Energy Magnetization and the Thermal Hall Effect

Qin, Tao; Niu, Qian; Shi, Junren

doi:10.1103/physrevlett.107.236601

Cited by 194 publications

(261 citation statements)

References 21 publications

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“…It is known that the thermal Hall conductivity of the topological superconductors in the low temperature limit is given by κ xy = C 2 πT 6 with the coefficient to the temperature T being quantized. [43][44][45] Here the appearance of half the Chern number is a reflection of the half-fermion nature for Majorana modes. Different topological phases shown in Fig.…”

Section: Discussion and Summarymentioning

confidence: 99%

Duality in topological superconductors and topological ferromagnetic insulators in a honeycomb lattice

et al. 2016

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The ground state of large Hubbard U limit of a honeycomb lattice near half-filling is known to be a singlet d + id-wave superconductor. It is also known that this d + id superconductor exhibits a chiral p + ip pairing locally at the Dirac cone, characterized by a 2Z topological invariant. By constructing a dual transformation, we demonstrate that this 2Z topological superconductor is equivalent to a collection of two topological ferromagnetic insulators. As a result of the duality, the topology of the electronic structures for a d + id superconductor is controllable via the change of the chemical potential by tuning the gate voltage. In particular, instead of being always a chiral superconductor, we find that the d + id superconductor undergoes a topological phase transition from a chiral superconductor to a quasi-helical superconductor as the gap amplitude or the chemical potential decreases. The quasi-helical superconducting phase is found to be characterized by a topological invariant in the pseudo-spin charge sector with vanishing both the Chern number and the spin Chern number. We further elucidate the topological phase transition by analyzing the relationship between the topological invariant and the rotation symmetry. Due to the angular momentum carried by the gap function and spin-orbit interactions, we show that by placing d + id superconductors in proximity to ferromagnets, varieties of chiral superconducting phases characterized by higher Chern numbers can be accessed, providing a new platform for hosting large numbers of Majorana modes at edges.

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Section: Discussion and Summarymentioning

confidence: 99%

Duality in topological superconductors and topological ferromagnetic insulators in a honeycomb lattice

et al. 2016

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“…According to Refs. [55,56], the transport coefficients L αβ nm with α, β = (1, 2) are given by the following relations:…”

Section: Transport Currents and Magnetizationsmentioning

confidence: 99%

Anomalous thermoelectric phenomena in lattice models of multi-Weyl semimetals

Gorbar¹,

Miransky²,

Shovkovy³

et al. 2017

Phys. Rev. B

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The thermoelectric transport coefficients are calculated in a generic lattice model of multi-Weyl semimetals with a broken time-reversal symmetry by using the Kubo's linear response theory. The contributions connected with the Berry curvature-induced electromagnetic orbital and heat magnetizations are systematically taken into account. It is shown that the thermoelectric transport is profoundly affected by the nontrivial topology of multi-Weyl semimetals. In particular, the calculation reveals a number of thermal coefficients of the topological origin which describe the anomalous Nernst and thermal Hall effects in the absence of background magnetic fields. Similarly to the anomalous Hall effect, all anomalous thermoelectric coefficients are proportional to the integer topological charge of the Weyl nodes. The dependence of the thermoelectric coefficients on the chemical potential and temperature is also studied.

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“…It can also be derived by first calculating the transverse heat current in response to an electric field and then using Onsager's relation 81 . The heat current Q takes the following form after accounting for both normal and anomalous contributions 75,[82][83][84] …”

Section: Boltzmann Formalism For Nernst Response In a Lattice Weymentioning

confidence: 99%

Nernst and magnetothermal conductivity in a lattice model of Weyl fermions

Sharma¹,

Goswami²,

Tewari³

2016

Phys. Rev. B

178

191

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Weyl semimetals (WSM) are topologically protected three dimensional materials whose low energy excitations are linearly dispersing massless Dirac fermions, possessing a non-trivial Berry curvature. Using semiclassical Boltzmann dynamics in the relaxation time approximation for a lattice model of time reversal (TR) symmetry broken WSM, we compute both magnetic field dependent and anomalous contributions to the Nernst coefficient. In addition to the magnetic field dependent Nernst response, which is present in both Dirac and Weyl semimetals, we show that, contrary to previous reports, the TR-broken WSM also has an anomalous Nernst response due to a non-vanishing Berry curvature. We also compute the thermal conductivities of a WSM in the Nernst (∇T ⊥ B) and the longitudinal (∇T B) set-up and confirm from our lattice model that in the parallel set-up, the Wiedemann-Franz law is violated between the longitudinal thermal and electrical conductivities due to chiral anomaly.

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Energy Magnetization and the Thermal Hall Effect

Cited by 194 publications

References 21 publications

Duality in topological superconductors and topological ferromagnetic insulators in a honeycomb lattice

Duality in topological superconductors and topological ferromagnetic insulators in a honeycomb lattice

Anomalous thermoelectric phenomena in lattice models of multi-Weyl semimetals

Nernst and magnetothermal conductivity in a lattice model of Weyl fermions

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