Diamagnetism of Graphene with Gap in Nonuniform Magnetic Field

Arimura, Yasunori; Ando, Tsuneya

doi:10.1143/jpsj.81.024702

Cited by 15 publications

(18 citation statements)

References 76 publications

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“…The pseudospin texture (13) describes a vortex-like meron in the momentum space, as shown in Fig.4. The Pontryagin index (12) yields…”

Section: Spin Chern Numbermentioning

confidence: 99%

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Topological phase transition and electrically tunable diamagnetism in silicene

Ezawa

2012

Eur. Phys. J. B

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Silicene is a monolayer of silicon atoms forming a honeycomb lattice. The lattice is actually made of two sublattices with a tiny separation. Silicene is a topological insulator, which is characterized by a full insulating gap in the bulk and helical gapless edges. It undergoes a phase transition from a topological insulator to a band insulator by applying external electric field. Analyzing the spin Chern number based on the effective Dirac theory, we find their origin to be a pseudospin meron in the momentum space. The peudospin degree of freedom arises from the two-sublattice structure. Our analysis makes clear the mechanism how a phase transition occurs from a topological insulator to a band insulator under increasing electric field. We propose a method to determine the critical electric field with the aid of diamagnetism of silicene. Diamagnetism is tunable by the external electric field, and exhibits a singular behaviour at the critical electric field. Our result is important also from the viewpoint of cross correlation between electric field and magnetism. Our finding will be important for future electro-magnetic correlated devices.

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“…The pseudospin texture (13) describes a vortex-like meron in the momentum space, as shown in Fig.4. The Pontryagin index (12) yields…”

Section: Spin Chern Numbermentioning

confidence: 99%

“…Contrarily, the Landau diamagnetism overcomes the Pauli paramagnetism in a certain condensed matter system. An extreme case is provided by graphene [8][9][10][11][12], where the orbital susceptibility has a strong singularity due to the gapless character of Dirac electrons.…”

Section: Introductionmentioning

confidence: 99%

Topological phase transition and electrically tunable diamagnetism in silicene

Ezawa

2012

Eur. Phys. J. B

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“…Following Ref. [47], we employ a self-consistent Born approximation that represents the simplest minimal model to take into account impurity/disorder scattering at the homogeneous level. We find that such bandgap closing is not associated with a vanishing of the effective massive term, rather to a diverging of the quasi-particle dynamical renormalization.…”

Section: Introductionmentioning

confidence: 99%

Impurity effects and bandgap closing in massive Dirac systems

Rostami

Cappelluti

2017

Phys. Rev. B

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We investigate the effects in the spectral properties of a massive Dirac system of the dynamical renormalization induce by disorder/impurity scattering within the self-consistent Born approximation. We show how that these effects leads to a remarkable closing of the bandgap edge. Above a critical value Uc of the impurity scattering the gap eventually closes, giving rise a finite density of states at zero energy. We show that the bandgap closing stems from the quasi-particle dynamical renormalization and it is not associated with the vanishing of the effective massive term. Incoherent processes are fundamental to describe such physics.

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“…with the expression for σ (0) T (q) given in Eqn. (56). We should note that the scaling of (T 1 T ) −1 at the QCP is not affected by the vertex correction and the additional selfenergy correction Z R L (ω).…”

Section: B Asymptotic Expressionsmentioning

confidence: 91%

Nuclear spin relaxation rate near the disorder-driven quantum critical point in Weyl fermion systems

2020

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Disorder such as impurities and dislocations in Weyl semimetals (SMs) drives a quantum critical point (QCP) where the density of states at the Weyl point gains a non-zero value. Near the QCP, the asymptotic low energy singularities of physical quantities are controlled by the critical exponents ν and z. The nuclear spin-lattice relaxation rate, which originates from the hyperfine coupling between a nuclear spin and long-range orbital currents in Weyl fermion systems, shows intriguing critical behavior. Based on the self-consistent Born approximation for impurities, we study the nuclear spin-lattice relaxation rate 1/T1 due to the orbital currents in disordered Weyl SMs. We find that (T1T ) −1 ∼ E 2/z at the QCP where E is the maximum of temperature T and chemical potential µ(T ) relative to the Weyl point. This scaling behavior of (T1T ) −1 is also confirmed by the self-consistent T -matrix approximation, where a remarkable temperature dependence of µ(T ) could play an important role. We hope these results of (T1T ) −1 will serve as an impetus for exploration of the disorder-driven quantum criticality in Weyl materials.

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Diamagnetism of Graphene with Gap in Nonuniform Magnetic Field

Cited by 15 publications

References 76 publications

Topological phase transition and electrically tunable diamagnetism in silicene

Topological phase transition and electrically tunable diamagnetism in silicene

Impurity effects and bandgap closing in massive Dirac systems

Nuclear spin relaxation rate near the disorder-driven quantum critical point in Weyl fermion systems

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