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1
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One-Dimensional Tasaki-Hubbard Model in Paramagnetic Limit

100%
Baliha V., Richter J., Derzhko O.
Acta Physica Polonica A
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2017
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vol. 132
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issue 4
1256-1260
EN
The one-dimensional Tasaki-Hubbard model belongs to the class of flat-band ferromagnets. By introducing an infinitesimally small external magnetic field, we examine the properties of the model in the paramagnetic regime. We compare and contrast them to the properties of the conventional Curie paramagnet.
2
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Localized-Magnon Chains and Interchain Interactions

100%
Krupnitska O., Richter J., Derzhko O.
Acta Physica Polonica A
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2017
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vol. 132
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issue 4
1234-1237
EN
We consider the spin-1/2 antiferromagnetic XXZ Heisenberg model on a two-dimensional network of weakly coupled frustrated diamond chains, i.e., a spin model related to the celebrated azurite compound. Using the strong-coupling approach we construct an effective Hamiltonian which yields the low-temperature high-field properties of the spin system. We examine effects of interchain interactions on localized-magnon physics.
3
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Spin-1/2 Periodic Nonuniform XX Chains and the Spin-Peierls Instability

100%
Derzhko O., Richter J., Zaburannyi O.
Acta Physica Polonica A
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2000
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vol. 97
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issue 5
931-934
EN
Using continued fractions we obtained the exact result for the density of magnon states of the regularly alternating spin-1/2 XX chain with the Dzyaloshinskii-Moriya interaction. We examined the stability of the magnetic chain with respect to the spin-Peierls dimerization.
4
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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.
5
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Spin-1/2 XX Chains with Three-Spin Interactions

100%
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.
6
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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.
7
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Low-Temperature Properties of the Quantum Heisenberg Antiferromagnet on Some One-Dimensional Lattices Containing Equilateral Triangles

100%
Maksymenko M., Derzhko O., Richter J.
Acta Physica Polonica A
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2011
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vol. 119
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issue 6
860-862
EN
We consider the quantum Heisenberg antiferromagnet in a magnetic field on two one-dimensional lattices containing equilateral triangles (a chain of corner-sharing double tetrahedra and a frustrated three-leg ladder) which support localized-magnon states. By mapping of the localized-magnon degrees of freedom on a classical lattice gas we obtain high-field thermodynamic quantities of the models at low temperatures.
8
Content available remote

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.
9
Content available remote

Ground-State Properties of the Spin-1/2 Heisenberg-Ising Bond Alternating Chain with Dzyaloshinskii-Moriya Interaction

100%
Strečka J., Gálisová L., Derzhko O.
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issue 5
742-744
EN
Ground-state energy is exactly calculated for the spin-1/2 Heisenberg-Ising bond alternating chain with the Dzyaloshinskii-Moriya interaction. Under certain condition, which relates a strength of the Ising, Heisenberg and Dzyaloshinskii-Moriya interactions, the ground-state energy exhibits an interesting nonanalytic behavior accompanied with a gapless excitation spectrum.
10
Content available remote

Magnetic Properties of the Hubbard Model on Kagome Stripes

88%
Derzhko O., Maksymenko M., Richter J., Honecker A., Moessner R.
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issue 5
736-737
EN
We consider the one-orbital N-site repulsive Hubbard model on two kagome like chains, both of which yield a completely dispersionless (flat) one-electron band. Using exact many-electron ground states in the subspaces with n ≤ n_{max} (n_{max} ∝ N) electrons, we calculate the square of the total spin in the ground state to discuss magnetic properties of the models. We have found that although for n < n_{max} the ground states contain fully polarized states, there is no finite region of electron densities n/{\cal N} < 1 ({\cal N} = N/3 or {\cal N} = N/5) where ground-state ferromagnetism survives for {\cal N} → ∞.
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