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

arXiv:0802.0389 · Physical Review B

Dynamic properties of quantum spin chains: Simple route to complex behavior

Taras Verkholyak, Oleg Derzhko, Taras Krokhmalskii, Joachim Stolze

Published Oct 15, 2007• 15 citations
arXivHTMLPDF

Abstract

We examine dynamic structure factors of spin-$1∕2$ chains with nearest-neighbor interactions of $XX$ and Dzyaloshinskii-Moriya type and with periodic and random changes in the sign of these interactions. This special kind of inhomogeneity can be eliminated from the Hamiltonian by suitable transformation of the spin variables. As a result, the dynamic structure factors of periodic or random chains can be computed from those of the uniform chains. Using the exact analytical and precise numerical results available for the uniform systems, we illustrate the effects of regular alternation or random disorder on dynamic structure factors of quantum spin chains.

DOI
10.1103/physrevb.76.144418

Related papers

Dynamic Correlations in a Random Spin-1/2 XY Chain

Taras Verkholyak, Oleg Derzhko, Taras Krokhmalskii +1 more

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.

Acta Physica Polonica A•Jan 1, 2008•0 citations

Dynamical characteristics of frustrated quantum spin chains

Andrei A. Zvyagin

Motivated by recent experiments on quasi-one-dimensional spin-frustrated quantum spin systems, we study the dynamic properties of exactly solvable quantum spin models with spin frustration. The ground-state dynamic structure factor, static structure factor (important for the neutron scattering), inhomogeneous static magnetic susceptibility, etc., are calculated. The results differ strongly from the behavior of similar characteristics of a standard Heisenberg quantum spin chain. We believe that the obtained behavior of the mentioned characteristics is generic for quantum spin chains with nearest- and next-nearest-neighbor interactions.

Physical Review B•Mar 13, 2006•5 citations

Dynamic Structure Factors of the Spin-1/2XXChain with Dzyaloshinskii–Moriya Interaction

Oleg Derzhko, Taras Verkholyak

We consider the spin-1/2 isotropic XY chain in a (z) transverse magnetic field with the Dzyaloshinskii-Moriya interaction directed along the z-axis in spin space and examine the effects of the latter interaction on the zz, xx (yy) and xy (yx) dynamic structure factors. The Dzyaloshinskii-Moriya interaction does not manifest itself in the zz dynamic quantities. In contrast, the xx (yy) and xy (yx) dynamic structure factors show dramatical changes owing to the Dzyaloshinskii-Moriya interaction. Implications of our results for electron spin resonance experiments are briefly discussed.

arXiv:0712.2507•Journal of the Physical Society of Japan•Oct 10, 2006•8 citations

Dynamic probes of quantum spin chains with the Dzyaloshinskii-Moriya interaction

Oleg Derzhko, Taras Verkholyak, Taras Krokhmalskii +1 more

We consider the spin-$\frac{1}{2}$ anisotropic $XY$ chain in a transverse $(z)$ field with the Dzyaloshinskii-Moriya interaction directed along the $z$ axis in spin space to examine the effect of the Dzyaloshinskii-Moriya interaction on the $zz$, $xx$, and $yy$ dynamic structure factors. Using the Jordan-Wigner fermionization approach we analytically calculate the dynamic transverse spin structure factor. It is governed by a two-fermion excitation continuum. We analyze the effect of the Dzyaloshinskii-Moriya interaction on the two-fermion excitation continuum. Other dynamic structure factors which are governed by many-fermion excitations are calculated numerically. We discuss how the Dzyaloshinskii-Moriya interaction manifests itself in the dynamic properties of the quantum spin chain at various fields and temperatures.

arXiv:0712.3361•Physical Review B•Jun 6, 2006•51 citations

There is life in the old horse yet or what else we can learn studying spin-1/2 XY chains

Oleg Derzhko

We review some recent results on statistical mechanics of the one-dimensional spin-1/2 XY systems paying special attention to the dynamic and thermodynamic properties of the models with Dzyaloshinskii-Moriya interaction, correlated disorder, and regularly alternating Hamiltonian parameters.

arXiv:cond-mat/0304344•Apr 15, 2003•0 citations

THERE IS LIFE IN THE OLD HORSE YET OR WHAT ELSE WE CAN LEARN STUDYING SPIN-1/2 XY CHAINS

Derzhko

We review some recent results on statistical mechanics of the one-dimensional spin-1/2 XY systems paying special attention to the dynamic and thermodynamic properties of the models with Dzyaloshinskii-Moriya interaction, correlated disorder, and regularly alternating Hamiltonian parameters.

Condensed Matter Physics•Jan 1, 2002•4 citations
We examine dynamic structure factors of spin-1∕21∕21∕2 chains with nearest-neighbor interactions of XXXXXX and Dzyaloshinskii-Moriya type and with periodic and random changes in the sign of these interactions. This special kind of inhomogeneity can be eliminated from the Hamiltonian by suitable transformation of the spin variables. As a result, the dynamic structure factors of periodic or random chains can be computed from those of the uniform chains. Using the exact analytical and precise numerical results available for the uniform systems, we illustrate the effects of regular alternation or random disorder on dynamic structure factors of quantum spin chains.
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.
Motivated by recent experiments on quasi-one-dimensional spin-frustrated quantum spin systems, we study the dynamic properties of exactly solvable quantum spin models with spin frustration. The ground-state dynamic structure factor, static structure factor (important for the neutron scattering), inhomogeneous static magnetic susceptibility, etc., are calculated. The results differ strongly from the behavior of similar characteristics of a standard Heisenberg quantum spin chain. We believe that the obtained behavior of the mentioned characteristics is generic for quantum spin chains with nearest- and next-nearest-neighbor interactions.
We consider the spin-1/2 isotropic XY chain in a (z) transverse magnetic field with the Dzyaloshinskii-Moriya interaction directed along the z-axis in spin space and examine the effects of the latter interaction on the zz, xx (yy) and xy (yx) dynamic structure factors. The Dzyaloshinskii-Moriya interaction does not manifest itself in the zz dynamic quantities. In contrast, the xx (yy) and xy (yx) dynamic structure factors show dramatical changes owing to the Dzyaloshinskii-Moriya interaction. Implications of our results for electron spin resonance experiments are briefly discussed.
We consider the spin-12\frac{1}{2}21​ anisotropic XYXYXY chain in a transverse (z)(z)(z) field with the Dzyaloshinskii-Moriya interaction directed along the zzz axis in spin space to examine the effect of the Dzyaloshinskii-Moriya interaction on the zzzzzz, xxxxxx, and yyyyyy dynamic structure factors. Using the Jordan-Wigner fermionization approach we analytically calculate the dynamic transverse spin structure factor. It is governed by a two-fermion excitation continuum. We analyze the effect of the Dzyaloshinskii-Moriya interaction on the two-fermion excitation continuum. Other dynamic structure factors which are governed by many-fermion excitations are calculated numerically. We discuss how the Dzyaloshinskii-Moriya interaction manifests itself in the dynamic properties of the quantum spin chain at various fields and temperatures.