Building magnetic hysteresis in holography

Kim, Kyung Kiu; Kim, Keun Young; Seo, Yunseok; Sin, Sang-Jin

doi:10.1007/jhep07(2019)158

Cited by 9 publications

(12 citation statements)

References 69 publications

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“…This phase transition is originated from Z 2 symmetry breaking associated with a scalar operator condensation at low temperature. The detailed discussion on this Z 2 symmetry breaking was provided in [25]. Since the only difference of the present model from the previous study is consideration of the linear-axion field which has nothing to do with the Z 2 symmetry, the discussion of [25] can be applied to this extended case.…”

Section: Jhep11(2021)046mentioning

confidence: 93%

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Impurity effect on hysteric magnetoconductance: holographic approach

Kim

Sin

et al. 2021

J. High Energ. Phys.

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In this paper we study a hysteric phase transition from weak localization phase to hysteric magnetoconductance phase using gauge/gravity duality. This hysteric phase is triggered by a spontaneous magnetization related to ℤ2 symmetry and time reversal symmetry in a 2+1 dimensional system with momentum relaxation. We derive thermoelectric conductivity formulas describing non-hysteric and hysteric phases. At low temperatures, this magnetoconductance shows similar phase transitions of topological insulator surface states. We also obtain hysteresis curves of Seebeck coefficient and Nernst signal. It turns out that our impurity parameter changes magnetic properties of the dual system. This is justified by showing increasing susceptibility and the spontaneous magnetization with increasing impurity parameter.

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Section: Jhep11(2021)046mentioning

confidence: 93%

“…Recently, we constructed a four-dimensional gravity model describing spontaneous magnetization and we obtained hysteric magnetization curves of the dual 2+1 dimensional system [25]. This model is suitable for describing magnetic property of two-dimensional surface material.…”

Section: Jhep11(2021)046mentioning

confidence: 99%

Impurity effect on hysteric magnetoconductance: holographic approach

Kim

Sin

et al. 2021

J. High Energ. Phys.

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“…( 249) is ∼ ⟨O⟩ρB, where ⟨O⟩ is the (spontaneous) condensate of the operator dual to φ. Thus, even without B the magnetization can be finite due to spontaneous Z 2 symmetry breaking [376]. If α increases, the magnetization increases so α can be interpreted as magnetic impurity.…”

Section: Topological Effectsmentioning

confidence: 99%

Holographic axion model: A simple gravitational tool for quantum matter

Baggioli

Kim

et al. 2021

Sci. China Phys. Mech. Astron.

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This is a complete and exhaustive review on the so-called holographic axion model-a bottom-up holographic system characterized by the presence of a set of shift symmetric scalar bulk fields whose profiles are taken to be linear in the spatial coordinates. This simple model implements the breaking of translational invariance of the dual field theory by retaining the homogeneity of the background geometry and therefore allowing for controllable and fast computations. The usages of this model are very vast and they are a proof of the spectacular versatility of the framework. In this review, we touch upon all the up-to-date aspects of this model from its connection with massive gravity and effective field theories, to its role in modeling momentum dissipation and elastic properties ending with all the phenomenological features and its hydrodynamic description. In summary, this is a complete guide to one of the most used models in Applied Holography and a must-read for any researcher entering this field.

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“…When this conserved quantity is evaluated in a particular solution of the theory, namely, a black hole solution, one obtains a Smarr relation [47]. This method has been successfully applied to several cases in the literature [48][49][50][51][52][53][54][55] for different theories. By following this procedure, we show that it is possible as well, to obtain a generalization of the Smarr formula for the BTZ black hole endowed with KdV-type boundary conditions.…”

Section: The Anisotropic Smarr Formula As a Radial Conservation Lawmentioning

confidence: 99%

BTZ black hole with Korteweg–de Vries-type boundary conditions: Thermodynamics revisited

2019

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The thermodynamic properties of the Bañados-Teitelboim-Zanelli (BTZ) black hole endowed with Korteweg-de Vries (KdV)-type boundary conditions are considered. This familiy of boundary conditions for General Relativity on AdS 3 is labeled by a nonnegative integer n, and gives rise to a dual theory which possesses anisotropic Lifshitz scaling invariance with dynamical exponent z = 2n + 1. We show that from the scale invariance of the action for stationary and circularly symmetric spacetimes, an anisotropic version of the Smarr relation arises, and we prove that it is totally consistent with the previously reported anisotropic Cardy formula. The set of KdV-type boundary conditions defines an unconventional thermodynamic ensemble, which leads to a generalized description of the thermal stability of the system. Finally, we show that at the self-dual temperature T s = 1 2π ( 1 z ) z z+1 , there is a Hawking-Page phase transition between the BTZ black hole and thermal AdS 3 spacetime. arXiv:1907.13026v2 [hep-th]

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Building magnetic hysteresis in holography

Cited by 9 publications

References 69 publications

Impurity effect on hysteric magnetoconductance: holographic approach

Impurity effect on hysteric magnetoconductance: holographic approach

Holographic axion model: A simple gravitational tool for quantum matter

BTZ black hole with Korteweg–de Vries-type boundary conditions: Thermodynamics revisited

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