Dynamical Behaviors of Spin-Peierls Transition: 1-DS=1/2XY Antiferromagnets

Kawasaki, Ken; Maya, Natsuko; Kouzuki, Atsuko; Nakamura, Katsuhiro

doi:10.1143/jpsj.66.839

Cited by 11 publications

(6 citation statements)

References 20 publications

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“…This observation permits us to study rigorously the influence of DM interaction on the spin-Peierls instability in the transverse XX chain using the exact results for thermodynamic quantities of the regularly alternating transverse XX chain obtained recently with the help of continued fractions [20]. (The approach exploiting continued fractions in contrast to the approaches used in previous works [3,4,5,6,16] allows one to consider in a similar way not only the dimerized lattice but also more complicated lattice distortions.) Further, we discuss the case of the Heisenberg chain with DM interaction using exact diagonalization of finite chains.…”

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confidence: 96%

“…As a rule, since those models represent quantum many body systems, only approximate results can be obtained. However, some generic features of the spin-Peierls systems can be illustrated in a simplified but exactly solvable quantum spin model, namely, the transverse XX chain [3,4,5,6].…”

mentioning

confidence: 99%

“…As a rule, since those models represent quantum many-body systems, only approximate results can be obtained. However, some generic features of the spin-Peierls systems can be illustrated in a simplified but exactly solvable quantum spin model, namely, the transverse XX chain [3][4][5][6].In the present paper we discuss the influence of the Dzyaloshinskii-Moriya (DM) interaction [7] on the spin-Peierls dimerization in the adiabatic limit. The presence of DM interaction for CuGeO 3 was proposed in references [8][9][10] in order to explain the EPR and ESR experimental data.…”

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confidence: 99%

“…is the elliptic integral of the second kind. We also seek for a nonzero solution δ = 0 of the equation ∂E(δ)/∂δ = 0 that can be easily derived from (6). In what follows we consider the case of a uniform transverse field 1 = 2 = 0 0.…”

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confidence: 99%

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Spin-Peierls instability in a quantum spin chain with Dzyaloshinskii-Moriya interaction

Derzhko

Richter²,

Zaburannyi³

2000

J. Phys.: Condens. Matter

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We analysed the ground state energy of some dimerized spin-1 2 transverse XX and Heisenberg chains with Dzyaloshinskii-Moriya (DM) interaction to study the influence of the latter interaction on the spinPeierls instability. We found that DM interaction may act either in favour of the dimerization or against it. The actual result depends on the dependence of DM interaction on the distortion amplitude in comparison with such dependence for the isotropic exchange interaction.

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confidence: 96%

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confidence: 99%

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confidence: 99%

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confidence: 99%

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Spin-Peierls instability in a quantum spin chain with Dzyaloshinskii-Moriya interaction

Derzhko

Richter²,

Zaburannyi³

2000

J. Phys.: Condens. Matter

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“…4 and ends up with the following result Refs. 35,55,56,54 ). Again for the xx and xy dynamic structure factors exact analytical results are rather scarce.…”

Section: Dimerized Spin-1/2 Isotropic Xy Chain In a Transverse Fieldmentioning

confidence: 99%

Jordan-Wigner Fermionization and the Theory of Low-Dimensional Quantum Spin Models.: Dynamic Properties

Derzhko¹

2008

Condensed Matter Physics in the Prime of the 21st Century

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The Jordan-Wigner transformation is known as a powerful tool in condensed matter theory, especially in the theory of low-dimensional quantum spin systems. The aim of this chapter is to review the application of the Jordan-Wigner fermionization technique for calculating dynamic quantities of low-dimensional quantum spin models. After a brief introduction of the Jordan-Wigner transformation for one-dimensional spin one-half systems and some of its extensions for higher dimensions and higher spin values we focus on the dynamic properties of several lowdimensional quantum spin models. We start from the famous s = 1/2 XX chain. As a first step we recall well-known results for dynamics of the z-spin-component fluctuation operator and then turn to the dynamics of the dimer and trimer fluctuation operators. The dynamics of the trimer fluctuations involves both the two-fermion (one particle and one hole) and the four-fermion (two particles and two holes) excitations. We discuss some properties of the two-fermion and four-fermion excitation continua. The four-fermion dynamic quantities are of intermediate complexity between simple two-fermion (like the zz dynamic structure factor) and enormously complex multi-fermion (like the xx or xy dynamic structure factors) dynamic quantities. Further we discuss the effects of dimerization, anisotropy of XY interaction, and additional Dzyaloshinskii-Moriya interaction on various dynamic quantities. Finally we consider the dynamic transverse spin structure factor Szz(k, ω) for the s = 1/2 XX model on a spatially anisotropic square lattice which allows one to trace a one-to-two-dimensional crossover in dynamic quantities.

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Spin dynamics of spin-Peierls transition in quantum Heisenberg antiferromagnetic chain

Kouzuki

Maya

Kawasaki

et al. 1998

Journal of Magnetism and Magnetic Materials

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Dynamical Behaviors of Spin-Peierls Transition: 1-DS=1/2XY Antiferromagnets

Cited by 11 publications

References 20 publications

Spin-Peierls instability in a quantum spin chain with Dzyaloshinskii-Moriya interaction

Spin-Peierls instability in a quantum spin chain with Dzyaloshinskii-Moriya interaction

Jordan-Wigner Fermionization and the Theory of Low-Dimensional Quantum Spin Models.: Dynamic Properties

Spin dynamics of spin-Peierls transition in quantum Heisenberg antiferromagnetic chain

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