Holographic topological semimetals

Landsteiner, Karl; Liu, Yan; Sun, Ya-Wen

doi:10.1007/s11433-019-1477-7

Cited by 42 publications

(33 citation statements)

References 96 publications

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“…So it should be careful if one wants to consider pseudo-spontaneous regime where m 2 1 and β m 2 for a non-trivial Y (X). 8 In contrast, for the case without magnetic field, the inequality (3.12) is satisfied automatically since k 0. Thus one is not able to obtain any constraint from (3.12) when B = 0.…”

Section: )mentioning

confidence: 98%

“…The key message is that by taking into account magnetic field, we are able to give a generic constraint on k, without referring to the non-linear details of the coupling functions Y and V . 8 To obtain the constraint (3.13), we have only considered a very generic expansion (3.6) and demanded σ xx 0 in the weak disorder limit. As one can see from (3.1) and (3.2) that the behaviors of the magnetotransport depend on the details of couplings in a theory.…”

Section: )mentioning

confidence: 99%

“…It has seen an increasing interest in applying the techniques of holography to probe the rich structure of strongly coupled quantum phases of matter, see e.g. [6][7][8][9] for reviews in the context of condensed matter applications. Of particular interest are the transport properties as a function of temperature and other parameters, such as charge density and magnetic field.…”

Section: Introductionmentioning

confidence: 99%

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Magnetotransport and complexity of holographic metal-insulator transitions

2020

J. High Energ. Phys.

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We study the magnetotransport in a minimal holographic setup of a metal- insulator transition in two spatial dimensions. Some generic features are obtained without referring to the non-linear details of the holographic theory. The temperature dependence of resistivity is found to be well scaled with a single parameter T0, which approaches zero at some critical charge density ρc, and increases as a power law T0∼ |ρ − ρc|1/2 both in metallic (ρ > ρc) and insulating (ρ < ρc) regions in the vicinity of the transition. Similar features also happen by changing the disorder strength as well as magnetic field. By requiring a positive definite longitudinal conductivity in the presence of an applied magnetic field restricts the allowed parameter space of theory parameters. We explicitly check the consistency of parameter range for two representative models, and compute the optical conductivities for both metallic and insulating phases, from which a disorder- induced transfer of spectral weight from low to high energies is manifest. We construct the phase diagram in terms of temperature and disorder strength. The complexity during the transition is studied and is found to be not a good probe to the metal-insulator transition.

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Section: )mentioning

confidence: 98%

Section: )mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Magnetotransport and complexity of holographic metal-insulator transitions

2020

J. High Energ. Phys.

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“…Holography has been applied to the study of the topological nature in Weyl semimetals [7] and nodal line semimetals [8,9] which uncovered lots of novel properties of topological semimetals at strong coupling [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. See [26] for a recent review on this topic.…”

Section: Jhep05(2021)141mentioning

confidence: 99%

An improved holographic nodal line semimetal

Liu

2021

J. High Energ. Phys.

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We study an improved holographic model for the strongly coupled nodal line semimetal which satisfies the duality relation between the rank two tensor operators $$ \overline{\psi}{\gamma}^{\mu v}\psi $$ ψ ¯ γ μv ψ and $$ \overline{\psi}{\gamma}^{\mu v}{\gamma}^5\psi $$ ψ ¯ γ μv γ 5 ψ . We introduce a Chern-Simons term and a mass term in the bulk for a complex two form field which is dual to the above tensor operators and the duality relation is automatically satisfied from holography. We find that there exists a quantum phase transition from a topological nodal line semimetal phase to a trivial phase. In the topological phase, there exist multiple nodal lines in the fermionic spectrum which are topologically nontrivial. The bulk geometries are different from the previous model without the duality constraint, while the resulting properties are qualitatively similar to those in that model. This improved model provides a more natural ground to analyze transports or other properties of strongly coupled nodal line semimetals.

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“…Other aspects of the holographic Weyl semimetal have been explored in [26][27][28][29][30][31][32][33]. A recent review on the holographic Weyl semimetals can be found in [34].…”

Section: Introductionmentioning

confidence: 99%