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Quantum Phase Transitions and Finite Size Effects in Frustrated Two-Leg Spin Ladders

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Abstract

We studied the ground state properties of frustrated two-leg ladders in the framework of Heisenberg model. We considered the models of these ladders with all site spins s = 1/2 and the models with different values of spins on neighbor rungs. We found a quantum phase transition mediated by the value of the interactions between the neighbor rungs. For finite-size fragments, we also found a strong dependence of the ground state spin ordering on the size of these fragments. The region of model parameters which is characterized by such strong dependence was established numerically.

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Authors and Affiliations

  1. B.Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Nauky Ave., Kharkiv, 61103, Ukraine

    V. V. Slavin

  2. V.N. Karazin Kharkiv National University, Svoboda Sq.4, Kharkiv, 61022, Ukraine

    V. O. Cheranovskii

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  1. V. V. Slavin
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  2. V. O. Cheranovskii
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Slavin, V.V., Cheranovskii, V.O. Quantum Phase Transitions and Finite Size Effects in Frustrated Two-Leg Spin Ladders. J Low Temp Phys 206, 182–190 (2022). https://doi.org/10.1007/s10909-021-02653-0

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  • DOI: https://doi.org/10.1007/s10909-021-02653-0

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