Unruh effect in vacua with anisotropic scaling: Applications to multilayer graphene

M. I. Katsnelson; G. E. Volovik; M. A. Zubkov

doi:10.1016/j.aop.2013.05.013

Unruh effect in vacua with anisotropic scaling: Applications to multilayer graphene

M. I. Katsnelson, G. E. Volovik, M. A. Zubkov

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11 Scopus citations

Abstract

We extend the calculation of the Unruh effect to the universality classes of quantum vacua obeying topologically protected invariance under anisotropic scaling r→br, t→b^zt. Two situations are considered. The first one is related to the accelerated detector which detects the electron-hole pairs. The second one is related to the system in external electric field, when the electron-hole pairs are created due to the Schwinger process. As distinct from the Unruh effect in relativistic systems (where z=1) the calculated radiation is not thermal, but has properties of systems in the vicinity of quantum criticality. The vacuum obeying anisotropic scaling can be realized, in particular, in multilayer graphene with the rhombohedral stacking. Opportunities of the experimental realization of the Unruh effect in this situation are discussed.

Original language	English
Pages (from-to)	36-55
Number of pages	20
Journal	Annals of Physics
Volume	336
DOIs	https://doi.org/10.1016/j.aop.2013.05.013
State	Published - Sep 2013
Externally published	Yes

Keywords

Bilayer
Graphene
Monolayer
Schwinger pair creation
Unruh effect

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10.1016/j.aop.2013.05.013

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title = "Unruh effect in vacua with anisotropic scaling: Applications to multilayer graphene",

abstract = "We extend the calculation of the Unruh effect to the universality classes of quantum vacua obeying topologically protected invariance under anisotropic scaling r→br, t→bzt. Two situations are considered. The first one is related to the accelerated detector which detects the electron-hole pairs. The second one is related to the system in external electric field, when the electron-hole pairs are created due to the Schwinger process. As distinct from the Unruh effect in relativistic systems (where z=1) the calculated radiation is not thermal, but has properties of systems in the vicinity of quantum criticality. The vacuum obeying anisotropic scaling can be realized, in particular, in multilayer graphene with the rhombohedral stacking. Opportunities of the experimental realization of the Unruh effect in this situation are discussed.",

keywords = "Bilayer, Graphene, Monolayer, Schwinger pair creation, Unruh effect",

author = "Katsnelson, {M. I.} and Volovik, {G. E.} and Zubkov, {M. A.}",

note = "Funding Information: M.A.Z. kindly acknowledges useful discussions with M. Lewkowicz, B. Rosenstein, and E. Akhmedov. This work was partly supported by RFBR grant 11-02-01227 , by Grant for Leading Scientific Schools 6260.2010.2 , and by the Federal Special-Purpose Programme {\textquoteleft}Cadres{\textquoteright} of the Russian Ministry of Science and Education . MIK acknowledges a financial support by FOM (the Netherlands). GEV acknowledges financial support by the EU 7th Framework Programme ( FP7/2007–2013 , grant #228464 Microkelvin) and by the Academy of Finland through its LTQ CoE grant (project #250280).",

year = "2013",

month = sep,

doi = "10.1016/j.aop.2013.05.013",

language = "אנגלית",

volume = "336",

pages = "36--55",

journal = "Annals of Physics",

issn = "0003-4916",

publisher = "Academic Press Inc.",

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TY - JOUR

T1 - Unruh effect in vacua with anisotropic scaling

T2 - Applications to multilayer graphene

AU - Katsnelson, M. I.

AU - Volovik, G. E.

AU - Zubkov, M. A.

N1 - Funding Information: M.A.Z. kindly acknowledges useful discussions with M. Lewkowicz, B. Rosenstein, and E. Akhmedov. This work was partly supported by RFBR grant 11-02-01227 , by Grant for Leading Scientific Schools 6260.2010.2 , and by the Federal Special-Purpose Programme ‘Cadres’ of the Russian Ministry of Science and Education . MIK acknowledges a financial support by FOM (the Netherlands). GEV acknowledges financial support by the EU 7th Framework Programme ( FP7/2007–2013 , grant #228464 Microkelvin) and by the Academy of Finland through its LTQ CoE grant (project #250280).

PY - 2013/9

Y1 - 2013/9

N2 - We extend the calculation of the Unruh effect to the universality classes of quantum vacua obeying topologically protected invariance under anisotropic scaling r→br, t→bzt. Two situations are considered. The first one is related to the accelerated detector which detects the electron-hole pairs. The second one is related to the system in external electric field, when the electron-hole pairs are created due to the Schwinger process. As distinct from the Unruh effect in relativistic systems (where z=1) the calculated radiation is not thermal, but has properties of systems in the vicinity of quantum criticality. The vacuum obeying anisotropic scaling can be realized, in particular, in multilayer graphene with the rhombohedral stacking. Opportunities of the experimental realization of the Unruh effect in this situation are discussed.

AB - We extend the calculation of the Unruh effect to the universality classes of quantum vacua obeying topologically protected invariance under anisotropic scaling r→br, t→bzt. Two situations are considered. The first one is related to the accelerated detector which detects the electron-hole pairs. The second one is related to the system in external electric field, when the electron-hole pairs are created due to the Schwinger process. As distinct from the Unruh effect in relativistic systems (where z=1) the calculated radiation is not thermal, but has properties of systems in the vicinity of quantum criticality. The vacuum obeying anisotropic scaling can be realized, in particular, in multilayer graphene with the rhombohedral stacking. Opportunities of the experimental realization of the Unruh effect in this situation are discussed.

KW - Bilayer

KW - Graphene

KW - Monolayer

KW - Schwinger pair creation

KW - Unruh effect

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DO - 10.1016/j.aop.2013.05.013

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AN - SCOPUS:84879588993

SN - 0003-4916

VL - 336

SP - 36

EP - 55

JO - Annals of Physics

JF - Annals of Physics

ER -

Unruh effect in vacua with anisotropic scaling: Applications to multilayer graphene

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