How Many Surface Modes Does One See on the Boundary of a Dirac Material?

Kurkov, Maxim; Vassilevich, D. V.

doi:10.1103/physrevlett.124.176802

Cited by 13 publications

(9 citation statements)

References 27 publications

(42 reference statements)

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“…It is similar to the anomaly-induced transport [8,9] such as chiral magnetic effect (CME) [10][11][12][13][14] and chiral vortical effect (CVE) [15][16][17][18][19][20][21]. See also [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39] for related works.…”

Section: Introductionmentioning

confidence: 69%

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Enhancement of anomalous boundary current by high temperature

Guo

Miao

2021

Eur. Phys. J. C

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Recently it is found that Weyl anomaly leads to novel anomalous currents in the spacetime with a boundary. However, the anomalous current is suppressed by the mass of charge carriers and the distance to the boundary, which makes it difficult to be measured. In this paper, we explore the possible mechanisms for the enhancement of anomalous currents. Interestingly, we find that the anomalous current can be significantly enhanced by the high temperature, which makes easier the experimental detection. For free theories, the anomalous current is proportional to the temperature in the high temperature limit. Note that the currents can be enhanced by thermal effects only at high temperatures. In general, this is not the case at low temperatures. For general temperatures, the absolute value of the current of Neumann boundary condition first decreases and then increases with the temperature, while the current of Dirichlet boundary condition always increases with the temperature. It should be mentioned that the enhancement does not have an anomalous nature. In fact, the so-called anomalous current in this paper is not always related to Weyl anomaly. Instead, it is an anomalous effect due to the boundary.

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Section: Introductionmentioning

confidence: 69%

“…Now we are ready to derive the anomalous current. Substituting (35,39,40) into (11,12) , we get the renormalized current…”

Section: Anomalous Current Ii: Exact Resultsmentioning

confidence: 99%

Enhancement of anomalous boundary current by high temperature

Guo

Miao

2021

Eur. Phys. J. C

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“…In this work, boundary contributions to the polarization tensor have been totally neglected. To take them properly into account, one has to extend the results of [18,25] to the case of non-zero temperature and chemical potential. We hope to address this problem in a future publication.…”

Section: Discussionmentioning

confidence: 99%

“…To compute the reflection coefficients one needs to know the behavior of the polarization tensor near the boundary. This can be done at least in principle by QFT methods as in [18,25]. However, the computations done in these papers were quite complicated even for zero temperature and zero chemical potential.…”

Section: Casimir Interactionmentioning

confidence: 99%

Bulk contributions to the Casimir interaction of Dirac materials

Bordag,

Fialkovsky,

Khusnutdinov

et al. 2021

Preprint

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Exploiting methods of Quantum Field Theory we compute the bulk polarization tensor and bulk dielectric functions for Dirac materials in the presence of a mass gap, chemical potential, and finite temperature. Using these results (and neglecting eventual boundary effects), we study the Casimir interaction of Dirac materials. We describe in detail the characteristic features of the dielectric functions and their influence on the Casimir pressure.

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“…The invariant N θ (x, t ) is not quantized in general, however, and can be noninteger mod π [49,51], see also Ref. [52].…”

Section: B Lattice Volume and 3d Theta Termmentioning

confidence: 99%

Topological polarization, dual invariants, and surface flat bands in crystalline insulators

2021

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We describe a crystalline topological insulator (TI) phase of matter that exhibits spontaneous polarization in arbitrary dimensions. The bulk polarization response is constructed by coupling the system to geometric deformations of the underlying crystalline order, represented by local lattice vectors-the elasticity tetrads. This polarization results from the presence of (approximately) flat bands on the surface of such TIs. These flat bands are a consequence of the bulk-boundary correspondence of polarized topological media, and contrary to related nodal line semimetal phases also containing surface flat bands, they span the entire surface Brillouin zone. We also present an example Hamiltonian exhibiting a Lifshitz transition from the nodal line phase to the TI phase with polarization. In addition, we discuss a general classification of three-dimensional (3D) crystalline TI phases and invariants in terms of the elasticity tetrads. The phase with polarization naturally arises from this classification as a dual to the previously better-known 3D TI phase exhibiting quantum (spin) Hall effect. Besides polarization, another implication of the large surface flat band is the susceptibility to interaction effects such as superconductivity: The mean-field critical temperature is proportional to the size of the flat bands, and this type of system may hence exhibit superconductivity with a very high critical temperature.

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How Many Surface Modes Does One See on the Boundary of a Dirac Material?

Cited by 13 publications

References 27 publications

Enhancement of anomalous boundary current by high temperature

Enhancement of anomalous boundary current by high temperature

Bulk contributions to the Casimir interaction of Dirac materials

Topological polarization, dual invariants, and surface flat bands in crystalline insulators

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