The Experts below are selected from a list of 10236 Experts worldwide ranked by ideXlab platform
Petter Holme - One of the best experts on this subject based on the ideXlab platform.
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Transition in the two-dimensional step model : A Kosterlitz-Thouless transition in disguise
Physical Review B, 2001Co-Authors: Peter Olsson, Petter HolmeAbstract:Evidence for a Kosterlitz-Thouless transition in the two-dimensional (2D) step model is obtained from Monte Carlo determinations of the helicity modulus. It is argued that the free energy of a single vortex at the center of the system depends logarithmically on the system size in spite of the fact that the spin interaction is not harmonic for small differences in the spin angles. We conclude that this is the reason for the Kosterlitz-Thouless transition in the 2D step model and that the harmonic spin interaction not is a necessary requirement.
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The Transition in the Two-Dimensional Step Model: A Kosterlitz-Thouless Transition in Disguise
arXiv: Statistical Mechanics, 2000Co-Authors: Peter Olsson, Petter HolmeAbstract:Evidence for a Kosterlitz-Thouless transition in the 2D step model is obtained from Monte Carlo determinations of the helicity modulus. It is argued that the free energy of a single vortex at the center of the system depends logarithmically on the system size in spite of the fact that the spin interaction is not harmonic for small differences in the spin angles. We conclude that this is the reason for the Kosterlitz-Thouless transition in the 2D step model and that the harmonic spin interaction not is a necessary requirement.
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The Transition in the Two-Dimensional Step Model: A Kosterlitz-Thouless Transition in Disguise
arXiv: Statistical Mechanics, 2000Co-Authors: Peter Olsson, Petter HolmeAbstract:Evidence for a Kosterlitz-Thouless transition in the 2D step model is obtained from Monte Carlo determinations of the helicity modulus. It is argued that the free energy of a single vortex at the center of the system depends logarithmically on the system size in spite of the fact that the spin interaction is not harmonic for small differences in the spin angles. We conclude that this is the reason for the Kosterlitz-Thouless transition in the 2D step model and that the harmonic spin interaction not is a necessary requirement.
Peter Olsson - One of the best experts on this subject based on the ideXlab platform.
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Transition in the two-dimensional step model : A Kosterlitz-Thouless transition in disguise
Physical Review B, 2001Co-Authors: Peter Olsson, Petter HolmeAbstract:Evidence for a Kosterlitz-Thouless transition in the two-dimensional (2D) step model is obtained from Monte Carlo determinations of the helicity modulus. It is argued that the free energy of a single vortex at the center of the system depends logarithmically on the system size in spite of the fact that the spin interaction is not harmonic for small differences in the spin angles. We conclude that this is the reason for the Kosterlitz-Thouless transition in the 2D step model and that the harmonic spin interaction not is a necessary requirement.
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The Transition in the Two-Dimensional Step Model: A Kosterlitz-Thouless Transition in Disguise
arXiv: Statistical Mechanics, 2000Co-Authors: Peter Olsson, Petter HolmeAbstract:Evidence for a Kosterlitz-Thouless transition in the 2D step model is obtained from Monte Carlo determinations of the helicity modulus. It is argued that the free energy of a single vortex at the center of the system depends logarithmically on the system size in spite of the fact that the spin interaction is not harmonic for small differences in the spin angles. We conclude that this is the reason for the Kosterlitz-Thouless transition in the 2D step model and that the harmonic spin interaction not is a necessary requirement.
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The Transition in the Two-Dimensional Step Model: A Kosterlitz-Thouless Transition in Disguise
arXiv: Statistical Mechanics, 2000Co-Authors: Peter Olsson, Petter HolmeAbstract:Evidence for a Kosterlitz-Thouless transition in the 2D step model is obtained from Monte Carlo determinations of the helicity modulus. It is argued that the free energy of a single vortex at the center of the system depends logarithmically on the system size in spite of the fact that the spin interaction is not harmonic for small differences in the spin angles. We conclude that this is the reason for the Kosterlitz-Thouless transition in the 2D step model and that the harmonic spin interaction not is a necessary requirement.
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Estimate of the critical region for the Kosterlitz-Thouless transition.
Physical review. B Condensed matter, 1992Co-Authors: Petter Minnhagen, Peter OlssonAbstract:The width of the critical region for the Kosterlitz-Thouless transition is estimated and found to be extremely narrow. The estimate is based on a numerical solution of a set of renormalization equations for the two-dimensional Coulomb gas. It is concluded that the Kosterlitz-Thouless critical behavior cannot be observed in the resistance data for quasi-two-dimensional superconductors. The implications for the quasi-two-dimensionality of high-${\mathit{T}}_{\mathit{c}}$ superconductors are discussed.
Yukitoshi Motome - One of the best experts on this subject based on the ideXlab platform.
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thermally induced phases in an ising kondo lattice model on a triangular lattice partial disorder and Kosterlitz thouless state
Physical Review B, 2013Co-Authors: Hiroaki Ishizuka, Yukitoshi MotomeAbstract:Magnetic and electronic properties of a Kondo lattice model with Ising localized spins are studied on an isotropic triangular lattice. By using Monte Carlo simulation, we present that the model shows a rich phase diagram with four dominant states: two-sublattice stripe, three-sublattice ferrimganetic, partially disordered, and Kosterlitz-Thouless like quasi-long-range ordered states. Among them, the partially disordered state and Kosterlitz-Thouless like state are intermediate phases induced by thermal fluctuations in the phase competing regime; they are present only at finite temperatures and eventually taken over by another phases as the temperature is further lowered. Although the Kosterlitz-Thouless like state was found also in triangular Ising antiferromagnets with further-neighbor interactions, the partially disordered state has not been reported in the localized spin only models in two dimensions. Interestingly, the partially disordered phase is also peculiar in the charge degree of freedom of itinerant electrons; it is insulating and accompanied by charge disproportionation. From a combined analysis of a mean-field calculation of the band structure and Monte Carlo simulation, we conclude that the partial disorder in the present model is stabilized by the Slater mechanism.
Martin Hasenbusch - One of the best experts on this subject based on the ideXlab platform.
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The Binder Cumulant at the Kosterlitz-Thouless Transition
Journal of Statistical Mechanics: Theory and Experiment, 2008Co-Authors: Martin HasenbuschAbstract:We study the behaviour of the Binder cumulant on finite square lattices at the Kosterlitz-Thouless phase transition. We determine the fixed point value of the Binder cumulant and the coefficient of the leading logarithmic correction. These calculations are supplemented with Monte Carlo simulations of the classical XY (plane rotator) model, the Villain model and the dual of the absolute value solid-on-solid model. Using the single cluster algorithm, we simulate lattices up to L=4096. For the lattice sizes reached, subleading corrections are needed to fit the data for the Binder cumulant. We demonstrate that the combined analysis of the Binder cumulant and the second moment correlation length over the lattice size allows for an accurate determination of the Kosterlitz-Thouless transition temperature on relatively small lattices. We test the new method at the example of the 2-component phi^4 model on the lattice.
Gary A. Williams - One of the best experts on this subject based on the ideXlab platform.
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Quenched Kosterlitz-Thouless Superfluid Transitions
Physical review letters, 2001Co-Authors: Han-ching Chu, Gary A. WilliamsAbstract:Rapidly quenched Kosterlitz-Thouless (KT) superfluid tran sitions are studied by solving the Fokker-Planck equation for the vortex-pair dynamics in conjunction with the KT recursion relations. Power-law decays of the vortex density at long times are found, and the results are in agreement with a scaling proposal made by Minnhagen and co-workers for the dynamical critical exponent. The superfluid density is strongly depressed after a quench, with the subsequent recovery being logarithmically slow for starting temperatures near TKT . No evidence is found of vortices being ”created” in a rapid quench, there is only decay of the existing thermal vortex pairs.
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Quenched Kosterlitz–Thouless superfluid transitions
Physica B: Condensed Matter, 2000Co-Authors: Han-ching Chu, Gary A. WilliamsAbstract:Abstract The properties of rapidly quenched superfluid phase transitions are computed for two-dimensional Kosterlitz–Thouless (KT) systems. The decay in the vortex-pair density and the recovery of the superfluid density after a quench are found by solving the Fokker–Planck equation describing the vortex dynamics, in conjunction with the KT recursion relations. The vortex density is found to decay approximately as the inverse of the time from the quench, in agreement with computer simulations and with scaling theories.
