and Diamagnetism of Dirac Electrons
• First-principles study of the effective Hamiltonian for Dirac fermions with spin-orbit coupling in two-dimensional molecular conductor $\alpha$-(BETS)${}_2$I${}_3$
• Large Diamagnetism and Electromagnetic Duality in Two-dimensional Dirac Electron System
• Microscopic theory of magnetoconductivity at low magnetic fields in terms of Berry curvature and orbital magnetic moment
• Giant orbital diamagnetism of three-dimensional Dirac electrons in Sr${}_3$PbO antiperovskite
• Topological Insulator State due to Finite Spin-Orbit Interaction in an Organic Dirac Fermion System
• Berry Curvature of the Dirac Particle in $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Transport properties of organic Dirac electron system α-(BEDT-TSeF)${}_2$I${}_3$
• Spin-Hall Effect and Diamagnetism of Anisotropic Dirac Electrons in Solids
• Crossed responses of spin and orbital magnetism in topological insulators
• Universal Quantization of Magnetic Susceptibility Jump at Topological Phase Transition
• Edge states in the three-quarter filled system, $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Predicted photoinduced pair annihilation of emergent magnetic charges in the organic salt $\alpha$-(BEDT-TTF)${}_2$I${}_3$ irradiated by linearly polarized light
• Possible Nonlinear Anomalous Thermoelectric Effect in Organic Massive Dirac Fermion System
• Electric and Magnetic Responses of Two-dimensional Dirac Electrons in Organic Conductor $\alpha$-(BETS)${}_2$I${}_3$
• Anomalous conductivity of two-dimensional Dirac electrons in organic conductor under pressures

Cited by in corpus (4)

• Elasto-Hall conductivity and the anomalous Hall effect in altermagnets
• Predicted novel type of photoinduced topological phase transition accompanied by collision and collapse of Dirac-cone pair in organic salt $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Spin-Orbit Coupling Effect on the Seebeck Coefficient in Dirac Electron Systems in $\alpha$-(BETS)${}_2$I${}_3$
• Excitonic instability in transition metal dichalcogenides