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Spin-1/2 XX Chains with Three-Spin Interactions

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Krokhmalskii T., Derzhko O., Verkholyak T., Stolze J.
Acta Physica Polonica A
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2008
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vol. 113
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issue 1
437-440
EN
We consider a spin-1/2 XX chain with three-spin interactions which is equivalent to a system of noninteracting spinless fermions.We examine some dynamic quantities of the spin model.In particular, we calculate analytically the dynamic transverse (zz) structure factor which is governed by a two-fermion excitation continuum. Moreover, we compute numerically the dynamic xx structure factor which is a many-fermion dynamic quantity.We illustrate how the three-spin interactions manifest themselves in the dynamic probes.
2
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Dynamic Correlations in a Random Spin-1/2 XY Chain

100%
Verkholyak T., Derzhko O., Krokhmalskii T., Stolze J.
Acta Physica Polonica A
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2008
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vol. 113
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issue 1
441-444
EN
We examine dynamic quantities of a random spin-1/2 isotropic XY chain in a transverse field. The randomness is related to the sign of the nearest-neighbor exchange interaction and can be eliminated by a suitable transformation. As a result, the dynamic quantities for the random spin chain are related to the same dynamic quantities for the homogeneous spin chain. We use the available results for the latter model to discuss the effect of randomness on the dynamic structure factors of the quantum spin chain.
3
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Quantum Heisenberg Antiferromagnet on Frustrated Bilayer Lattice in Strong Magnetic Fields

100%
Derzhko O., Krokhmalskii T., Richter J.
Acta Physica Polonica A
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2008
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vol. 113
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issue 1
433-436
EN
In the present paper we consider the low-temperature thermodynamic properties of the quantum Heisenberg antiferromagnet on the frustrated bilayer lattice in strong magnetic fields.Under certain conditions the isolated localized magnon states (singlets on vertical bonds;simultaneous occupation of neighboring vertical bonds is forbidden) are the ground states which dominate thermodynamics and induce a behavior inherent in the well known model of hard squares on a square lattice.We focus on magnetic properties discussing the magnetization and the susceptibility of the spin model.
4
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Dynamic Properties of Spin-1/2 XX Chain with Three-Site Interactions of (XZY - YZX)-Type

100%
Topilko M., Derzhko O., Krokhmalskii T.
Acta Physica Polonica A
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2011
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vol. 119
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issue 6
868-870
EN
We consider the spin-1/2 isotropic XY chain in a transverse field with three-site interactions of (XZY - YZX)-type, which can be transformed into a system of noninteracting spinless fermions. We study dynamic properties of the spin model. In particular, we calculate the dynamic structure factors which are governed by a two-fermion excitation continuum. We demonstrate how the three-site interactions manifest themselves in the dynamic properties of the quantum spin chain.
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