Quantum chaos associated with an emergent ergosurface in the transition layer between type-I and type-II Weyl semimetals

Chen, Yu-Ge; Luo, Xi; Li, Fei-Ye; Chen, Bin; Yu, Yue

doi:10.1103/physrevb.101.035130

Cited by 16 publications

(10 citation statements)

References 51 publications

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“…The interface between type I and type II Weyl semimetals, which could simulate properties of the black hole horizon, may be designed experimentally by controlling the magnetic texture. This could open a method to study Hawking radiation [43,44] and quantum chaos [45][46][47][48] in Weyl semimetals.…”

mentioning

confidence: 99%

Curved spacetime theory of inhomogeneous Weyl materials

Liang

Ojanen

2019

Phys. Rev. Research

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We show how the universal low-energy properties of Weyl semimetals with spatially varying timereversal (TR) or inversion (I) symmetry breaking are described in terms of chiral fermions experiencing curved-spacetime geometry and synthetic gauge fields. By employing Clifford representations and Schrieffer-Wolff transformations, we present a systematic derivation of an effective curved-space Weyl theory with rich geometric and gauge structure. To illustrate the utility of the formalism, we give a concrete prescription of how to fabricate nontrivial curved spacetimes and event horizons in topological insulators with magnetic textures. Our theory can also account for strain-induced effects, providing a powerful unified framework for studying and designing inhomogeneous Weyl materials.arXiv:1906.07540v1 [cond-mat.mes-hall]

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confidence: 99%

Curved spacetime theory of inhomogeneous Weyl materials

Liang

Ojanen

2019

Phys. Rev. Research

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“…From Eqs. ( 6) and (19), one finds that S is proportional to the µ-derivative of σ at T = 0. Then, the sign of S, which is equal to that of L 12 , is dictated by whether σ at µ = 0 is a dip or a peak.…”

Section: Low Temperaturesmentioning

confidence: 99%

“…The critical point between the type-I and the type-II is called the type-III Dirac cone, where one of the bands consisting of the Dirac cone has a flat dispersion along a certain direction, resulting in a diverging density of state (DOS) at the Dirac point. Although the type-III Dirac cone is rare compared with the other two types, it has gained attention recently [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Thermoelectric transport of type-I, II, and III massless Dirac fermions in two-dimensional lattice model

Mizoguchi,

Matsuura,

Ogata

2021

Preprint

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We study longitudinal electric and thermoelectric transport coefficients of Dirac fermions on a simple lattice model where tuning of a single parameter enables us to change the type of Dirac cones from type-I to type-II. We pay particular attention to the behavior of the critical situation, i.e., the type-III Dirac cone. We find that the transport coefficients of the type-III Dirac fermions behave neither the limiting case of the type-I nor type-II. On one hand, the qualitative behaviors of the type-III case are similar to those of the type-I. On the other hand, the transport coefficients do not change monotonically upon increasing the tilting, namely, the largest thermoelectric response is obtained not for the type-III case but for the optically tilted type-I case. For the optimal case, the sizable transport coefficients are obtained, e.g., the dimensionless figure of merit being 0.18.

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“…Another example is the case of tilted Dirac dispersions that has been predicted to appear in quinoid and hydrogenated graphene [19][20][21][22], and which can be harnessed for valley filtering [23] or generating photocurrents [24]. Besides, when the tilting reaches a critical value, its associated Fermi surface changes from being a point to a line becoming what have been labeled as Type II and III Dirac points [25][26][27][28][29][30][31][32][33][34][35][36], which are believed to be instrumental to enhance the superconducting gap [37], to probe flat-band physics [38] and quantum chaos [39], or even study analogue black holes in solidstate environments [30,40].…”

Section: Introductionmentioning

confidence: 99%

Quantum electrodynamics in anisotropic and tilted Dirac photonic lattices

Redondo-Yuste,

de Paz,

Huidobro

et al. 2021

Preprint

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One of the most striking predictions of quantum electrodynamics is that vacuum fluctuations of the electromagnetic field can lead to spontaneous emission of atoms as well as photon-mediated interactions among them. Since these processes strongly depend on the nature of the photonic bath, a current burgeoning field is the study of their modification in the presence of photons with non-trivial energy dispersions, e.g., the ones confined in photonic crystals. A remarkable example is the case of isotropic Dirac-photons, which has been recently shown to lead to non-exponential spontaneous emission as well as dissipation-less long-range emitter interactions. In this work, we show how to further tune these processes by considering anisotropic Dirac cone dispersions, which include tilted, semi-Dirac, and the recently discovered type II and III Dirac points. In particular, we show how by changing the anisotropy of the lattice one can change both the spatial shape of the interactions as well as its coherent/incoherent nature. Finally, we discuss a possible implementation where these energy dispersions can be engineered and interfaced with quantum emitters based on subwavelength atomic arrays.

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Quantum chaos associated with an emergent ergosurface in the transition layer between type-I and type-II Weyl semimetals

Cited by 16 publications

References 51 publications

Curved spacetime theory of inhomogeneous Weyl materials

Curved spacetime theory of inhomogeneous Weyl materials

Thermoelectric transport of type-I, II, and III massless Dirac fermions in two-dimensional lattice model

Quantum electrodynamics in anisotropic and tilted Dirac photonic lattices

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