Clustering of Nonergodic Eigenstates in Quantum Spin Glasses

被引:36
作者
Baldwin, C. L. [1 ,2 ]
Laumann, C. R. [1 ]
Pal, A. [3 ]
Scardicchio, A. [4 ,5 ]
机构
[1] Boston Univ, Dept Phys, Boston, MA 02215 USA
[2] Univ Washington, Dept Phys, Seattle, WA 98195 USA
[3] Univ Oxford, Rudolf Peierls Ctr Theoret Phys, Oxford OX1 3NP, England
[4] Abdus Salam ICTP Trieste, Str Costiera 11, I-34151 Trieste, Italy
[5] Ist Nazl Fis Nucl, Sezione Trieste, Via Valerio 2, I-34127 Trieste, Italy
基金
美国国家科学基金会;
关键词
MANY-BODY LOCALIZATION; SOLVABLE MODEL; TRANSITION; SYSTEM; PHASE; INSULATOR;
D O I
10.1103/PhysRevLett.118.127201
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The two primary categories for eigenstate phases of matter at a finite temperature are many-body localization (MBL) and the eigenstate thermalization hypothesis (ETH). We show that, in the paradigmatic quantum p-spin models of the spin-glass theory, eigenstates violate the ETH yet are not MBL either. A mobility edge, which we locate using the forward-scattering approximation and replica techniques, separates the nonergodic phase at a small transverse field from an ergodic phase at a large transverse field. The nonergodic phase is also bounded from above in temperature, by a transition in configuration-space statistics reminiscent of the clustering transition in the spin-glass theory. We show that the nonergodic eigenstates are organized in clusters which exhibit distinct magnetization patterns, as characterized by an eigenstate variant of the Edwards-Anderson order parameter.
引用
收藏
页数:6
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