期刊
PHYSICAL REVIEW B
卷 101, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.101.024201
关键词
-
资金
- National Science Foundation [ACI-1548562, CHE-1462075]
- Tulane University Bridge Fund
- MPIPKS (Dresden, Germany)
- NSF at the Pittsburgh Supercomputing Center (PSC) [ACI-1445606]
We investigate many-body localization in the chain of interacting spins with a transverse power-law interaction, J(0)/r(alpha), and random on-site potentials, phi(i) is an element of (-W/2, W/2), in the long-range limit, alpha < 3/2, which has been recently examined experimentally on trapped ions. The many-body localization threshold is characterized by the critical disordering, W-c, which separates localized (W > W-c) and chaotic (W < W-c) phases. Using the analysis of the instability of localized states with respect to resonant interactions complemented by numerical finite-size scaling, we show that the critical disordering scales with the number of spins, N, as W-c approximate to [1.37J(0)/(4/3 - alpha)]N4/3-alpha ln N for 0 < alpha <= 1, and as W-c approximate to [J(0)/(1 - 2 alpha/3)]N(1-2 alpha/3 )ln(2/3) N for 1 < alpha < 3/2, while the transition width scales as sigma(w) proportional to W-c/N. We use this result to predict the spin long-term evolution for a very large number of spins (N = 50), inaccessible for exact diagonalization, and to suggest the rescaling of hopping interaction with the system size to attain the localization transition at finite disordering in the thermodynamic limit of infinite number of spins.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据