scholarly journals Crossover from an incommensurate singlet spiral state with a vanishingly small spin gap to a valence-bond solid state in dimerized frustrated ferromagnetic spin chains

2017 ◽  
Vol 95 (22) ◽  
Author(s):  
Cliò Efthimia Agrapidis ◽  
Stefan-Ludwig Drechsler ◽  
Jeroen van den Brink ◽  
Satoshi Nishimoto
Keyword(s):  
Solid State ◽  
Valence Bond ◽  
Spin Chains ◽  
Spin Gap ◽  
Valence Bond Solid ◽  
Spiral State

scholarly journals Valence bond solid state induced by impurity frustration inCr8Ni

2009 ◽  
Vol 79 (11) ◽  
Author(s):  
J. Almeida ◽  
M. A. Martin-Delgado ◽  
G. Sierra
Keyword(s):  
Solid State ◽  
Valence Bond ◽  
Valence Bond Solid

The Haldane State in CsNiCl3Detected by Magnetization Measurements –Observation of Quantum-Classical Crossover and the Valence Bond Solid State–

1997 ◽  
Vol 66 (2) ◽  
pp. 460-465 ◽  
Author(s):  
Takayuki Asano ◽  
Yoshitami Ajiro ◽  
Mamoru Mekata ◽  
Kenji Kamishima ◽  
Katsuhiko Koui ◽  
...  
Keyword(s):  
Solid State ◽  
Valence Bond ◽  
Magnetization Measurements ◽  
Valence Bond Solid

OBSERVATION OF FRACTIONAL SPIN DEGREES OF FREEDOM IN AN S=1 LINEAR CHAIN HEISENBERG ANTIFERROMAGNET

1991 ◽  
Vol 05 (11) ◽  
pp. 741-746
Author(s):  
M. HAGIWARA ◽  
K. KATSUMATA
Keyword(s):  
Electron Spin Resonance ◽  
Solid State ◽  
Electron Spin ◽  
Degrees Of Freedom ◽  
Linear Chain ◽  
Valence Bond ◽  
Heisenberg Antiferromagnet ◽  
Fractional Spin ◽  
Spin Resonance ◽  
Valence Bond Solid

We have studied the typical spin one linear chain Heisenberg antiferromagnet, Ni ( C 2 H 8 N 2)2 NO 2( ClO 4) containing a small amount of Cu2+ by electron spin resonance (ESR) technique. The ESR results are successfully explained by the model that the valence bonds in the valence bond solid state are broken at the Cu 2+ sites resulting in fractional spin degrees of freedom at the Ni 2+ sites neighboring the Cu 2+.

scholarly journals Entanglement in anSU(n) valence-bond-solid state

2008 ◽  
Vol 41 (13) ◽  
pp. 135304 ◽  
Author(s):  
Hosho Katsura ◽  
Takaaki Hirano ◽  
Vladimir E Korepin
Keyword(s):  
Solid State ◽  
Valence Bond ◽  
Valence Bond Solid

Breakdown of the Spin-1 Haldane Phase Via Quantum Fluctuations

1998 ◽  
Vol 12 (18) ◽  
pp. 1795-1808 ◽  
Author(s):  
Shoji Yamamoto
Keyword(s):  
Wave Function ◽  
Short Range ◽  
Valence Bond ◽  
Quantum Fluctuations ◽  
Bound State ◽  
Spin Chains ◽  
Repulsive Interaction ◽  
Variational Parameter ◽  
Valence Bond Solid ◽  
Antiferromagnetic Spin

Investigating quantum fluctuations in the ground states of S=1 quantum antiferromagnetic spin chains described by the bilinear-biquadratic Hamiltonian ℋ=∑i [Si·Si+1+β (Si·Si+1)2], we study a mechanism of the breakdown of the Haldane phase. Based on the valence-bond-solid structure, but replacing two links of them by triplet bonds (crackions), we construct a trial wave function which is singlet and translationally invariant, where the crackion-crackion distance is regarded as a variational parameter. At β < 1/3, the minimization of the variational energy results in a bound state of crackions, while at β > 1/3, crackions come to be set free from their bound state with increase of β and the chain length. We point out that the breakdown of the Haldane phase with β approaching 1 can be attributed to the collapse of the bound state and the growth of a short-range repulsive interaction between crackions.

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