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Title: Heisenberg necklace model in a magnetic field

Abstract

Here, we study the low-energy sector of the Heisenberg necklace model. Using the field-theory 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 spin-1/2 Heisenberg chains in SrCuO 2 and Sr 2CuO 3 cuprates, which remain one-dimensional Luttinger liquids down to temperatures much lower than the in-chain 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 μBB>Λ we find two gapless bosonic modes that have different velocities, whose ratio at strong fields approaches a universal number, 2√+1.

Authors:
 [1];  [1]
  1. 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) (SC-22)
OSTI Identifier:
1336113
Alternate Identifier(s):
OSTI ID: 1307794
Report Number(s):
BNL-112559-2016-JA
Journal ID: ISSN 2469-9950; PRBMDO; R&D Project: PO015; PO010; KC0202030; KC0201060
Grant/Contract Number:  
SC00112704; AC02-98CH10886
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 94; Journal Issue: 7; Journal ID: ISSN 2469-9950
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 low-energy sector of the Heisenberg necklace model. Using the field-theory 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 spin-1/2 Heisenberg chains in SrCuO2 and Sr2CuO3 cuprates, which remain one-dimensional Luttinger liquids down to temperatures much lower than the in-chain 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}
}

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