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

Kouzuki, Atsuko; Kawasaki, Ken; Nakamura, Katsuhiro

doi:10.1103/physrevb.60.12874

Cited by 10 publications

(4 citation statements)

References 35 publications

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“…2 of Ref. 28, the spin-phonon coupling term suppresses the magnetic susceptibility over the whole temperature range. The magnetic susceptibility is independent of the hydrostatic pressure at Tտ130 K. We can therefore safely assume that the spin-phonon coupling is independent of the hydrostatic pressure.…”

Section: Resultsmentioning

confidence: 81%

Appearance of the spin-Peierls phase under pressure inCu1−xMgxGeO<

et al. 2003

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The effect of pressure is studied on highly Mg-doped CuGeO 3 , which at ambient pressure shows an antiferromagnetic transition but no spin-Peierls transition. The magnetic susceptibility under pressure was measured; the broad maximum around 60 K shifts to lower temperatures and the spin-Peierls ͑SP͒ transition reappears. The temperature-concentration phase diagram at various pressures was constructed and it was found that the SP phase region enlarges with pressure. These results mean that the enhancement of frustration due to nearest-neighbor and next-nearest-neighbor exchange interactions overcomes the effect of interchain interaction, and that the spin-Peierls phase is more stabilized than the paramagnetic or antiferromagnetic phases. In the temperature-pressure-concentration phase diagram, the compositional phase transition between the dimerized-antiferromagnetic phase and the uniform-antiferromagnetic phase is second order at PϾ0.2 GPa, but first order at PϽ0.2 GPa. We propose that the change in order of this transition is also due to enhancement of the frustration. We show an example of frustration effects in a one-dimensional quantum spin system.

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Section: Resultsmentioning

confidence: 81%

Appearance of the spin-Peierls phase under pressure inCu1−xMgxGeO<

et al. 2003

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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%

“…Next we turn to the van Hove singularities inherent in the four-fermion dynamic quantities. Evidently, the quantity (56) may exhibit van Hove singularities characteristic to the three-dimensional…”

Section: Four-fermion Excitationsmentioning

confidence: 99%

“…S(k, ω)(56) vs ω at k = 2π/3 (a) and k = π (b) for S(k 1 , k 2 , k 3 , k) = 1 (bold curves) and S(k 1 , k 2 , k 3 , k) = n k 1 n k 2`1 − n k 3´`1 − n k 1 +k 2 −k 3 +k´, T = 0 for Ω = 0 (solid curves), Ω = 0.3 (long-dashed curves), Ω = 0.6 (short-dashed curves), Ω = 0.9 (dotted curves). Vertical lines denote the values of ω(j) s (k), j = 1, 2, 3 (57).…”

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confidence: 99%

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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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alternating spin chains with Dzyaloshinskii–Moriya interaction

Pires

2001

Journal of Magnetism and Magnetic Materials

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

Cited by 10 publications

References 35 publications

Appearance of the spin-Peierls phase under pressure inCu1−xMgxGeO<

Appearance of the spin-Peierls phase under pressure inCu1−xMgxGeO<

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

alternating spin chains with Dzyaloshinskii–Moriya interaction

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