Duality in Power-Law Localization in Disordered One-Dimensional Systems

doi:10.1103/PhysRevLett.120.110602

	Duality in Power-Law Localization in Disordered One-Dimensional Systems
	Deng, X.4; Kravtsov, V. E.5,6; Shlyapnikov, G. V.1,2,3,7,8; Santos, L.4
刊名	PHYSICAL REVIEW LETTERS
	2018-03-16
卷号	120 期号:11
ISSN号	0031-9007
DOI	10.1103/PhysRevLett.120.110602
文献子类	Article
英文摘要	The transport of excitations between pinned particles in many physical systems may be mapped to single-particle models with power-law hopping, 1/r(a). For randomly spaced particles, these models present an effective peculiar disorder that leads to surprising localization properties. We show that in one-dimensional systems almost all eigenstates (except for a few states close to the ground state) are power-law localized for any value of a > 0. Moreover, we show that our model is an example of a new universality class of models with power-law hopping, characterized by a duality between systems with long-range hops (a < 1) and short-range hops (a > 1), in which the wave function amplitude falls off algebraically with the same power gamma from the localization center.
WOS关键词	DIAGONAL RANDOM MATRICES ; LONG-RANGE INTERACTIONS ; DENSITY-OF-STATES ; QUANTUM ; DELOCALIZATION ; PROPAGATION ; TRANSITION ; DYNAMICS
WOS研究方向	Physics
语种	英语
出版者	AMER PHYSICAL SOC
WOS记录号	WOS:000427642700002
资助机构	DFG(SFB 1227 DQ-mat ; DFG(SFB 1227 DQ-mat ; European Research Council under European Community's Seventh Framework Programme (FP7)(341197) ; European Research Council under European Community's Seventh Framework Programme (FP7)(341197) ; FOR2247) ; FOR2247) ; DFG(SFB 1227 DQ-mat ; DFG(SFB 1227 DQ-mat ; European Research Council under European Community's Seventh Framework Programme (FP7)(341197) ; European Research Council under European Community's Seventh Framework Programme (FP7)(341197) ; FOR2247) ; FOR2247) ; DFG(SFB 1227 DQ-mat ; DFG(SFB 1227 DQ-mat ; European Research Council under European Community's Seventh Framework Programme (FP7)(341197) ; European Research Council under European Community's Seventh Framework Programme (FP7)(341197) ; FOR2247) ; FOR2247) ; DFG(SFB 1227 DQ-mat ; DFG(SFB 1227 DQ-mat ; European Research Council under European Community's Seventh Framework Programme (FP7)(341197) ; European Research Council under European Community's Seventh Framework Programme (FP7)(341197) ; FOR2247) ; FOR2247)
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/12904]
专题	中国科学院武汉物理与数学研究所
通讯作者	Deng, X.
作者单位	1.Russian Quantum Ctr, Moscow 143025, Russia 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 3.Univ Amsterdam, Van der Waals Zeeman Inst, Sci Pk 904, NL-1098 XH Amsterdam, Netherlands 4.Leibniz Univ Hannover, Inst Theoret Phys, Appelstr 2, D-30167 Hannover, Germany 5.Abdus Salam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste, Italy 6.LD Landau Inst Theoret Phys, Chernogolovka 142432, Moscow Region, Russia 7.Univ Paris Saclay, Univ Paris Sud, CNRS, LPTMS, F-91405 Orsay, France 8.Univ Paris Saclay, CEA Saclay, CNRS, SPEC,CEA, F-91191 Gif Sur Yvette, France
推荐引用方式 GB/T 7714	Deng, X.,Kravtsov, V. E.,Shlyapnikov, G. V.,et al. Duality in Power-Law Localization in Disordered One-Dimensional Systems[J]. PHYSICAL REVIEW LETTERS,2018,120(11).
APA	Deng, X.,Kravtsov, V. E.,Shlyapnikov, G. V.,&Santos, L..(2018).Duality in Power-Law Localization in Disordered One-Dimensional Systems.PHYSICAL REVIEW LETTERS,120(11).
MLA	Deng, X.,et al."Duality in Power-Law Localization in Disordered One-Dimensional Systems".PHYSICAL REVIEW LETTERS 120.11(2018).