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Greven, M.; Birgeneau, R. J.; Endoh, Y.; Kastner, M. A.; Keimer, B.; Matsuda, M.; Shirane, G.; Thurston, T. R.

doi:10.1103/physrevlett.72.1096

Cited by 140 publications

(137 citation statements)

References 18 publications

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“…The numerical data for the infinite-volume correlation length ξ are compared with experimental data and the CH 2 N 2 -result in fig.2. The numerically accessible correlation lengths are more than three orders of magnitude larger than the experimental ones [9].…”

Section: The 2-d O(3) Model From Dimensionalmentioning

confidence: 95%

“…with 3-loop asymptotic scaling of the effective 2-d lattice O(3) model resulting from dimensional reduction. However, neutron scattering measurements on higher-spin systems [9,15] reveal a striking discrepancy with the CH 2 N 2 -formula. The puzzle concerning the applicability of 3-loop asymptotic scaling has recently been resolved by simulating the Heisenberg model at very large correlation lengths ξ ≈ 350, 000a [16].…”

Section: The 2-d O(3) Model From Dimensionalmentioning

confidence: 99%

“…In the light of our numerical data, the apparent good agreement of the CH 2 N 2 -formula with the less accurate spin 1/2 experimental data at higher temperatures must be considered accidental. The large discrepancy between the CH 2 N 2 -formula and experimental data for higher-spin systems [9,15] probably arises, because again 3-loop asymptotic scaling sets in only at very small temperatures, which are inaccessible to experiments. An investigation of the spin 1 case using the continuous-time loop cluster algorithm is presently in progress.…”

Section: The 2-d O(3) Model From Dimensionalmentioning

confidence: 99%

“…In the zero temperature limit the quantum system resembles a 3-d classical model at infinite volume. The 2-d quantum Heisenberg model [6][7][8] as well as the experimental systems [9] exhibit long-range antiferromagnetic order. Consequently, the SO(3) symmetry of the corresponding 3-d classical model is spontaneously broken to SO(2).…”

Section: The 2-d O(3) Model From Dimensionalmentioning

confidence: 99%

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D-theory: field theory via dimensional reduction of discrete variables

Beard

Brower

Chandrasekharan

et al. 1998

Nuclear Physics B - Proceedings Supplements

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A new non-perturbative approach to quantum field theory -D-theory -is proposed, in which continuous classical fields are replaced by discrete quantized variables which undergo dimensional reduction. The 2-d classical O(3) model emerges from the (2 + 1)-d quantum Heisenberg model formulated in terms of quantum spins. Dimensional reduction is demonstrated explicitly by simulating correlation lengths up to 350,000 lattice spacings using a loop cluster algorithm. In the framework of D-theory, gauge theories are formulated in terms of quantum links -the gauge analogs of quantum spins. Quantum links are parallel transporter matrices whose elements are non-commuting operators. They can be expressed as bilinears of anticommuting fermion constituents. In quantum link models dimensional reduction to four dimensions occurs, due to the presence of a 5-d Coulomb phase, whose existence is confirmed by detailed simulations using standard lattice gauge theory. Using Shamir's variant of Kaplan's fermion proposal, in quantum link QCD quarks appear as edge states of a 5-d slab. This naturally protects their chiral symmetries without fine-tuning. The first efficient cluster algorithm for a gauge theory with a continuous gauge group is formulated for the U (1) quantum link model. Improved estimators for Wilson loops are constructed, and dimensional reduction to ordinary lattice QED is verified numerically.

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Section: The 2-d O(3) Model From Dimensionalmentioning

confidence: 95%

Section: The 2-d O(3) Model From Dimensionalmentioning

confidence: 99%

Section: The 2-d O(3) Model From Dimensionalmentioning

confidence: 99%

Section: The 2-d O(3) Model From Dimensionalmentioning

confidence: 99%

See 2 more Smart Citations

D-theory: field theory via dimensional reduction of discrete variables

Beard

Brower

Chandrasekharan

et al. 1998

Nuclear Physics B - Proceedings Supplements

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“…It was also argued early on [47] that the T dependence of the correlation length, which was central to the conclusions of Chakravarty et al , would not exhibit a clear signature of the "High T" regime. This point was subsequently reiterated by Greven et al [53].…”

Section: Dynamics In One Dimension: Application To Spin-gap Compoundsmentioning

confidence: 74%

Dynamics and Transport Near Quantum-Critical Points

Sachdev

1998

Dynamical Properties of Unconventional Magnetic Systems

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Abstract. The physics of non-zero temperature dynamics and transport near quantum-critical points is discussed by a detailed study of the O(N )-symmetric, relativistic, quantum field theory of a N -component scalar field in d spatial dimensions. A great deal of insight is gained from a simple, exact solution of the long-time dynamics for the N = 1 d = 1 case: this model describes the critical point of the Ising chain in a transverse field, and the dynamics in all the distinct, limiting, physical regions of its finite temperature phase diagram is obtained. The N = 3, d = 1 model describes insulating, gapped, spin chain compounds: the exact, low temperature value of the spin diffusivity is computed, and compared with NMR experiments. The N = 3, d = 2, 3 models describe Heisenberg antiferromagnets with collinear Néel correlations, and experimental realizations of quantum-critical behavior in these systems are discussed. Finally, the N = 2, d = 2 model describes the superfluid-insulator transition in lattice boson systems: the frequency and temperature dependence of the the conductivity at the quantum-critical coupling is described and implications for experiments in two-dimensional thin films and inversion layers are noted.

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Neutron Scattering Studies of Antiferromagnetic Correlations in Cuprates

Tranquada

2006

ChemInform

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Spin correlations in the 2D Heisenberg antiferromagnetSr2CuO2

Cited by 140 publications

References 18 publications

D-theory: field theory via dimensional reduction of discrete variables

D-theory: field theory via dimensional reduction of discrete variables

Dynamics and Transport Near Quantum-Critical Points

Neutron Scattering Studies of Antiferromagnetic Correlations in Cuprates

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