Phase transtions in frustrated two-dimensionalXYmodels

作者: S. Teitel , C. Jayaprakash

DOI: 10.1103/PHYSREVB.27.598

关键词: Phase (matter)Mathematical OperatorsJosephson effectSquare latticeHelicityCoupling (probability)Condensed matter physicsZero (complex analysis)PhysicsPhase transition

摘要: We study the fully frustrated $\mathrm{XY}$ model on a square lattice with use of Monte Carlo simulations. find phase transition at finite temperature ${T}_{I}$ specific-heat data being consistent logarithmic divergence. The helicity modulus $\ensuremath{\Upsilon}$ jumps to zero value $\frac{\ensuremath{\Upsilon}}{{k}_{B}T}\ensuremath{\gtrsim}\frac{2}{\ensuremath{\pi}}$ $T\ensuremath{\lesssim}{T}_{I}$. application models behavior coupled Josephson junction arrays is discussed.

参考文章(13)
J M Kosterlitz, D J Thouless, Ordering, metastability and phase transitions in two-dimensional systems Journal of Physics C: Solid State Physics. ,vol. 6, pp. 1181- 1203 ,(1973) , 10.1088/0022-3719/6/7/010
J M Kosterlitz, The critical properties of the two-dimensional xy model Journal of Physics C: Solid State Physics. ,vol. 7, pp. 1046- 1060 ,(1974) , 10.1088/0022-3719/7/6/005
D. J. Resnick, J. C. Garland, J. T. Boyd, S. Shoemaker, R. S. Newrock, Kosterlitz-Thouless Transition in Proximity-Coupled Superconducting Arrays Physical Review Letters. ,vol. 47, pp. 1542- 1545 ,(1981) , 10.1103/PHYSREVLETT.47.1542
Richard F. Voss, Richard A. Webb, Phase coherence in a weakly coupled array of 20 000 Nb Josephson Junctions Physical Review B. ,vol. 25, pp. 3446- 3449 ,(1982) , 10.1103/PHYSREVB.25.3446
J Villain, Spin glass with non-random interactions Journal of Physics C: Solid State Physics. ,vol. 10, pp. 1717- 1734 ,(1977) , 10.1088/0022-3719/10/10/014
Eduardo Fradkin, B. A. Huberman, Stephen H. Shenker, Gauge symmetries in random magnetic systems Physical Review B. ,vol. 18, pp. 4789- 4814 ,(1978) , 10.1103/PHYSREVB.18.4789
Monte Carlo Methods in Statistical Physics Monte Carlo Methods in Statistical Physics. Series: Topics in Current Physics. ,vol. 7, ,(1979) , 10.1007/978-3-642-96483-1
Takao Ohta, David Jasnow, XYmodel and the superfluid density in two dimensions Physical Review B. ,vol. 20, pp. 139- 146 ,(1979) , 10.1103/PHYSREVB.20.139
David R. Nelson, J. M. Kosterlitz, Universal Jump in the Superfluid Density of Two-Dimensional Superfluids Physical Review Letters. ,vol. 39, pp. 1201- 1205 ,(1977) , 10.1103/PHYSREVLETT.39.1201
Jan Tobochnik, G. V. Chester, Monte Carlo study of the planar spin model Physical Review B. ,vol. 20, pp. 3761- 3769 ,(1979) , 10.1103/PHYSREVB.20.3761