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3rd International Conference on Magnetism and Magnetic Materials

Rome, Italy

Elena V Ezerskaya

VN Karazin Kharkiv National University, Ukraine

Title: Low temperature properties of low-dimensional exactly solvable spin models with impurities

Biography

Biography: Elena V Ezerskaya

Abstract

This 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.