Diving inside holographic metals

We investigate the gravitational dual of a fermionic field theory at finite temperature and charge density in two spatial dimensions, subject to a deformation by a relevant scalar operator. This makes a (3 + 1)-dimensional Einstein-Maxwell system coupled to a free fermion fluid, known as an electron...

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Detalhes bibliográficos
Autores: Carballo, J., Patra, A.K., Pedraza, J.F.
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:dnet:digitalcsic_::1a1e46a6d8714d587816f86b404618bf
Acesso em linha:http://hdl.handle.net/10261/427547
https://www.scopus.com/inward/record.uri?eid=2-s2.0-105004853021&doi=10.1007%2FJHEP05%282025%29072&partnerID=40&md5=7f67e6ac121975f084d090816280d3c3
Access Level:acceso abierto
Palavra-chave:AdS-CFT Correspondence
Black Holes
Black Holes in String Theory
Holography and Condensed Matter Physics (AdS/CMT)
Descrição
Resumo:We investigate the gravitational dual of a fermionic field theory at finite temperature and charge density in two spatial dimensions, subject to a deformation by a relevant scalar operator. This makes a (3 + 1)-dimensional Einstein-Maxwell system coupled to a free fermion fluid, known as an electron cloud, undergo a holographic renormalization group flow. The inner (Cauchy) horizon is destroyed and the near-singularity metric instead adopts the form of a positive-pt Kasner cosmology, signaling the collapse of the Einstein-Rosen bridge. Previous studies have suggested that this collapse hinders direct probing of the singularity. Nonetheless, we propose and compute several CFT observables that characterize the interior and near-singularity geometries. These include the thermal a-function, which decays with a specific power of pt as nearly all CFT degrees of freedom are integrated out, and two-point correlators for neutral and charged operators, with the latter directly probing the singularity despite the positive-pt. We also calculate characteristic velocities related to entanglement and complexity growth in the time-evolved thermofield double state, as well as the butterfly effect indicative of operator spreading. Notably, the deformed electron cloud features a Lifshitz IR fixed point and an additional Kasner trans-IR fixed point, absent in neutral RG flows. © The Author(s) 2025.