Jörg Thomas, Katzgraber Helmut G, Krzakała Florent
LPTMS, UMR 8626 CNRS et Université Paris-Sud, Orsay Cedex, France.
Phys Rev Lett. 2008 May 16;100(19):197202. doi: 10.1103/PhysRevLett.100.197202. Epub 2008 May 13.
We study the existence of a spin-glass phase in a field using Monte Carlo simulations performed along a nontrivial path in the field-temperature plane that must cross any putative de Almeida-Thouless instability line. The method is first tested on the Ising spin glass on a Bethe lattice where the instability line separating the spin glass from the paramagnetic state is also computed analytically. While the instability line is reproduced by our simulations on the mean-field Bethe lattice, no such instability line can be found numerically for the short-range three-dimensional model.
我们通过在磁场-温度平面上沿着一条非平凡路径进行的蒙特卡罗模拟，研究磁场中自旋玻璃相的存在情况，该路径必须穿过任何假定的德阿尔梅达-索利斯不稳定线。该方法首先在贝塞晶格上的伊辛自旋玻璃上进行测试，其中将自旋玻璃与顺磁态分开的不稳定线也通过解析计算得出。虽然我们在平均场贝塞晶格上的模拟再现了不稳定线，但对于短程三维模型，在数值上找不到这样的不稳定线。
