Lattice field theory with torsion

Imaki, Shota; Yamamoto, Arata

doi:10.1103/physrevd.100.054509

Cited by 27 publications

(28 citation statements)

References 25 publications

(43 reference statements)

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“…This effective action leads to a chiral current ej µ 5 = T 2 ε µνρσ e a ν ∂ ρ e σa /12, which is consistent with the current obtained from linear response calculations [30,31] and therefore provides additional confirmation on the validity of the anomaly action. The original action, Eq.…”

Section: Introduction-supporting

confidence: 82%

“…(4) has far-reaching physical consequences. Here we focus on the torsion-induced effects which have attracted significant attention recently [3,[5][6][7][8][24][25][26][27][28][29][30][31][32][33][34]. It has been shown that the torsion gives a contribution to the chiral anomaly [2] through the Nieh-Yan term [35], which in the absence of spin connection reads…”

Section: Introduction-mentioning

confidence: 99%

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Topological magnetotorsional effect in Weyl semimetals

Liang

Ojanen

2020

Phys. Rev. Research

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In this work we introduce a thermal magnetotorsional effect (TME) as a novel topological response in magnetic Weyl semimetals. We predict that magnetization gradients perpendicular to the Weyl node separation give rise to temperature gradients depending only on the local positions of the Weyl nodes. The TME is a consequence of magnetization-induced effective torsional spacetime geometry and the finite temperature Nieh-Yan anomaly. Similarly to anomalous Hall effect and chiral anomaly, the TME has a universal material-independent form. We predict that the TME can be observed in magnetic Weyl semimetal EuCd2As2.

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Section: Introduction-supporting

confidence: 82%

Section: Introduction-mentioning

confidence: 99%

Topological magnetotorsional effect in Weyl semimetals

Liang

Ojanen

2020

Phys. Rev. Research

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“…We calculate it as the trace involving the propagator, in a way similar to Ref. [45]. The perturbative expansion with respect to the screw torsion gives rise to…”

Section: A Zero Temperature and Densitymentioning

confidence: 99%

“…This idea is formulated in lattice field theory and buttressed by numerical computation in Ref. [45]. In condensed matter, torsion is realizable in diverse materials like graphene [46], topological insulators [47][48][49], and Weyl semimetals [50][51][52][53][54], where the deformation of the materials effectively acts as torsion.…”

Section: Introductionmentioning

confidence: 99%

Chiral torsional effect with finite temperature, density, and curvature

Imaki

Qiu

2020

Phys. Rev. D

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We scrutinize the novel chiral transport phenomenon driven by spacetime torsion, namely, the chiral torsional effect (CTE). We calculate the torsion-induced chiral currents with finite temperature, density, and curvature in the most general torsional gravity theory. The conclusion complements the previous study on the CTE by including curvature and substantiates the relation between the CTE and the Nieh-Yan anomaly. We also analyze the response of chiral torsional current to an external electromagnetic field. The resulting topological current is analogous to that in the axion electrodynamics.

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“…and check whether the dimensionless parameter γ can be universal. We now use the result obtained by Khaidukov and Zubkov [26] and Imaki and Yamamoto [27] for the finite temperature contribution to the chiral current. For single chiral (complex) fermion, one has for the chiral current…”

Section: Temperature Correction To the Nieh-yan Termmentioning

confidence: 99%

On Thermal Nieh-Yan Anomaly in Topological Weyl Materials

Nissinen

Volovik

2019

Jetp Lett.

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We discuss the possibility of a gravitional Nieh-Yan anomaly of the type ∂µj µ 5 = γT 2 T a ∧ Ta in topological Weyl materials, where T is temperature and T a is the effective or emergent torsion. As distinct from the nonuniversal parameter Λ in the conventional (zero temperature) Nieh-Yan anomaly -with canonical dimensions of momentum -the parameter γ is dimensionless. This suggests that the dimensionless parameter is fundamental, being determined by the geometry, topology and number of the number of chiral quantum fields without any explicit non-universal UV scales. This conforms with previous results in the literature, as well as spectral flow calculations using torsional magnetic field at finite temperature.

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Lattice field theory with torsion

Cited by 27 publications

References 25 publications

Topological magnetotorsional effect in Weyl semimetals

Topological magnetotorsional effect in Weyl semimetals

Chiral torsional effect with finite temperature, density, and curvature

On Thermal Nieh-Yan Anomaly in Topological Weyl Materials

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