We consider a one dimensional discrete Schrodinger equation with a quasiperiodic potential which exhibits mobility edges, Using multifractal analysis we show that the states at the mobility edge have a stable multifractal spectrum. Further, we show that the transition from extended to localized states can be described by using the width of the multifractal spectrum as an order parameter.
机构:
Beijing National Laboratory for Condensed Matter Physics,Institute of Physics Chinese Academy of Sciences
School of Physical Sciences University of Chinese Academy of Sciences
Peng Huanwu Center for Fundamental Theory
Songshan Lake Materials LaboratoryBeijing National Laboratory for Condensed Matter Physics,Institute of Physics Chinese Academy of Sciences
机构:
Univ Maryland, Condensed Matter Theory Ctr, College Pk, MD 20742 USA
Univ Maryland, Joint Quantum Inst, College Pk, MD 20742 USA
City Univ Hong Kong, Dept Phys, Kowloon, Hong Kong, Peoples R China
City Univ Hong Kong, Shenzhen Res Inst, Shenzhen 518057, Guangdong, Peoples R ChinaUniv Maryland, Condensed Matter Theory Ctr, College Pk, MD 20742 USA
Li, Xiao
Das Sarma, S.
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机构:
Univ Maryland, Condensed Matter Theory Ctr, College Pk, MD 20742 USA
Univ Maryland, Joint Quantum Inst, College Pk, MD 20742 USAUniv Maryland, Condensed Matter Theory Ctr, College Pk, MD 20742 USA
机构:
Chinese Acad Sci, Inst Phys, Beijing Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R China
Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R ChinaChinese Acad Sci, Inst Phys, Beijing Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R China
Jiang, Xiang-Ping
Qiao, Yi
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机构:
Chinese Acad Sci, Inst Phys, Beijing Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R ChinaChinese Acad Sci, Inst Phys, Beijing Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R China
Qiao, Yi
Cao, Jun-Peng
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机构:
Chinese Acad Sci, Inst Phys, Beijing Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R China
Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China
Songshan Lake Mat Lab, Dongguan 523808, Peoples R China
Peng Huanwu Ctr Fundamental Theory, Xian 710127, Peoples R ChinaChinese Acad Sci, Inst Phys, Beijing Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R China
机构:
Department of Physics, Condensed Matter Theory Center, Joint Quantum Institute, University of Maryland, College Park, 20742, MDDepartment of Physics, Condensed Matter Theory Center, Joint Quantum Institute, University of Maryland, College Park, 20742, MD
Vu D.
Das Sarma S.
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机构:
Department of Physics, Condensed Matter Theory Center, Joint Quantum Institute, University of Maryland, College Park, 20742, MDDepartment of Physics, Condensed Matter Theory Center, Joint Quantum Institute, University of Maryland, College Park, 20742, MD