Many-body localization in a quasiperiodic Fibonacci chain

被引:52
作者
Mace, Nicolas [1 ]
Laflorencie, Nicolas [1 ]
Alet, Fabien [1 ]
机构
[1] Univ Toulouse, IRSAMC, Lab Phys Theor, CNRS,UPS, F-31062 Toulouse, France
关键词
2 INTERACTING PARTICLES; SPECTRUM; CRYSTALLINE; FERMIONS; SYSTEM; CHAOS;
D O I
10.21468/SciPostPhys.6.4.050
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the many-body localization (MBL) properties of a chain of interacting fermions subject to a quasiperiodic potential such that the non-interacting chain is always delocalized and displays multifractality. Contrary to naive expectations, adding interactions in this systems does not enhance delocalization, and a MBL transition is observed. Due to the local properties of the quasiperiodic potential, the MBL phase presents specific features, such as additional peaks in the density distribution. We furthermore investigate the fate of multifractality in the ergodic phase for low potential values. Our analysis is based on exact numerical studies of eigenstates and dynamical properties after a quench.
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页数:24
相关论文
共 102 条
[41]   Critical Properties of the Many-Body Localization Transition [J].
Khemani, Vedika ;
Lim, S. P. ;
Sheng, D. N. ;
Huse, David A. .
PHYSICAL REVIEW X, 2017, 7 (02)
[42]   Ballistic Spreading of Entanglement in a Diffusive Nonintegrable System [J].
Kim, Hyungwon ;
Huse, David A. .
PHYSICAL REVIEW LETTERS, 2013, 111 (12)
[43]   Many-Body Localization in a Disordered Quantum Ising Chain [J].
Kjaell, Jonas A. ;
Bardarson, Jens H. ;
Pollmann, Frank .
PHYSICAL REVIEW LETTERS, 2014, 113 (10)
[44]   Topological States and Adiabatic Pumping in Quasicrystals [J].
Kraus, Yaacov E. ;
Lahini, Yoav ;
Ringel, Zohar ;
Verbin, Mor ;
Zilberberg, Oded .
PHYSICAL REVIEW LETTERS, 2012, 109 (10)
[45]   Many-body localization in spin chain systems with quasiperiodic fields [J].
Lee, Mac ;
Look, Thomas R. ;
Lim, S. P. ;
Sheng, D. N. .
PHYSICAL REVIEW B, 2017, 96 (07)
[46]   One-particle density matrix occupation spectrum of many-body localized states after a global quench [J].
Lezama, Talia L. M. ;
Bera, Soumya ;
Schomerus, Henning ;
Heidrich-Meisner, Fabian ;
Bardarson, Jens H. .
PHYSICAL REVIEW B, 2017, 96 (06)
[47]   Statistical bubble localization with random interactions [J].
Li, Xiaopeng ;
Deng, Dong-Ling ;
Wu, Yang-Le ;
Das Sarma, S. .
PHYSICAL REVIEW B, 2017, 95 (02)
[48]   Many-body localization and transition by density matrix renormalization group and exact diagonalization studies [J].
Lim, S. P. ;
Sheng, D. N. .
PHYSICAL REVIEW B, 2016, 94 (04)
[49]  
Lothaire M., 2002, ALGEBRAIC COMBINATOR, DOI DOI 10.1017/CBO9781107326019
[50]   PHONON-SPECTRA IN ONE-DIMENSIONAL QUASI-CRYSTALS [J].
LUCK, JM ;
PETRITIS, D .
JOURNAL OF STATISTICAL PHYSICS, 1986, 42 (3-4) :289-310