Delfino Gesualdo
SISSA-International School for Advanced Studies, via Bonomea 265, 34136 Trieste, Italy and INFN-Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, 34100 Trieste, Italy.
Phys Rev Lett. 2017 Jun 23;118(25):250601. doi: 10.1103/PhysRevLett.118.250601. Epub 2017 Jun 20.
We introduce an exact replica method for the study of critical systems with quenched bond randomness in two dimensions. For the q-state Potts model, we show that a line of renormalization group fixed points interpolates from weak to strong randomness as q-2 grows from small to large values. This theory exhibits a q-independent sector, and allows at the same time for a correlation length exponent which keeps the Ising value and continuously varying magnetization exponent and effective central charge. These findings appear to solve long-standing numerical and theoretical puzzles, and to illustrate the peculiarities which may characterize the conformal field theories of random fixed points.
我们引入一种精确的复制方法来研究二维具有淬火键无序的临界系统。对于q态Potts模型，我们表明随着q - 2从小值增长到大值，一条重整化群不动点线从小无序到强无序进行插值。该理论展现出一个与q无关的部分，并且同时允许关联长度指数保持伊辛值，以及磁化指数和有效中心电荷连续变化。这些发现似乎解决了长期存在的数值和理论难题，并说明了可能表征随机不动点共形场论的独特性质。
