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Zheludev, A.; Nagler, S. E.; Shapiro, S. M.; Chou, L.-K.; Talham, Daniel R.; Meisel, M. W.

doi:10.1103/physrevb.53.15004

Cited by 39 publications

(33 citation statements)

References 26 publications

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“…The actual increase of the gap energy observed experimentally NENP, 19 NINAZ, 20 and Y 2 BaNiO 5 , 21 was found to be consistently smaller that this NLSM prediction. The same discrepancy, namely a rather slow increase of the gap energy with temperature, is seen in SrNi 2 V 2 O 8 as well.…”

Section: Disordered Phasementioning

confidence: 51%

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Magnetic excitations in coupled Haldane spin chains near the quantum critical point

et al. 2000

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Two quasi-1-dimensional S = 1 quantum antiferromagnetic materials, PbNi2V2O8 and SrNi2V2O8, are studied by inelastic neutron scattering on powder samples. While magnetic interactions in the two systems are found to be very similar, subtle differences in inter-chain interaction strengths and magnetic anisotropy are detected. The latter are shown to be responsible for qualitatively different ground state properties: magnetic long-range order in SrNi2V2O8 and disordered "spin liquid" Haldane-gap state in PbNi2V2O8.

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Section: Disordered Phasementioning

confidence: 51%

“…Both phenomena have been observed in a number of model quasi-1-D systems (see, for example, Refs. [19][20][21]. Unfortunately, it is almost impossible to extract meaningful information regarding excitation lifetimes from powder inelastic data.…”

Section: Disordered Phasementioning

confidence: 99%

Magnetic excitations in coupled Haldane spin chains near the quantum critical point

et al. 2000

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“…This is understood in the context of the thermally induced "blue-shift" that has been reported in other quasi-one-dimensional systems. [45][46][47][48][49] .…”

Section: B Temperature Dependencementioning

confidence: 99%

Incommensurate dynamic correlations in the quasi-two-dimensional spin liquid BiCu2PO6

et al. 2013

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We report detailed inelastic neutron scattering measurements on single crystals of the frustrated two-leg ladder BiCu2PO6, whose ground state is described as a spin liquid phase with no long-range order down to 6 K. Two branches of steeply dispersing long-lived spin excitations are observed with excitation gaps of ∆1 = 1.90(9) meV and ∆2 = 3.95(8) meV. Significant frustrating nextnearest neighbor interactions along the ladder leg drive the minimum of each excitation branch to incommensurate wavevectors ζ1 = 0.574π and ζ2 = 0.553π for the lower and upper energy branches respectively. The temperature dependence of the excitation spectrum near the gap energy is consistent with thermal activation into singly and doubly degenerate excited states. The observed magnetic excitation spectrum as well as earlier thermodynamic data could be consistently explained by the presence of strong anisotropic interactions in the ground state Hamiltonian.

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“…We introduce an improved density-matrix renormalization group procedure with strict error control, which we use to access very large systems. By considering the bulk entropy, we determine the Gaussian transition point to four-digit accuracy, D c /J = 0.968 45 (8), resolving a long-standing debate in quantum magnetism. With this value, we obtain high-precision data for the critical behavior of quantities, including the ground-state energy, gap, and transverse string-order parameter, and for the critical exponent ν = 1.472 (2).…”

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confidence: 99%

Accurate determination of the Gaussian transition in spin-1 chains with single-ion anisotropy

Normand

Wang

et al. 2011

Phys. Rev. B

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The Gaussian transition in the spin-1 Heisenberg chain with single-ion anisotropy is extremely difficult to treat, both analytically and numerically. We introduce an improved density-matrix renormalization group procedure with strict error control, which we use to access very large systems. By considering the bulk entropy, we determine the Gaussian transition point to four-digit accuracy, D c /J = 0.968 45(8), resolving a long-standing debate in quantum magnetism. With this value, we obtain high-precision data for the critical behavior of quantities, including the ground-state energy, gap, and transverse string-order parameter, and for the critical exponent ν = 1.472(2). Applying our improved technique at J z = 0.5 highlights essential differences in critical behavior along the Gaussian transition line.The Gaussian transition appears in several fields of quantum physics and statistical mechanics. The equivalence between surface-roughening transitions in classical two-dimensional (2D) models and quantum phase transitions in spin chains was introduced in Ref. 1, and their rich phase diagrams were investigated at length in Ref. 2. Characterized by continuously variable exponents, the Gaussian transition differs significantly both from regular phase transitions and from those of Kosterlitz-Thouless (KT) type. These differences complicate both analytical and numerical approaches to a complete and accurate description of rough surfaces and quantum spin chains.The S = 1 Heisenberg chain is one of the fundamental models in quantum magnetism. It formed the basis of Haldane's conjecture 3 for a finite gap in antiferromagnetic chains with integer spin, as opposed to the gapless spectrum of half-odd-integer cases. Numerically, quantum spin chains are important test cases for any computational technique, and Haldane's prediction has been verified by a range of methods with increasing accuracy. 4,5 Experimentally, while the "Haldane gap" has been found in the excitation spectra of many systems, 6 most known S = 1 chains, 9 are organic Ni materials with significant single-ion anisotropies. Analytical approaches to the Gaussian transition driven by this term are complicated by the lack of a suitable effective field theory, 10 and its broad nature makes all numerical techniques difficult to apply. Many authors have considered this transition, producing occasionally contradictory results. [11][12][13][14][15][16][17][18][19] In this Rapid Communication we resolve the problem of the Gaussian transition in the S = 1 chain with single-ion anisotropy. We exploit the fact that this transition is a gapless point between two gapped phases, whence the entropy exhibits a sharp peak. We introduce an improved density-matrix renormalization group (DMRG) approach with systematic error control, allowing high-precision calculations at system sizes up to L = 20 000, which automatically eliminate the endspin entropy. We determine the critical point with very high accuracy, and thereby deduce the critical behavior of several quantities at different...

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Spin dynamics in the linear-chainS=1 antiferromagnet Ni(C3H10

Cited by 39 publications

References 26 publications

Magnetic excitations in coupled Haldane spin chains near the quantum critical point

Magnetic excitations in coupled Haldane spin chains near the quantum critical point

Incommensurate dynamic correlations in the quasi-two-dimensional spin liquid BiCu2PO6

Accurate determination of the Gaussian transition in spin-1 chains with single-ion anisotropy

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