Global phase diagram of the one-dimensional Sachdev-Ye-Kitaev model at finite N

被引:10
作者
Dai, Xin [1 ,2 ]
Jian, Shao-Kai [1 ,3 ]
Yao, Hong [1 ,4 ]
机构
[1] Tsinghua Univ, Inst Adv Study, Beijing 100084, Peoples R China
[2] Ohio State Univ, Dept Phys, 174 W 18th Ave, Columbus, OH 43210 USA
[3] Univ Maryland, Dept Phys, Condensed Matter Theory Ctr, College Pk, MD 20742 USA
[4] Tsinghua Univ, State Key Lab Low Dimens Quantum Phys, Beijing 100084, Peoples R China
基金
中国国家自然科学基金; 北京市自然科学基金;
关键词
FIELD-THEORY; DELOCALIZATION; TRANSITION;
D O I
10.1103/PhysRevB.100.235144
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Many key features of the higher-dimensional Sachdev-Ye-Kitaev (SYK) model at finite N remain unknown. Here we study the SYK chain consisting of N (N >= 2) fermions per site with random interactions and hoppings between neighboring sites. In the limit of vanishing SYK interactions, from both supersymmetric field theory analysis and numerical calculations we find that the random hopping model exhibits Anderson localization at finite N, irrespective of the parity of N. Moreover, the localization length scales linearly with N, implying no Anderson localization only at N = infinity. For finite SYK interaction J, from the exact diagonalization we show that there is a dynamic phase transition between many-body localization and thermal diffusion as J exceeds a critical value J(c). In addition, we find that the critical value J(c) decreases with the increase of N, qualitatively consistent with the analytical result of J(c)/t proportional to 1/N(5/2)logN derived from the weakly interacting limit.
引用
收藏
页数:8
相关论文
共 82 条
  • [11] Solvable model for a dynamical quantum phase transition from fast to slow scrambling
    Banerjee, Sumilan
    Altman, Ehud
    [J]. PHYSICAL REVIEW B, 2017, 95 (13)
  • [12] Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
    Basko, DM
    Aleiner, IL
    Altshuler, BL
    [J]. ANNALS OF PHYSICS, 2006, 321 (05) : 1126 - 1205
  • [13] Higher dimensional generalizations of the SYK model
    Berkooz, Mich
    Narayan, Prithvi
    Rozali, Moshe
    Simon, Joan
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2017, (01):
  • [14] Instability of the non-Fermi- liquid state of the Sachdev-Ye-Kitaev model
    Bi, Zhen
    Jian, Chao-Ming
    You, Yi-Zhuang
    Pawlak, Kelly Ann
    Xu, Cenke
    [J]. PHYSICAL REVIEW B, 2017, 95 (20)
  • [15] A quantum hydrodynamical description for scrambling and many-body chaos
    Blake, Mike
    Lee, Hyunseok
    Liu, Hong
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2018, (10):
  • [16] Density of states in coupled chains with off-diagonal disorder
    Brouwer, PW
    Mudry, C
    Furusaki, A
    [J]. PHYSICAL REVIEW LETTERS, 2000, 84 (13) : 2913 - 2916
  • [17] Delocalization in coupled one-dimensional chains
    Brouwer, PW
    Mudry, C
    Simons, BD
    Altland, A
    [J]. PHYSICAL REVIEW LETTERS, 1998, 81 (04) : 862 - 865
  • [18] Diffusion in higher dimensional SYK model with complex fermions
    Cai, Wenhe
    Ge, Xian-Hui
    Yang, Guo-Hong
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2018, (01):
  • [19] Competition between Chaotic and Nonchaotic Phases in a Quadratically Coupled Sachdev-Ye-Kitaev Model
    Chen, Xin
    Fan, Ruihua
    Chen, Yiming
    Zhai, Hui
    Zhang, Pengfei
    [J]. PHYSICAL REVIEW LETTERS, 2017, 119 (20)
  • [20] Tunable quantum chaos in the Sachdev-Ye-Kitaev model coupled to a thermal bath
    Chen, Yiming
    Zhai, Hui
    Zhang, Pengfei
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2017, (07):