A. A. Vladimirov, D. Ihle, N. M. Plakida, “Dynamical Spin Susceptibility in the $t$–$J$ Model: The Memory Function Method”, TMF, 145:2 (2005), 240–255; Theoret. and Math. Phys., 145:2 (2005), 1576

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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 145, Number 2, Pages 240–255
DOI: https://doi.org/10.4213/tmf1899 (Mi tmf1899)

This article is cited in 22 scientific papers (total in 22 papers)

Dynamical Spin Susceptibility in the

t

$t$ –

J

$J$ Model: The Memory Function Method

A. A. Vladimirov^a, D. Ihle^b, N. M. Plakida^a

^a Joint Institute for Nuclear Research
^b Universität Leipzig

Full-text PDF (268 kB) Citations (22)

References:

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DOI: https://doi.org/10.4213/tmf1899

Abstract: Based on the method of the equations of motion for the relaxation function in terms of Hubbard operators, we evaluate the dynamical spin susceptibility for the

t

$t$ –

J

$J$ model in the paramagnetic phase. Using a Mori-type projection technique, we express the relaxation function in terms of the second-order memory function, which is evaluated in the approximation of coupled modes for hole excitations and spin fluctuations in the fourth order in the hopping parameter

t

$t$ and the exchange interaction

J

$J$ .

Keywords: strong electron correlations, dynamical spin susceptibility, high-temperature superconductivity,

t

$t$ –

J

$J$ model.

Received: 24.03.2005

English version:
Theoretical and Mathematical Physics, 2005, Volume 145, Issue 2, Pages 1576–1589
DOI: https://doi.org/10.1007/s11232-005-0184-9

Bibliographic databases:

Language: Russian

Citation: A. A. Vladimirov, D. Ihle, N. M. Plakida, “Dynamical Spin Susceptibility in the

t

$t$ –

J

$J$ Model: The Memory Function Method”, TMF, 145:2 (2005), 240–255; Theoret. and Math. Phys., 145:2 (2005), 1576–1589

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf1899

https://doi.org/10.4213/tmf1899

https://www.mathnet.ru/eng/tmf/v145/i2/p240

This publication is cited in the following 22 articles:

A. V. Mokshin, R. M. Khusnutdinoff, Ya. Z. Vilf, B. N. Galimzyanov, “Quasi-solid state microscopic dynamics in equilibrium classical liquids: Self-consistent relaxation theory”, Theoret. and Math. Phys., 206:2 (2021), 216–235
Plakida N.M., “Theory of Superconductivity and Spin Excitations in Cuprates”, Physica C, 549 (2018), 69–72
Vladimirov A.A., Ihle D., Plakida N.M., “Spin Excitations and Thermodynamics of the T-J Model on the Honeycomb Lattice”, Eur. Phys. J. B, 91:8 (2018), 195
Vladimirov A.A. Ihle D. Plakida N.M., “Spin excitations and thermodynamics of the antiferromagnetic Heisenberg model on the layered honeycomb lattice”, Eur. Phys. J. B, 90:3 (2017), 48
V. V. Val'kov, D. M. Dzebisashvili, “Dynamical magnetic susceptibility in the spin-fermion model for cuprate superconductors”, Theoret. and Math. Phys., 193:3 (2017), 1853–864
Plakida N.M., “Spin fluctuations and high-temperature superconductivity in cuprates”, Physica C, 531 (2016), 39–59
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
Das N. Bhalla P. Singh N., “Memory function approach to correlated electron transport: A comprehensive review”, Int. J. Mod. Phys. B, 30:23 (2016), 1630015
A. V. Mokshin, “Self-consistent approach to the description of relaxation processes in classical multiparticle systems”, Theoret. and Math. Phys., 183:1 (2015), 449–477
Artem A. Vladimirov, Dieter Ihle, Nikolay M. Plakida, “Magnetic order in the two-dimensional compass-Heisenberg model”, Eur. Phys. J. B, 88:6 (2015)
Nikolay M. Plakida, “Spin Fluctuations and High-Temperature Superconductivity in Cuprates”, J Supercond Nov Magn, 28:4 (2015), 1309
Vladimirov A.A. Ihle D. Plakida N.M., “Magnetic Susceptibility and Short-Range Order in Iron Pnictides: Anisotropic J(1)-J(2) Heisenberg Model”, Eur. Phys. J. B, 87:5 (2014), 112
A. V. Mokshin, A. V. Chvanova, R. M. Khusnutdinov, “Mode-coupling approximation in a fractional-power generalization: Particle dynamics in supercooled liquids and glasses”, Theoret. and Math. Phys., 171:1 (2012), 541–552
Nikolay M. Plakida, Springer Series in Solid-State Sciences, 171, Strongly Correlated Systems, 2012, 173
N. M. Plakida, “The two-time Green's function and the diagram technique”, Theoret. and Math. Phys., 168:3 (2011), 1303–1317
Vladimirov A.A., Ihle D., Plakida N.M., “Dynamic spin susceptibility of superconducting cuprates: A microscopic theory of the magnetic resonance mode”, Physical Review B, 83:2 (2011), 024411
Vladimirov, AA, “Dynamic spin susceptibility in the t-J model”, Physical Review B, 80:10 (2009), 104425
Ovchinnikov, SG, “Lifshits Quantum Phase Transitions and Rearrangement of the Fermi Surface upon a Change in the Hole Concentration in High-Temperature Superconductors”, Journal of Experimental and Theoretical Physics, 109:5 (2009), 775
Ž. Lj. Kovačević, V. S. Oudovenko, “Pauli spin susceptibility in the t-J model”, Phys. Part. Nuclei Lett., 5:5 (2008), 473
A. A. Vladimirov, D. Ihle, N. M. Plakida, “Static spin susceptibility in the $t$ – $J$ model”, Theoret. and Math. Phys., 152:3 (2007), 1331–1341

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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