Finite-temperature scaling of spin correlations in a partially magnetized Heisenberg<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:mrow></mml:math>chain

Hälg, M.; Hüvonen, D.; Butch, Nicholas P.; Demmel, F.; Zheludev, A.

doi:10.1103/physrevb.92.104416

Cited by 16 publications

(15 citation statements)

References 41 publications

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“…The comparison to the arbitrarily normalized neutron scattering data was obtained by only fitting an overall scale factor (vertical shift along the logarithmic ordinate). This is different from previous studies of scaling of the dynamic structure factor in spin chains [39,40] and ladders [41], which focused on the z = 1 Tomonaga-Luttinger liquid regime. For that situation the scaling function is also known exactly, but explicitly depends on the Luttinger parameter, which in turn depends on the applied magnetic field and the magnitude of XXY anisotropy in the system.…”

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confidence: 86%

z=2 Quantum Critical Dynamics in a Spin Ladder

Blosser¹,

Bhartiya²,

Voneshen³

et al. 2018

Phys. Rev. Lett.

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By means of inelastic neutron scattering we investigate finite temperature dynamics in the quantum spin ladder compound (C5H12N)2CuBr4 (BPCB) near the magnetic field induced quantum critical point with dynamical exponent z = 2. We observe universal finite-temperature scaling of the transverse local dynamic structure factor in spectacular quantitative agreement with longstanding theoretical predictions. At the same time, already at rather low temperatures, we observe strong non-universal longitudinal fluctuations. To separate the two, we make use of an intrinsic legexchange symmetry of the spin ladder. Complementary measurements of specific heat also reveal striking scaling behavior near the quantum critical point.

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confidence: 86%

z=2 Quantum Critical Dynamics in a Spin Ladder

Blosser¹,

Bhartiya²,

Voneshen³

et al. 2018

Phys. Rev. Lett.

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“…To avoid lattice effects, of course both temperatures and frequencies should stay small compared to the in-chain coupling and momentum transfers should be restricted to a regime where the magnon dispersion can be approximated as parabolic, as opposed to cos shaped [12,39]. This approach is well tested and has been used in the context of Heisenberg spin chains [12,13], ladders [54], and Ising spin chains [53].…”

Section: Scaling Of Critical Fluctuationsmentioning

confidence: 99%

“…The solution is to access a regime of high enough temperatures or frequencies at which the system will be dominated by the 1D QCP and not by 2D or 3D interactions. In practice, either the temperature or energy transfer should thus be high compared to the strength of one-dimensionality-breaking and anisotropic terms in the Hamiltonian [12,13,53]. To avoid lattice effects, of course both temperatures and frequencies should stay small compared to the in-chain coupling and momentum transfers should be restricted to a regime where the magnon dispersion can be approximated as parabolic, as opposed to cos shaped [12,39].…”

Section: Scaling Of Critical Fluctuationsmentioning

confidence: 99%

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Finite-temperature correlations in a quantum spin chain near saturation

et al. 2017

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Inelastic neutron-scattering and finite-temperature density matrix renormalization group (DMRG) calculations are used to investigate the spin excitation spectrum of the S = 1/2 Heisenberg spin chain compound K 2 CuSO 4 Cl 2 at several temperatures in a magnetic field near saturation. Critical correlations characteristic of the predicted z = 2, d = 1 quantum phase transition occurring at saturation are shown to be consistent with the observed neutron spectra. The data is well described with a scaling function computed using a free fermion description of the spins, valid close to saturation, and the corresponding scaling limits. One of the most prominent nonuniversal spectral features of the data is a novel thermally activated longitudinal mode that remains underdamped across most of the Brillouin zone.

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“…Notably, it was used to illustrate that field dependent excitation energies agreed with the theory for the breather and soliton solutions to the quantum sine‐Gordon model which is a proposed low energy theory for S = 1/2 chains in a staggered field measured at 40 mK and up to 11 T . Aditional insights were gained from determination of the scaling relations of a Heisenberg S = 1/2 chain under 0 T and 7.5 T fields at 85 mK as established for a 2(1,4‐dioxane) · 2(H 2 O) · CuCl 2 polymer by Zheludev et al…”

Section: Inelastic Neutron Scattering (Ins) Spectrometersmentioning

confidence: 75%

Neutron Instruments for Research in Coordination Chemistry

et al. 2019

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Neutron diffraction and spectroscopy offer unique insight into structures and properties of solids and molecular materials. All neutron instruments located at the various neutron sources are distinct, even if their designs are based on similar principles, and thus, they are usually less familiar to the community than commercial X‐ray diffractometers and optical spectrometers. Major neutron instruments in the USA, which are open to scientists around the world, and examples of their use in coordination chemistry research are presented here, along with a list of similar instruments at main neutron facilities in other countries. The reader may easily and quickly find from this minireview an appropriate neutron instrument for research. The instruments include single‐crystal and powder diffractometers to determine structures, inelastic neutron scattering (INS) spectrometers to probe magnetic and vibrational excitations, and quasielastic neutron scattering (QENS) spectrometers to study molecular dynamics such as methyl rotation on ligands. Key and unique features of the diffraction and neutron spectroscopy that are relevant to inorganic chemistry are reviewed.

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Finite-temperature scaling of spin correlations in a partially magnetized HeisenbergS=12chain

Cited by 16 publications

References 41 publications

z=2 Quantum Critical Dynamics in a Spin Ladder

z=2 Quantum Critical Dynamics in a Spin Ladder

Finite-temperature correlations in a quantum spin chain near saturation

Neutron Instruments for Research in Coordination Chemistry

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