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원자제어 저차원 전자계 연구단
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Emergent geometric description for a topological phase transition in the Kitaev superconductor model

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Title
Emergent geometric description for a topological phase transition in the Kitaev superconductor model
Author(s)
Ki-Seok Kim; Miok Park; Jaeyoon Cho; Chanyong Park
Publication Date
2017-10
Journal
PHYSICAL REVIEW D, v.96, no.8, pp.086015 -
Publisher
American Physical Society
Abstract
Resorting to Wilsonian renormalization group (RG) transformations, we propose an emergent geometric description for a topological phase transition in the Kitaev superconductor model. An effective field theory consists of an emergent bulk action with an extra dimension, an ultraviolet (UV) boundary condition for an initial value of a coupling function, and an infrared (IR) effective action with a fully renormalized coupling function. The bulk action describes the evolution of the coupling function along the direction of the extra dimension, where the extra dimension is identified with an RG scale and the resulting equation of motion is nothing but a β function. In particular, the IR effective field theory turns out to be consistent with a Callan-Symanzik equation which takes into account both the bulk and IR boundary contributions. This derived Callan-Symanzik equation gives rise to a metric structure. Based on this emergent metric tensor, we uncover the equivalence of the entanglement entropy between the emergent geometric description and the quantum field theory in the vicinity of the quantum critical point. © 2017 American Physical Society
URI
http://pr.ibs.re.kr/handle/8788114/4060
DOI
10.1103/PhysRevD.96.086015
ISSN
2470-0010
Appears in Collections:
Center for Artificial Low Dimensional Electronic Systems(원자제어 저차원 전자계 연구단) > Journal Papers (저널논문)
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