DISORDER-INDUCED DELOCALIZATION ON TREE GRAPHS

被引：0
|
作者：
Aizenman, Michael [1 ,2 ]
Warzel, Simone [3 ]
机构：
[1] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA
[2] Princeton Univ, Dept Math, Princeton, NJ 08544 USA
[3] Tech Univ Munich, Zentrum Math, D-85747 Garching, Germany
来源：
MATHEMATICAL RESULTS IN QUANTUM PHYSICS | 2011年
关键词：
Random operators; absolutely continuous spectrum; Lifshits tail regime; ABSOLUTELY CONTINUOUS-SPECTRUM; ANDERSON MODEL; LOCALIZATION; SYSTEM; STATES;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Highlighting a mechanism for the emergence of absolutely continuous spectrum through fluctuation-enabled resonance, we resolve an existing question concerning the mobility edge for Schrodinger operators with random (unbounded) potential on regular tree graphs. We find that the disorder driven resonance mechanism causes the somewhat surprising appearance of absolutely continuous spectrum well beyond the energy band of the operator's hopping term. For weak disorder this includes a Lifshits tail regime of very low density of states.
引用
收藏
页码：107 / 109
页数：3
相关论文
共 50 条
  • [1] Disorder-induced delocalization in an incommensurate potential
    Onoda, Masaru
    Nagaosa, Naoto
    PHYSICAL REVIEW B, 2006, 74 (12):
  • [2] Disorder-induced transverse delocalization in ropes of carbon nanotubes
    Ferrier, M.
    Chepelianskii, A.
    Gueron, S.
    Bouchiat, H.
    PHYSICAL REVIEW B, 2008, 77 (19):
  • [3] Klein Paradox and Disorder-Induced Delocalization of Dirac Quasiparticles in One-Dimensional Systems
    袁建辉
    成泽
    尹淼
    曾其军
    Communications in Theoretical Physics, 2010, 54 (12) : 1129 - 1133
  • [4] Klein Paradox and Disorder-Induced Delocalization of Dirac Quasiparticles in One-Dimensional Systems
    Yuan Jian-Hui
    Cheng Ze
    Yin Miao
    Zeng Qi-Jun
    Zhang Jun-Pei
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2010, 54 (06) : 1129 - 1133
  • [5] Disorder-induced amorphization
    Lam, Nghi Q.
    Okamoto, Paul R.
    Li, Mo
    Journal of Nuclear Materials, 1997, 251 : 89 - 97
  • [6] Disorder-induced superfluidity
    Dang, Long
    Boninsegni, Massimo
    Pollet, Lode
    PHYSICAL REVIEW B, 2009, 79 (21):
  • [7] Disorder-induced amorphization
    Lam, NQ
    Okamoto, PR
    Li, M
    JOURNAL OF NUCLEAR MATERIALS, 1997, 251 : 89 - 97
  • [8] Disorder-induced polaritons
    Deych, LI
    Lisyansky, AA
    PHYSICS LETTERS A, 1996, 220 (1-3) : 125 - 130
  • [9] Disorder-induced delocalization in quantum wires: One-dimensional tight-binding ideal chain
    Xiong, Gang
    PHYSICAL REVIEW B, 2007, 76 (15)
  • [10] SUPERCONDUCTIVITY AND DISORDER-INDUCED LOCALIZATION
    DALLACASA, V
    FEDUZI, R
    PHYSICA C, 1994, 235 : 1297 - 1298
12345