Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Low Temperature Physics

One exactly solvable random spin-1/2 XY chain

Oleg Derzhko, Taras Verkholyak

Published Sep 1, 1997• 3 citations
Publisher

Abstract

Considering one-dimensional spin-1/2 isotropic XY model with Dzyaloshinski–Moriya interaction in random Lorentzian transverse field we have calculated exactly thermodynamic quantities of the model. We used the derived average single-particle density of states to examine the validity of coherent potential approximation.
DOI
10.1063/1.593370

Related papers

Spin-1/2 isotropic XY chain with Dzyaloshinskii-Moriya interaction in random lorentzian transverse field

Oleg Derzhko, Taras Verkholyak

The exact results for thermodynamical properties of one-dimensional spin-1/2 isotropic XY model with Dzyaloshinskii-Moriya interaction in random lorentzian transverse field are obtained. This permits to discuss some approximate methods of disordered spin systems theory. The approximate scheme of examining the thermodynamics of one-dimensional spin-1/2 XXZ Heisenberg model with Dzyaloshinskii-Moriya interaction in random lorentzian field is suggested.

arXiv:cond-mat/9702005•Jan 31, 1997•0 citations

Solvable model of a random spin- XY chain

Oleg Derzhko, Johannes Richter

This paper presents exact calculations of thermodynamic quantities for the spin- isotropic XY chain with random Lorentzian intersite interaction and transverse field that depends linearly on the surrounding intersite interactions.

arXiv:cond-mat/9705163•Physical review. B, Condensed matter•Jun 1, 1997•24 citations

Thermodynamic properties of spin- 12 transverse XY chains with Dzyaloshinskii-Moriya interaction: Exact solution for correlated Lorentzian disorder

Oleg Derzhko, Johannes Richter

We extend the consideration of the spin-$\frac{1}{2}$ transverse $\mathrm{XY}$ chain with correlated Lorentzian disorder [Phys. Rev. B 55, 14 298 (1997)] for the case of additional Dzyaloshinskii-Moriya interspin interaction. It is shown how the averaged density of states can be calculated exactly. Results are presented for the density of states and the transverse magnetization.

arXiv:cond-mat/9810143•Physical review. B, Condensed matter•Jan 1, 1999•23 citations

Thermodynamics of the s=1/2 transverse XX chain with Dzyaloshinskii-Moriya interaction in the presence of correlated Lorentzian disorder

Oleg Derzhko, Johannes Richter, Volodymyr Derzhko

The spin-1/2 transverse XY chain with correlated disorder may exhibit the nonzero averaged transverse magnetization at zero averaged transverse field. We discuss this peculiarity connected with asymmetry in the density of states and induced by the correlated disorder analysing the moments of the density of states.

arXiv:cond-mat/9908425•Aug 28, 1999•0 citations

One‐Dimensional Spin‐½ XY Models as Test for Methods in the Spin System Theory

Oleg Derzhko, Taras Verkholyak

The average density of states that determines the thermodynamic properties is calculated analytically and numerically for two random versions of the one-dimensional spin-½ XY model. The exact results obtained are compared with the results derived within some well-known approximate approaches that permits to understand the region of their validity.

physica status solidi (b)•Mar 1, 1997•5 citations

Dynamic properties of spin-1/2 XY chains

Oleg Derzhko, Taras Krokhmalskii

We have considered a numerical scheme for the calculation of the equilibrium properties of spin-1/2 XY chains. Within its frames it is necessary to solve in the last resort only the 2N\times 2N eigenvalue and eigenvector problem but not the 2^N\times 2^N one as for an arbitrary system consisting of N spins 1/2. To illustrate the approach we have presented some new results. Namely, the xx dynamic structure factor for the Ising model in transverse field, the density of states for the isotropic chain with random intersite couplings and transverse fields that linearly depend on the surrounding couplings, and the zz dynamic structure factor for the Ising model in random transverse field. The results obtained are hopped to be useful for an interpretation of observable data for one-dimensional spin-1/2 XY substances.

arXiv:cond-mat/9805370•May 28, 1998•0 citations
We extend the consideration of the spin-12\frac{1}{2}21​ transverse XY\mathrm{XY}XY chain with correlated Lorentzian disorder [Phys. Rev. B 55, 14 298 (1997)] for the case of additional Dzyaloshinskii-Moriya interspin interaction. It is shown how the averaged density of states can be calculated exactly. Results are presented for the density of states and the transverse magnetization.
We have considered a numerical scheme for the calculation of the equilibrium properties of spin-1/2 XY chains. Within its frames it is necessary to solve in the last resort only the 2N\times 2N eigenvalue and eigenvector problem but not the 2^N\times 2^N one as for an arbitrary system consisting of N spins 1/2. To illustrate the approach we have presented some new results. Namely, the xx dynamic structure factor for the Ising model in transverse field, the density of states for the isotropic chain with random intersite couplings and transverse fields that linearly depend on the surrounding couplings, and the zz dynamic structure factor for the Ising model in random transverse field. The results obtained are hopped to be useful for an interpretation of observable data for one-dimensional spin-1/2 XY substances.