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Volume 6
Research & Reviews: Journal of Material Sciences
ISSN: 2321-6212
Magnetic Materials 2018
October 22-23, 2018
October 22-23, 2018 | Rome, Italy
3
rd
International Conference on
Magnetism and Magnetic Materials
Low temperature properties of low-dimensional exactly solvable spin models with impurities
Elena V Ezerskaya
VN Karazin Kharkiv National University, Ukraine
T
his work is devoted to the theoretical study of quantum stationary states and thermodynamics of some exactly solvable
quantum models based on spin-1/2 XX-chain. Low-dimensional spin models occupy special place in quantum theory of
magnetism. Some of these systems may have exact analytical solutions. In our study we consider the spin chains with defects:
infinite XX-chain with impurity fragment, finite linear XX-chain with an additional ZZ (Ising) bond, two finite XX-chains,
connected through an additional ZZ spin, finite spin-1/2 XX-chain closed by one zz (Ising) bond and open ends XX-chain with
two zz-impurities at the both ends. For infinitive spin-1/2 XX-chain with impurity fragment in longitudinal magnetic field the
exact energy spectrum is found. This spectrum consists of the energy band, set of discrete levels, and may contain from one
up to four bound states localized on the boundaries of impurity fragment and main chain. We studied the critical behavior of
local static thermodynamic characteristics and time dependence of dynamical longitudinal correlation functions at different
temperatures. For finite XX-chain with Ising defects the localized levels near the impurity spin may exist in the spectrum. The
conditions for their appearance were found. The field and temperature dependences of some thermodynamic characteristics
of the models are studied. It is shown that the localized levels may effect noticeably on local thermodynamic characteristics.
Recent Publications
1. Cheranovskii V O and Ezerskaya E V (2013) U=∞ Hubbard model for 1D frustrated magnets. Croatica Chemica Acta
86:431-434.
2. Cheranovskii V O and Ezerskaya E V (2015) Magnetic properties of the infinite U Hubbard model on one-dimensional
frustrated lattices. Journal of Superconductivity and Novel Magnetism 28:773-776.
3. Ezerskaya E V (2017) The energy spectrum and thermodynamics of spin-1/2 XX chain with Ising impurities. Acta
Physica Polonica A131:928-930.
4. Cheranovskii V O, Ezerskaya E V, Klein D J and Tokarev V V (2017) Lowest energy states of Hubbard ladder model with
infinite electron repulsion. Computational and Theoretical Chemistry 1116:112–116.
5. Cheranovskii V O, Ezerskaya E V, Klein D J and Tokarev V V (2018) Finite size effects in anisotropic u = ∞ Hubbard
ladder rings. Journal of Superconductivity and Novel Magnetism 31:1369–1373.
Biography
Elena V Ezerskaya has completed her PhD in the year 1985 fromVN Karazin Kharkiv National University. She isAssociate Professor at the Theoretical Physics Department
of VN Karazin Kharkiv National University. She has published more than 30 papers in reputed journals. She is experienced university teacher and researcher in field of
Theoretical Physics for more the 30 years, supervisor of MS and PhD students.
yezerska@karazin.uaElena V Ezerskaya, Res. Rev. J Mat. Sci. 2018, Volume 6
DOI: 10.4172/2321-6212-C6-029