2009
Jiang, H. C.; Kruger, F.; Moore, J. E.; Sheng, D. N.; Zaanen, J.; Weng, Z. Y.
Phase diagram of the frustrated spatially-anisotropic S=1 antiferromagnet on a square lattice Tijdschriftartikel
In: PHYSICAL REVIEW B, vol. 79, nr. 17, 2009, ISSN: 2469-9950.
Abstract | Links | BibTeX | Tags: antiferromagnetism; frustration; Heisenberg model; magnetic anisotropy; magnetic transitions; paramagnetic-antiferromagnetic transitions; renormalisation
@article{WOS:000266501100062,
title = {Phase diagram of the frustrated spatially-anisotropic S=1
antiferromagnet on a square lattice},
author = {H. C. Jiang and F. Kruger and J. E. Moore and D. N. Sheng and J. Zaanen and Z. Y. Weng},
doi = {10.1103/PhysRevB.79.174409},
issn = {2469-9950},
year = {2009},
date = {2009-05-01},
journal = {PHYSICAL REVIEW B},
volume = {79},
number = {17},
publisher = {AMER PHYSICAL SOC},
address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA},
abstract = {We study the S=1 square lattice Heisenberg antiferromagnet with
spatially anisotropic nearest-neighbor couplings J(1x) and J(1y)
frustrated by a next-nearest-neighbor coupling J(2) numerically using
the density-matrix renormalization-group (DMRG) method and analytically
employing the Schwinger-Boson mean-field theory (SBMFT). Up to
relatively strong values of the anisotropy, within both methods we find
quantum fluctuations to stabilize the Neel-ordered state above the
classically stable region. Whereas SBMFT suggests a fluctuation-induced
first-order transition between the Neel state and a stripe antiferromagnet for 1/3 <= J(1x)/J(1y)<= 1 and an intermediate
paramagnetic region opening only for very strong anisotropy, the DMRG
results clearly demonstrate that the two magnetically ordered phases are
separated by a quantum-disordered region for all values of the
anisotropy with the remarkable implication that the quantum paramagnetic
phase of the spatially isotropic J(1)-J(2) model is continuously
connected to the limit of decoupled Haldane spin chains. Our findings indicate that for S=1 quantum fluctuations in strongly frustrated
antiferromagnets are crucial and not correctly treated on the
semiclassical level.},
keywords = {antiferromagnetism; frustration; Heisenberg model; magnetic anisotropy; magnetic transitions; paramagnetic-antiferromagnetic transitions; renormalisation},
pubstate = {published},
tppubtype = {article}
}
We study the S=1 square lattice Heisenberg antiferromagnet with
spatially anisotropic nearest-neighbor couplings J(1x) and J(1y)
frustrated by a next-nearest-neighbor coupling J(2) numerically using
the density-matrix renormalization-group (DMRG) method and analytically
employing the Schwinger-Boson mean-field theory (SBMFT). Up to
relatively strong values of the anisotropy, within both methods we find
quantum fluctuations to stabilize the Neel-ordered state above the
classically stable region. Whereas SBMFT suggests a fluctuation-induced
first-order transition between the Neel state and a stripe antiferromagnet for 1/3 <= J(1x)/J(1y)<= 1 and an intermediate
paramagnetic region opening only for very strong anisotropy, the DMRG
results clearly demonstrate that the two magnetically ordered phases are
separated by a quantum-disordered region for all values of the
anisotropy with the remarkable implication that the quantum paramagnetic
phase of the spatially isotropic J(1)-J(2) model is continuously
connected to the limit of decoupled Haldane spin chains. Our findings indicate that for S=1 quantum fluctuations in strongly frustrated
antiferromagnets are crucial and not correctly treated on the
semiclassical level.
spatially anisotropic nearest-neighbor couplings J(1x) and J(1y)
frustrated by a next-nearest-neighbor coupling J(2) numerically using
the density-matrix renormalization-group (DMRG) method and analytically
employing the Schwinger-Boson mean-field theory (SBMFT). Up to
relatively strong values of the anisotropy, within both methods we find
quantum fluctuations to stabilize the Neel-ordered state above the
classically stable region. Whereas SBMFT suggests a fluctuation-induced
first-order transition between the Neel state and a stripe antiferromagnet for 1/3 <= J(1x)/J(1y)<= 1 and an intermediate
paramagnetic region opening only for very strong anisotropy, the DMRG
results clearly demonstrate that the two magnetically ordered phases are
separated by a quantum-disordered region for all values of the
anisotropy with the remarkable implication that the quantum paramagnetic
phase of the spatially isotropic J(1)-J(2) model is continuously
connected to the limit of decoupled Haldane spin chains. Our findings indicate that for S=1 quantum fluctuations in strongly frustrated
antiferromagnets are crucial and not correctly treated on the
semiclassical level.