Integrals of motion in the many-body localized phase
Integrals of motion in the many-body localized phase
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DOI：
10.1016/j.nuclphysb.2014.12.014
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发表时间：
2015-02-01
影响因子：
2.8
通讯作者：
Scardicchio, A.
中科院分区：
文献类型：
--
作者：
Ros, V.;Mueller, M.;Scardicchio, A.
我们构造了无序势场中相互作用费米子的多体定域相运动的准定域积分。运动积分可以被选择为具有二元谱{0，1}，从而构成费米绝缘体的精确准粒子占有数算符。我们映射到一个非厄米特跳跃问题的一个格在算子空间的问题。我们展示了如何在某些近似下将运动积分建立为相互作用强度的收敛级数。给出了它的收敛半径的估计，这也提供了多体定域-离域跃迁的估计。最后，我们讨论了运动积分的算子展开的性质如何意味着有限温度转变的存在或不存在。(C)2014作者由爱思唯尔公司出版
We construct a complete set of quasi-local integrals of motion for the many-body localized phase of interacting fermions in a disordered potential. The integrals of motion can be chosen to have binary spectrum {0, 1}, thus constituting exact quasiparticle occupation number operators for the Fermi insulator. We map the problem onto a non-Hermitian hopping problem on a lattice in operator space. We show how the integrals of motion can be built, under certain approximations, as a convergent series in the interaction strength. An estimate of its radius of convergence is given, which also provides an estimate for the many-body localization-delocalization transition. Finally, we discuss how the properties of the operator expansion for the integrals of motion imply the presence or absence of a finite temperature transition. (C) 2014 The Authors. Published by Elsevier B.V.