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Thermodynamics, spin-charge separation, and correlation functions of spin-1/2 fermions with repulsive interaction

Lee, Jen; Guan, Xi-Wen; Sakai, Kazumitsu; Batchelor, Murray

Description

We investigate the low-temperature thermodynamics and correlation functions of one-dimensional spin-1/2 fermions with strong repulsion in an external magnetic field via the thermodynamic Bethe ansatz method. The exact thermodynamics of the model in a weak magnetic field is derived with the help of Wiener-Hopf techniques. It turns out that the low-energy physics can be described by spin-charge separated conformal field theories of an effective Tomonaga-Luttinger liquid and an antiferromagnetic...[Show more]

dc.contributor.authorLee, Jen
dc.contributor.authorGuan, Xi-Wen
dc.contributor.authorSakai, Kazumitsu
dc.contributor.authorBatchelor, Murray
dc.date.accessioned2015-12-10T23:07:47Z
dc.identifier.issn1098-0121
dc.identifier.urihttp://hdl.handle.net/1885/63009
dc.description.abstractWe investigate the low-temperature thermodynamics and correlation functions of one-dimensional spin-1/2 fermions with strong repulsion in an external magnetic field via the thermodynamic Bethe ansatz method. The exact thermodynamics of the model in a weak magnetic field is derived with the help of Wiener-Hopf techniques. It turns out that the low-energy physics can be described by spin-charge separated conformal field theories of an effective Tomonaga-Luttinger liquid and an antiferromagnetic SU(2) Heisenberg spin chain. However, these two types of conformally invariant low-lying excitations may break down as excitations take place far away from the Fermi points. The long distance asymptotics of the correlation functions and the critical exponents for the model in the presence of a magnetic field at zero temperature are derived in detail by solving dressed charge equations and by conformal mapping. Furthermore, we calculate the conformal dimensions for particular cases of correlation functions. The leading terms of these correlation functions are given explicitly for a weak magnetic field H 1 and for a magnetic field close to the critical field H→Hc. Our analytical results provide insights into universal thermodynamics and criticality in one-dimensional many-body physics.
dc.publisherAmerican Physical Society
dc.rightsAuthor/s retain copyright
dc.sourcePhysical Review B: Condensed Matter and Materials
dc.titleThermodynamics, spin-charge separation, and correlation functions of spin-1/2 fermions with repulsive interaction
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume85
dc.date.issued2012
local.identifier.absfor020601 - Degenerate Quantum Gases and Atom Optics
local.identifier.ariespublicationf5625xPUB760
local.type.statusPublished Version
local.contributor.affiliationLee, Jen, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationGuan, Xi-Wen, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationSakai, Kazumitsu, University of Tokyo
local.contributor.affiliationBatchelor, Murray, College of Physical and Mathematical Sciences, ANU
local.bibliographicCitation.issue8
local.identifier.doi10.1103/PhysRevB.85.085414
local.identifier.absseo970102 - Expanding Knowledge in the Physical Sciences
dc.date.updated2015-12-10T09:01:53Z
local.identifier.scopusID2-s2.0-84863238187
local.identifier.thomsonID000300090600004
dcterms.accessRightsOpen Access
CollectionsANU Research Publications

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