Multifractality and Fock-space localization in many-body localized states: One-particle density matrix perspective

arXiv: Disordered Systems and Neural Networks Pub Date : 2021-04-19 DOI:10.1103/PhysRevB.103.214206

Takahiro Orito, K. Imura

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引用次数: 5

Abstract

Many-body localization (MBL) is well characterized in Fock space. To quantify the degree of this Fock space localization, the multifractal dimension $D_q$ is employed; it has been claimed that $D_q$ shows a jump from the delocalized value $D_q=1$ in the ETH phase (ETH: eigenstate thermalization hypothesis) to a smaller value $0

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多体定域态中的多重分形和fock空间定域:单粒子密度矩阵视角

多体定位(MBL)在Fock空间中具有很好的特征。为了量化这种Fock空间局部化的程度，采用多重分形维数$D_q$;有人声称$D_q$在ETH相(ETH:本征态热化假设)中显示出从离域值$D_q=1$到ETH-MBL跃迁的较小值$0

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