Heisenberg necklace model in a magnetic field
Abstract
Here, we study the lowenergy sector of the Heisenberg necklace model. Using the fieldtheory methods, we estimate how the coupling of the electronic spins with the paramagnetic Kondo spins affects the overall spin dynamics and evaluate its dependence on a magnetic field. We are motivated by the experimental realizations of the spin1/2 Heisenberg chains in SrCuO _{2} and Sr _{2}CuO _{3} cuprates, which remain onedimensional Luttinger liquids down to temperatures much lower than the inchain exchange coupling J. We also consider the perturbation of the energy spectrum caused by the interaction γ with nuclear spins (I=3/2) present on the same sites. We find that the resulting necklace model has a characteristic energy scale, Λ~J ^{1/3}(γI) ^{2/3}, at which the coupling between (nuclear) spins of the necklace and the spins of the Heisenberg chain becomes strong. Furthermore, this energy scale is insensitive to a magnetic field B. For _{μB}B>Λ we find two gapless bosonic modes that have different velocities, whose ratio at strong fields approaches a universal number, 2√+1.
 Authors:

 Brookhaven National Lab. (BNL), Upton, NY (United States). Condensed Matter Physics and Materials Science Division
 Publication Date:
 Research Org.:
 Brookhaven National Lab. (BNL), Upton, NY (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22)
 OSTI Identifier:
 1336113
 Alternate Identifier(s):
 OSTI ID: 1307794
 Report Number(s):
 BNL1125592016JA
Journal ID: ISSN 24699950; PRBMDO; R&D Project: PO015; PO010; KC0202030; KC0201060
 Grant/Contract Number:
 SC00112704; AC0298CH10886
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review B
 Additional Journal Information:
 Journal Volume: 94; Journal Issue: 7; Journal ID: ISSN 24699950
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Tsvelik, A. M., and Zaliznyak, I. A. Heisenberg necklace model in a magnetic field. United States: N. p., 2016.
Web. doi:10.1103/PhysRevB.94.075152.
Tsvelik, A. M., & Zaliznyak, I. A. Heisenberg necklace model in a magnetic field. United States. doi:10.1103/PhysRevB.94.075152.
Tsvelik, A. M., and Zaliznyak, I. A. Fri .
"Heisenberg necklace model in a magnetic field". United States. doi:10.1103/PhysRevB.94.075152. https://www.osti.gov/servlets/purl/1336113.
@article{osti_1336113,
title = {Heisenberg necklace model in a magnetic field},
author = {Tsvelik, A. M. and Zaliznyak, I. A.},
abstractNote = {Here, we study the lowenergy sector of the Heisenberg necklace model. Using the fieldtheory methods, we estimate how the coupling of the electronic spins with the paramagnetic Kondo spins affects the overall spin dynamics and evaluate its dependence on a magnetic field. We are motivated by the experimental realizations of the spin1/2 Heisenberg chains in SrCuO2 and Sr2CuO3 cuprates, which remain onedimensional Luttinger liquids down to temperatures much lower than the inchain exchange coupling J. We also consider the perturbation of the energy spectrum caused by the interaction γ with nuclear spins (I=3/2) present on the same sites. We find that the resulting necklace model has a characteristic energy scale, Λ~J1/3(γI)2/3, at which the coupling between (nuclear) spins of the necklace and the spins of the Heisenberg chain becomes strong. Furthermore, this energy scale is insensitive to a magnetic field B. For μBB>Λ we find two gapless bosonic modes that have different velocities, whose ratio at strong fields approaches a universal number, 2√+1.},
doi = {10.1103/PhysRevB.94.075152},
journal = {Physical Review B},
number = 7,
volume = 94,
place = {United States},
year = {2016},
month = {8}
}
Web of Science
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