Interference of directed paths in disordered systems.
Interference of directed paths in disordered systems.
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DOI：
10.1103/physrevlett.62.941
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发表时间：
1989-02
影响因子：
8.6
通讯作者：
Ernesto Antonio Medina Dagger;Kardar;Shapir;Wang
中科院分区：
文献类型：
--
作者：
Ernesto Antonio Medina Dagger;Kardar;Shapir;Wang
我们考虑有向路径上的和，由于控制每个项的相位或符号的淬火随机元素而干扰。前者进入了局域态电子输运的测定，后者进入了伊辛自旋玻璃高温相相关的测定。二维数值计算表明由非典型路径主导的异常波动，其缩放行为类似于随机但正的杂质。由于复制空间中对之间的微妙吸引力，这被认为是从束缚状态开始的。
We consider sums over directed paths, interfering due to quenched random elements controlling either the phase or the sign of each term. The former enter the determination of electronic transport in the localized regime, and the latter that of correlations in the high-temperature phase of the Ising spin-glass. Numerical computations in two dimensions indicate anomalous fluctuations dominated by untypical paths, with scaling behavior similar to that of random but positive impurities. This is argued to follow from a bound state, due to a subtle attraction between pairs, in replica space.