Quantum phase with coexisting localized, extended, and critical zones

Wang，Yucheng1,2,3; Zhang，Long4; Sun，Wei5; Poon，Ting Fung Jeffrey6,7; Liu，Xiong Jun1,6,7

2022-10-01

10.1103/PhysRevB.106.L140203

Physical Review B   Impact Factor & Quartile

2469-9950

2469-9969

Conventionally a mobility edge (ME) marks a critical energy that separates two different transport zones where all states are extended and localized, respectively. Here we propose a quasiperiodic spin-orbit coupled lattice model with experimental feasibility to realize a quantum phase with three coexisting energy-dependent zones, i.e., the extended, critical, and localized zones, and uncover the underlying generic mechanism for the occurrence of this quantum phase. Accordingly, this phase exhibits types of MEs which separate the extended states from critical ones and the localized states from critical ones, respectively. We introduce the diagnostic quantities to characterize and distinguish the different zones and show that the predicted phase can be detected by measuring the fractal dimension or conductivities. The experimental realization is also proposed and studied. This work extends the concept of ME and enriches the quantum phases in disordered systems, which sheds light on searching for localization and critical phenomena with transport and thermoelectric effects.

SCI ; EI

English

First

WOS:000880197300004

20224613105305

Quantum chemistry ; Quantum theory

Physical Chemistry:801.4 ; Mathematics:921 ; Quantum Theory; Quantum Mechanics:931.4

2-s2.0-85141591348

Scopus

1.Shenzhen Institute for Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
2.International Quantum Academy,Shenzhen,518048,China
3.Guangdong Provincial Key Laboratory of Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
4.School of Physics and Institute for Quantum Science and Engineering,Huazhong University of Science and Technology,Wuhan,430074,China
5.Department of Physics,Southern University of Science and Technology,Shenzhen,518055,China
6.International Center for Quantum Materials,School of Physics,Peking University,Beijing,100871,China
7.Collaborative Innovation Center of Quantum Matter,Beijing,100871,China

Wang，Yucheng,Zhang，Long,Sun，Wei,et al. Quantum phase with coexisting localized, extended, and critical zones[J]. Physical Review B,2022,106(14).

Wang，Yucheng,Zhang，Long,Sun，Wei,Poon，Ting Fung Jeffrey,&Liu，Xiong Jun.(2022).Quantum phase with coexisting localized, extended, and critical zones.Physical Review B,106(14).

Wang，Yucheng,et al."Quantum phase with coexisting localized, extended, and critical zones".Physical Review B 106.14(2022).