- Physical Review Journals
All JournalsPhysics Magazine

Physical Review B

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter

Quantum phase with coexisting localized, extended, and critical zones

Yucheng Wang1,2,3, Long Zhang4, Wei Sun5, Ting-Fung Jeffrey Poon6,7, and Xiong-Jun Liu6,7,1,*

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

  • *Corresponding author: xiongjunliu@pku.edu.cn
PDF

Phys. Rev. B 106, L140203 – Published 27 October, 2022

DOI: https://doi.org/10.1103/PhysRevB.106.L140203

Abstract

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.

View figure in article

Physics Subject Headings (PhySH)

Authorization Required

We need you to provide your credentials before accessing this content.

Other Options

Supplemental Material (Subscription Required)

References (Subscription Required)

Outline

Information

Phys. Rev. B 106, L140203– Published 27 October, 2022
  • Received 20 February 2022
  • Revised 31 July 2022
  • Accepted 19 October 2022
Crossmark - Check for updates button

©2022 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation