Vortex dynamics for two-dimensional XY models
Vortex dynamics for two-dimensional XY models
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DOI：
10.1103/physrevb.59.11506
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发表时间：
1998-06
影响因子：
3.7
通讯作者：
Beom Jun Kim;P. Minnhagen;P. Olsson
中科院分区：
文献类型：
--
作者：
Beom Jun Kim;P. Minnhagen;P. Olsson
Two-dimensional $\mathrm{XY}$ models with resistively shunted junction (RSJ) dynamics and time dependent Ginzburg-Landau (TDGL) dynamics are simulated and it is verified that the vortex response is well described by the Minnhagen phenomenology for both types of dynamics. Evidence is presented supporting that the dynamical critical exponent z in the low-temperature phase is given by the scaling prediction (expressed in terms of the Coulomb gas temperature ${T}^{\mathrm{CG}}$ and the vortex renormalization given by the dielectric constant $\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{\ensuremath{\epsilon}}) z=1/\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{\ensuremath{\epsilon}}{T}^{\mathrm{CG}}\ensuremath{-}2g~2$ both for RSJ and TDGL and that the nonlinear $\mathrm{IV}$ exponent a is given by $a=z+1$ in the low-temperature phase. The results are discussed and compared with the results of other recent papers and the importance of the boundary conditions is emphasized.
Two-dimensional $\mathrm{XY}$ models with resistively shunted junction (RSJ) dynamics and time dependent Ginzburg-Landau (TDGL) dynamics are simulated and it is verified that the vortex response is well described by the Minnhagen phenomenology for both types of dynamics. Evidence is presented supporting that the dynamical critical exponent z in the low-temperature phase is given by the scaling prediction (expressed in terms of the Coulomb gas temperature ${T}^{\mathrm{CG}}$ and the vortex renormalization given by the dielectric constant $\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{\ensuremath{\epsilon}}) z=1/\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{\ensuremath{\epsilon}}{T}^{\mathrm{CG}}\ensuremath{-}2g~2$ both for RSJ and TDGL and that the nonlinear $\mathrm{IV}$ exponent a is given by $a=z+1$ in the low-temperature phase. The results are discussed and compared with the results of other recent papers and the importance of the boundary conditions is emphasized.