Quantum Monte Carlo study of weakly coupled spin ladders
Abstract
We report a quantum Monte Carlo study of the thermodynamic properties of arrays of spin ladders with various widths (n), coupled via a weak interladder exchange coupling {alpha}J, where {ital J} is the intraladder coupling both along and between the chains. This coupled ladder system serves as a simplified model for the magnetism of presumed ordered spin and charge stripes in the twodimensional CuO{sub 2} planes of holedoped copper oxides. Our results for n=3 with weak interladder coupling {alpha}=0.05, estimated from the tt{sup {prime}}t{sup {double_prime}}J model, show good agreement with the ordering temperature of the recently observed spindensitywave condensation in La{sub 2}CuO{sub 4+y}. We show that there exists a quantum critical point at {alpha}{sub c}{approx_equal}0.07 for n=4, and determine the phase diagram. Our data at this quantum critical point agree quantitatively with the universal scaling predicted by the quantum nonlinear {sigma} model. We also report results on random mixtures of n=2 and n=3 ladders, which correspond to the doping region near but above 1/8. Our study of the magnetic static structure factor reveals a saturation of the incommensurability of the spin correlations around 1/8, while the incommensurability of the charge stripes grows linearly with hole concentration. The implications of thismore »
 Authors:

 Division of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138 (United States)
 Department of Physics and Center for Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
 Department of Physics, Tohoku University, Sendai 9808578 (Japan)
 Department of Physics, Brookhaven National Laboratory, Upton, New York 11973 (United States)
 Institute for Chemical Research, Kyoto University, Gokasho, Uji 6100011 (Japan)
 Publication Date:
 OSTI Identifier:
 357301
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review, B: Condensed Matter
 Additional Journal Information:
 Journal Volume: 60; Journal Issue: 5; Other Information: PBD: Aug 1999
 Country of Publication:
 United States
 Language:
 English
 Subject:
 66 PHYSICS; THERMODYNAMICS; SPIN; MONTE CARLO METHOD; QUANTUM MECHANICS; COPPER OXIDES; LANTHANUM OXIDES; SPIN WAVES; HIGHTC SUPERCONDUCTORS; EXCHANGE INTERACTIONS; ELECTRON EXCHANGE; FLUCTUATIONS
Citation Formats
Kim, Y J, Center for Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, Birgeneau, R J, Kastner, M A, Lee, Y S, Endoh, Y, Shirane, G, and Yamada, K. Quantum Monte Carlo study of weakly coupled spin ladders. United States: N. p., 1999.
Web. doi:10.1103/PhysRevB.60.3294.
Kim, Y J, Center for Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, Birgeneau, R J, Kastner, M A, Lee, Y S, Endoh, Y, Shirane, G, & Yamada, K. Quantum Monte Carlo study of weakly coupled spin ladders. United States. https://doi.org/10.1103/PhysRevB.60.3294
Kim, Y J, Center for Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, Birgeneau, R J, Kastner, M A, Lee, Y S, Endoh, Y, Shirane, G, and Yamada, K. Sun .
"Quantum Monte Carlo study of weakly coupled spin ladders". United States. https://doi.org/10.1103/PhysRevB.60.3294.
@article{osti_357301,
title = {Quantum Monte Carlo study of weakly coupled spin ladders},
author = {Kim, Y J and Center for Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 and Birgeneau, R J and Kastner, M A and Lee, Y S and Endoh, Y and Shirane, G and Yamada, K},
abstractNote = {We report a quantum Monte Carlo study of the thermodynamic properties of arrays of spin ladders with various widths (n), coupled via a weak interladder exchange coupling {alpha}J, where {ital J} is the intraladder coupling both along and between the chains. This coupled ladder system serves as a simplified model for the magnetism of presumed ordered spin and charge stripes in the twodimensional CuO{sub 2} planes of holedoped copper oxides. Our results for n=3 with weak interladder coupling {alpha}=0.05, estimated from the tt{sup {prime}}t{sup {double_prime}}J model, show good agreement with the ordering temperature of the recently observed spindensitywave condensation in La{sub 2}CuO{sub 4+y}. We show that there exists a quantum critical point at {alpha}{sub c}{approx_equal}0.07 for n=4, and determine the phase diagram. Our data at this quantum critical point agree quantitatively with the universal scaling predicted by the quantum nonlinear {sigma} model. We also report results on random mixtures of n=2 and n=3 ladders, which correspond to the doping region near but above 1/8. Our study of the magnetic static structure factor reveals a saturation of the incommensurability of the spin correlations around 1/8, while the incommensurability of the charge stripes grows linearly with hole concentration. The implications of this result for the interpretation of neutronscattering experiments on the dynamic spin fluctuations in La{sub 2{minus}x}Sr{sub x}CuO{sub 4} are discussed. {copyright} {ital 1999} {ital The American Physical Society}},
doi = {10.1103/PhysRevB.60.3294},
url = {https://www.osti.gov/biblio/357301},
journal = {Physical Review, B: Condensed Matter},
number = 5,
volume = 60,
place = {United States},
year = {1999},
month = {8}
}