Flatbands under Correlated Perturbations

被引：139
作者：
Bodyfelt, Joshua D. [1 ]
Leykam, Daniel [2 ]
Danieli, Carlo [1 ]
Yu, Xiaoquan [1 ]
Flach, Sergej [1 ]
机构：
[1] Massey Univ, New Zealand Inst Adv Study, Ctr Theoret Chem & Phys, Auckland 0745, New Zealand
[2] Australian Natl Univ, Res Sch Phys & Engn, Nonlinear Phys Ctr, Canberra, ACT 0200, Australia
来源：
PHYSICAL REVIEW LETTERS | 2014年 / 113卷 / 23期
基金：
澳大利亚研究理事会;
关键词：
HUBBARD-MODEL; MOBILITY EDGE; GROUND-STATES; LOCALIZATION; FERROMAGNETISM; SYSTEMS; ABSENCE;
D O I：
10.1103/PhysRevLett.113.236403
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Flatband networks are characterized by the coexistence of dispersive and flatbands. Flatbands (FBs) are generated by compact localized eigenstates (CLSs) with local network symmetries, based on destructive interference. Correlated disorder and quasiperiodic potentials hybridize CLSs without additional renormalization, yet with surprising consequences: (i) states are expelled from the FB energy E-FB, (ii) the localization length of eigenstates vanishes as xi similar to 1/ ln(E - E-FB), (iii) the density of states diverges logarithmically (particle-hole symmetry) and algebraically (no particle-hole symmetry), and (iv) mobility edge curves show algebraic singularities at E-FB. Our analytical results are based on perturbative expansions of the CLSs and supported by numerical data in one and two lattice dimensions.
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页数：5
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