Skip navigation
Skip navigation

Quantum criticality of spinons

He, Feng; Jiang, Yuzhu; Yu, Yi-Cong; Lin, H.-Q.; Guan, Xi-Wen

Description

Magnon bound states emerging in one-dimensional (1D) spin chains still lack a rigorous understanding. In this Rapid Communication we show that the length-1 spin strings significantly dominate the critical properties of spinons, magnons, and free fermions in the 1D antiferromagnetic spin-1/2 chain. Using the Bethe ansatz solution, we analytically calculate the scaling functions of the thermal and magnetic properties of the model, providing a rigorous understanding of the quantum criticality of...[Show more]

dc.contributor.authorHe, Feng
dc.contributor.authorJiang, Yuzhu
dc.contributor.authorYu, Yi-Cong
dc.contributor.authorLin, H.-Q.
dc.contributor.authorGuan, Xi-Wen
dc.date.accessioned2021-09-08T03:54:38Z
dc.date.available2021-09-08T03:54:38Z
dc.identifier.issn1098-0121
dc.identifier.urihttp://hdl.handle.net/1885/247425
dc.description.abstractMagnon bound states emerging in one-dimensional (1D) spin chains still lack a rigorous understanding. In this Rapid Communication we show that the length-1 spin strings significantly dominate the critical properties of spinons, magnons, and free fermions in the 1D antiferromagnetic spin-1/2 chain. Using the Bethe ansatz solution, we analytically calculate the scaling functions of the thermal and magnetic properties of the model, providing a rigorous understanding of the quantum criticality of spinons. It turns out that the double maxima in specific heat elegantly mark two crossover temperatures fanning out from the critical point, indicating three quantum phases: the Tomonaga-Luttinger liquid (TLL), the quantum critical, and fully polarized ferromagnetic phases. For the TLL phase, the Wilson ratio RW=4Ks remains almost temperature independent, where Ks is the Luttinger parameter. Furthermore, by applying our results, we precisely determine the quantum scalings and critical exponents of all magnetic properties in the ideal 1D spin-1/2 antiferromagnet Cu(C4H4N2)(NO3)2, recently studied by Kono et al. [Phys. Rev. Lett. 114, 037202 (2015)PRLTAO0031-900710.1103/PhysRevLett.114.037202]. We further find that the magnetization maximum used in experiments is not a good quantity to map out the finite-temperature TLL phase boundary.
dc.format.mimetypeapplication/pdf
dc.language.isoen_AU
dc.publisherAmerican Physical Society
dc.rights©2017 American Physical Society
dc.sourcePhysical Review B: Condensed Matter and Materials
dc.titleQuantum criticality of spinons
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume96
dc.date.issued2017
local.identifier.absfor020699 - Quantum Physics not elsewhere classified
local.identifier.ariespublicationa383154xPUB9900
local.publisher.urlhttp://www.aps.org/
local.type.statusPublished Version
local.contributor.affiliationHe, Feng, Chinese Academy of Sciences
local.contributor.affiliationJiang, Yuzhu, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences
local.contributor.affiliationYu, Yi-Cong, Chinese Academy of Sciences
local.contributor.affiliationLin, H.-Q., Beijing Computational Science Research Center
local.contributor.affiliationGuan, Xi-Wen, College of Science, ANU
local.bibliographicCitation.issue22
local.identifier.doi10.1103/PhysRevB.96.220401
dc.date.updated2020-11-23T11:00:12Z
local.identifier.scopusID2-s2.0-85039437492
dcterms.accessRightsOpen Access
dc.provenancehttps://v2.sherpa.ac.uk/id/publication/13635..."published version can be made open access in institutional repository" from SHERPA/RoMEO site (as at 8/09/21).
CollectionsANU Research Publications

Download

File Description SizeFormat Image
01_He_Quantum_criticality_of_spinons_2017.pdf876.27 kBAdobe PDFThumbnail


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator