Magnetotransport and complexity of holographic metal-insulator transitions

Bibliographic Details
Title: Magnetotransport and complexity of holographic metal-insulator transitions
Authors: Yu-Sen An, Teng Ji, Li Li
Source: Journal of High Energy Physics, Vol 2020, Iss 10, Pp 1-37 (2020)
Publisher Information: SpringerOpen, 2020.
Publication Year: 2020
Collection: LCC:Nuclear and particle physics. Atomic energy. Radioactivity
Subject Terms: Gauge-gravity correspondence, Holography and condensed matter physics (AdS/CMT), Nuclear and particle physics. Atomic energy. Radioactivity, QC770-798
More Details: Abstract 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 T 0, which approaches zero at some critical charge density ρ c , and increases as a power law T 0 ∼ |ρ − ρ c | 1/2 both in metallic (ρ > ρ c ) and insulating (ρ < ρ c ) 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.
Document Type: article
File Description: electronic resource
Language: English
ISSN: 1029-8479
Relation: http://link.springer.com/article/10.1007/JHEP10(2020)023; https://doaj.org/toc/1029-8479
DOI: 10.1007/JHEP10(2020)023
Access URL: https://doaj.org/article/ca0db8e837834896822e33c75dc3d7ce
Accession Number: edsdoj.0db8e837834896822e33c75dc3d7ce
Database: Directory of Open Access Journals
More Details
ISSN:10298479
DOI:10.1007/JHEP10(2020)023
Published in:Journal of High Energy Physics
Language:English