Two-Dimensional Heisenberg Model with Spin s=1/2 and Antiferromagnetic Exchange Treated as a Spin Liquid

被引:7
作者
Kuz'min, E. V. [1 ]
机构
[1] Russian Acad Sci, LV Kirensky Phys Inst, Siberian Div, Krasnoyarsk 660036, Russia
基金
俄罗斯基础研究基金会;
关键词
Spectroscopy; Function Method; Correlation Length; Spin System; Singlet State;
D O I
10.1134/1.1485019
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
The spin system of the Heisenberg model (s = 1/2) on a square lattice with antiferromagnetic (AFM) exchange between nearest neighbors (in which there is no long-range magnetic order at any T not equal 0) is treated as a spatially homogeneous isotropic spin liquid. The double-time temperature Green's function method is used in the framework of a second-step decoupling scheme. It is shown that, as T -> 0, the spin liquid goes over (without any change in symmetry) to a singlet state with energy (per bond) epsilon(0) = -0.352 and the correlation length diverges as xi proportional to T-1 exp(T-0/T). The spatial spin correlators oscillate in sign with distance, as in the AFM state. The theory allows one to calculate the main characteristics of the system in all temperature ranges. (C) 2002 MAIK "Nauka/Interperiodica".
引用
收藏
页码:1122 / 1129
页数:8
相关论文
共 50 条
[21]   MODIFIED SPIN-WAVE THEORY OF QUASI-2-DIMENSIONAL HEISENBERG-ANTIFERROMAGNET [J].
SUZUKI, F ;
ISHII, C .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1993, 62 (10) :3686-3693
[22]   Probing Dynamics of a Two-Dimensional Dipolar Spin Ensemble Using Single Qubit Sensor [J].
Rezai, Kristine ;
Choi, Soonwon ;
Lukin, Mikhail D. ;
Sushkov, Alexander O. .
PHYSICAL REVIEW LETTERS, 2025, 134 (05)
[23]   Spin-Noise-Detected Two-Dimensional Nuclear Magnetic Resonance at Triple Sensitivity [J].
Ginthoer, Stephan J. ;
Chandra, Kousik ;
Bechmann, Matthias ;
Rodin, Victor V. ;
Mueller, Norbert .
CHEMPHYSCHEM, 2018, 19 (08) :907-912
[24]   Large Tunable Rashba Spin Splitting of a Two-Dimensional Electron Gas in Bi2Se3 [J].
King, P. D. C. ;
Hatch, R. C. ;
Bianchi, M. ;
Ovsyannikov, R. ;
Lupulescu, C. ;
Landolt, G. ;
Slomski, B. ;
Dil, J. H. ;
Guan, D. ;
Mi, J. L. ;
Rienks, E. D. L. ;
Fink, J. ;
Lindblad, A. ;
Svensson, S. ;
Bao, S. ;
Balakrishnan, G. ;
Iversen, B. B. ;
Osterwalder, J. ;
Eberhardt, W. ;
Baumberger, F. ;
Hofmann, Ph. .
PHYSICAL REVIEW LETTERS, 2011, 107 (09)
[25]   Spin depolarization and a metal-insulator transition in a two-dimensional system in zero magnetic field [J].
I. A. Shelykh ;
N. T. Bagraev ;
L. E. Klyachkin .
Physics of the Solid State, 2003, 45 :2189-2193
[26]   Spin-orbit interaction and two-dimensional weak localization in a carbon matrix with cobalt nanoclusters [J].
Bumai, YA ;
Bashmakov, IA ;
Lukashevich, SM ;
Tikhonova, TF ;
Lukashevich, MG .
PHYSICS OF THE SOLID STATE, 2005, 47 (02) :357-361
[27]   Spin-orbit interaction and two-dimensional weak localization in a carbon matrix with cobalt nanoclusters [J].
Yu. A. Bumai ;
I. A. Bashmakov ;
S. M. Lukashevich ;
T. F. Tikhonova ;
M. G. Lukashevich .
Physics of the Solid State, 2005, 47 :357-361
[28]   Anomalous Pressure Response of Temperature-Induced Spin Transition and a Pressure-Induced Spin Transition in Two-Dimensional Hofmann Coordination Polymers [J].
Li, Ruixin ;
Levchenko, Georgiy ;
Bartual-Murgui, Carlos ;
Fylymonov, Hennagii ;
Xu, Wei ;
Liu, Zhaodong ;
Li, Quanjun ;
Liu, Bingbing ;
Real, Jose Antonio .
INORGANIC CHEMISTRY, 2023, 63 (02) :1214-1224
[29]   Interchannel Hopping in Single Crystalline Lithium Triborate Probed by 7Li NMR: Spin Relaxation, Line Shape Analysis, Selective-Inversion Spin Alignment, and Two-Dimensional Exchange Spectra [J].
Storek, M. ;
Boehmer, R. .
JOURNAL OF PHYSICAL CHEMISTRY C, 2016, 120 (14) :7767-7777
[30]   Excitation of bond-alternating spin-1/2 Heisenberg chains by tunnelling electrons [J].
Gauyacq, J-P ;
Lorente, N. .
JOURNAL OF PHYSICS-CONDENSED MATTER, 2014, 26 (39)