Fermionic probes of local quantum criticality in one dimension
Fermionic probes of local quantum criticality in one dimension
We study the spectral functions of fermionic operators in 1+1 dimensional SU(N) Super Yang-Mills theory with 16 supercharges at finite density using the holographically dual D1-brane geometry. This system exhibits quasi-particle peaks indicating the existence of Fermi points about which excitations have a finite relaxation time, in contrast with the Tomonaga-Luttinger model. The finite width may be attributed to the non-trivial interactions of the probe operators with the background density matrix, modeled holographically as a charged black hole. We show that the fermionic correlators can in fact be deduced from known results for fermion probes of the charged AdS4 black hole background, owing to some remarkable coincidences in supergravity truncations.
hep-th, cond-mat.str-el, gr-qc
Rangamani, Mukund
c6e93885-0b7e-4e8c-92e5-56227da78a81
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
16 June 2011
Rangamani, Mukund
c6e93885-0b7e-4e8c-92e5-56227da78a81
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
Rangamani, Mukund and Withers, Benjamin
(2011)
Fermionic probes of local quantum criticality in one dimension.
Physical Review D, 84, [086003].
(doi:10.1103/PhysRevD.84.086003).
Abstract
We study the spectral functions of fermionic operators in 1+1 dimensional SU(N) Super Yang-Mills theory with 16 supercharges at finite density using the holographically dual D1-brane geometry. This system exhibits quasi-particle peaks indicating the existence of Fermi points about which excitations have a finite relaxation time, in contrast with the Tomonaga-Luttinger model. The finite width may be attributed to the non-trivial interactions of the probe operators with the background density matrix, modeled holographically as a charged black hole. We show that the fermionic correlators can in fact be deduced from known results for fermion probes of the charged AdS4 black hole background, owing to some remarkable coincidences in supergravity truncations.
Text
PhysRevD.84.086003
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Published date: 16 June 2011
Additional Information:
5 pages, 2 figures. v2: fixed typos and added refs. published version
Keywords:
hep-th, cond-mat.str-el, gr-qc
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Local EPrints ID: 455074
URI: http://eprints.soton.ac.uk/id/eprint/455074
ISSN: 1550-7998
PURE UUID: a9ab13e8-0bd6-4fd0-a9ba-e926eee3b830
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Date deposited: 08 Mar 2022 17:40
Last modified: 17 Mar 2024 02:27
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Author:
Mukund Rangamani
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