Elementary excitations in dimerized and frustrated Heisenberg chains

Bouzerar, Georges; Kampf, Arno P.; Japaridze, G. I.

doi:10.1103/physrevb.58.3117

Cited by 90 publications

(130 citation statements)

References 44 publications

Supporting

Mentioning

111

Contrasting

Unclassified

Order By: Relevance

“…This behavior can be well compared to the singlet bound state observed in CuGeO 3 37 . The small binding energy of this signal just below 2 01 = 5 0 c m ;1 would only be expected for a singlet bound state in a spin chain with negligible frustration 8 . The weak spin-orbit coupling evidenced in ESR experiments 26 in addition excludes one-magnon scattering, e.g., from the upper dispersing branch ( 0 01 ) 17 in a direction.…”

Section: Quasielastic Scatteringmentioning

confidence: 99%

Magnetoelastic coupling and spin excitations in the spin-gap system(VO)2P2<

Grove¹,

Lemmens²,

Güntherodt

et al. 2000

Phys. Rev. B

View full text Add to dashboard Cite

Single crystals of the spin-gap system (VO)2P2O7 have been investigated by means of Raman scattering. At temperatures below T = 7 5 K 2 01 (k = 0), with 01 the singlet-triplet gap, a shoulder appears at 47 cm ;1 . An analysis of the polarization selection rules and the temperature dependence of the scattering intensity leads to its identi cation as a singlet bound state with very small binding energy. Therefore in contrast to recent theoretical models the importance of frustration for this compound must be rejected. The observation of a strong anharmonicity of three phonons with energies close to 01 at the zone boundary and additional quasielastic light scattering, however, both point to a strong spin-phonon coupling in this system. We propose this coupling to be the origin of the second bound triplet state observed in recent neutron scattering experiments.75.10. Jm, 75.50.Ee,

show abstract

Section: Quasielastic Scatteringmentioning

confidence: 99%

Magnetoelastic coupling and spin excitations in the spin-gap system(VO)2P2<

Grove¹,

Lemmens²,

Güntherodt

et al. 2000

Phys. Rev. B

View full text Add to dashboard Cite

show abstract

“…In the dimerized phase (purely magnetic 1D model) the excitations can be considered as local triplet and a corresponding two-particle continuum of triplet excitations. If a frustration of the spin system due to NNN intrachain exchange or an interchain interaction is taken into account, well-defined magnetic bound states also develop [33][34][35].…”

Section: Magnetic Raman Scatteringmentioning

confidence: 99%

Low-dimensional magnetism of spin-½ chain systems of α- and β-TeVO4: A comparative study

Gnezdilov

Lemmens

Wulferding

et al. 2012

Low Temperature Physics

View full text Add to dashboard Cite

We present a comparative study of the low-dimensional compounds α-and β-TeVO 4 . Our data clearly show that the change in the local coordination geometry of V 4+ ions comparing α-and β-TeVO 4 leads to a drastic differences in the magnetic properties. Despite sharing the same crystal structure, the two compounds realize different magnetic exchange topologies. Both compounds exhibit a transition from ferro-to antiferromagnetic correlations with decreasing temperature. This effect however is driven by different mechanisms for both compounds. Additionally, a dimensional crossover is found in β-TeVO 4 . PACS

show abstract

“…We introduce the parameter α = J2 |J1| for convenience. This model with NN and NNN antiferromagnetic interactions (J 1 , J 2 > 0) is well studied [1][2][3][4][5][6][7][8] . This chain is well known to display a quantum phase transition from a gapless, translationally invariant state with algebraic spin correlations (the spin fluid phase) to dimer gapful state at α c ≃ 0.2411 3 .…”

Section: Introductionmentioning

confidence: 99%

Numerical study of the frustrated ferromagnetic spin-\frac {1}{2} chain

Mahdavifar

2008

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

The ground state phase diagram of the frustrated ferromagnetic spin-1/2 chain is investigated using the exact diagonalization technique. It is shown that there is a jump in the spontaneous magnetization and the ground state of the system undergos to a phase transition from a ferromagnetic phase to a phase with dimer ordering between next-nearest-neighbor spins. Near the quantum transition point, the critical behavior of the ground state energy is analyzed numerically. Using a practical finite-size scaling approach, the critical exponent of the ground state energy is computed. Our numerical results are in good agreement with the results obtained by other theoretical approaches.

show abstract

Elementary excitations in dimerized and frustrated Heisenberg chains

Cited by 90 publications

References 44 publications

Magnetoelastic coupling and spin excitations in the spin-gap system(VO)2P2<

Magnetoelastic coupling and spin excitations in the spin-gap system(VO)2P2<

Low-dimensional magnetism of spin-½ chain systems of α- and β-TeVO4: A comparative study

Numerical study of the frustrated ferromagnetic spin-\frac {1}{2} chain

Contact Info

Product

Resources

About