Abstract:
Based on the equation-of-motion method for the relaxation function expressed
in terms of Hubbard operators, we evaluate the static spin susceptibility and
correlation functions in the two-dimensional t–J model. We show that
at zero temperature, a long-range antiferromagnetic order exists in
the lattice for the hole concentration δ<δc≃0.018.
The calculated dependences of the spin susceptibility and correlation length on
the temperature and hole concentration agree qualitatively with the experiment.
Keywords:
strong electron correlation, spin susceptibility, high-temperature superconductivity, t–J model.
Citation:
A. A. Vladimirov, D. Ihle, N. M. Plakida, “Static spin susceptibility in the t–J model”, TMF, 152:3 (2007), 538–550; Theoret. and Math. Phys., 152:3 (2007), 1331–1341
This publication is cited in the following 10 articles:
V. V. Val'kov, D. M. Dzebisashvili, M. M. Korovushkin, A. F. Barabanov, “Spin-polaron concept in the theory of normal and superconducting states of cuprates”, Phys. Usp., 64:7 (2021), 641–670
V. A. Mitskan, M. M. Korovushkin, D. M. Dzebisashvili, “Implementation of the concept of spin polaron in cuprate superconductors within the diagram technique”, JETP Letters, 114:5 (2021), 289–295
Pelayo J.C., Yanga D.M., “Linked Cluster Theory in the Spin Polaron Problem”, Int. J. Mod. Phys. B, 33:7 (2019), 1950044
V. V. Val'kov, D. M. Dzebisashvili, A. F. Barabanov, “Spin-polaron nature of fermion quasiparticles and their $d$-wave pairing in cuprate superconductors”, JETP Letters, 104:10 (2016), 730–741
Bhattacharjee S. Chaudhury R., “Calculation of generalized spin stiffness constant of strongly correlated doped quantum antiferromagnet on two-dimensional lattice and it?s application to effective exchange constant for semi-itinerant systems”, Physica B, 500 (2016), 133–141
Val'kov V.V., Dzebisashvili D.M., Barabanov A.F., “Origin of the Spin Polaron Quasiparticles and Their Cooper Instability in High-T c Superconductors”, J. Supercond. Nov. Magn, 29:4 (2016), 1049–1055
Val'kov V.V. Dzebisashvili D.M. Barabanov A.F., “D-Wave Pairing in An Ensemble of Spin Polaron Quasiparticles in the Spin-Fermion Model of the Electronic Structure of the Cuo2 Plane”, Phys. Lett. A, 379:5 (2015), 421–426
Val'kov V.V. Dzebisashvili D.M. Barabanov A.F., “Effect of the Concentration-Dependent Spin-Charge Correlations on the Evolution of the Energy Structure of the 2D Emery Model”, J. Exp. Theor. Phys., 118:6 (2014), 959–970
V. V. Val'kov, “Kinematic mechanism of the modulation of the spectral intensity in the spatially uniform system of Hubbard fermions”, JETP Letters, 94:3 (2011), 197–201
Vladimirov A.A., Plakida N.M., “Dynamic spin susceptibility in the $t$-$J$ model”, Phys. Rev. B, 80:10 (2009), 104425, 12 pp.