Decay of Correlations in 2D Quantum Systems with Continuous Symmetry

被引：0
|
作者：
Costanza Benassi
Jürg Fröhlich
Daniel Ueltschi
机构：
[1] University of Warwick,Department of Mathematics
[2] ETH Zürich,Institut für Theoretische Physik
来源：
Annales Henri Poincaré | 2017年 / 18卷
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study a large class of models of two-dimensional quantum lattice systems with continuous symmetries, and we prove a general McBryan–Spencer–Koma–Tasaki theorem concerning algebraic decay of correlations. We present applications of our main result to the Heisenberg, Hubbard, and t-J models, and to certain models of random loops.
引用
收藏
页码：2831 / 2847
页数：16
相关论文
共 50 条
  • [41] Positive 2D continuous-discrete linear systems
    Kaczorek, T
    SYSTEM STRUCTURE AND CONTROL 1998 (SSC'98), VOLS 1 AND 2, 1998, : 311 - 315
  • [42] LMI based stability analysis for 2D continuous systems
    Galkowski, K
    ICES 2002: 9TH IEEE INTERNATIONAL CONFERENCE ON ELECTRONICS, CIRCUITS AND SYSTEMS, VOLS I-111, CONFERENCE PROCEEDINGS, 2002, : 923 - 926
  • [43] Absence of Spontaneous Spin Symmetry Breaking in 1D and 2D Quantum Ferromagnetic Systems with Bilinear and Biquadratic Exchange Interactions
    Zivieri, Roberto
    SYMMETRY-BASEL, 2020, 12 (12): : 1 - 16
  • [44] CORRELATIONS IN A 2D ELECTRON GAS
    TOYODA, T
    KOJIMA, DY
    ISIHARA, A
    SURFACE SCIENCE, 1978, 73 (01) : 266 - 268
  • [45] Quantum in-plane magnetoresistance in 2D electron systems
    Meyer, JS
    Fal'ko, VI
    Altshuler, BL
    STRONGLY CORRELATED FERMIONS AND BOSONS IN LOW-DIMENSIONAL DISORDERED SYSTEMS, 2002, 72 : 117 - 164
  • [46] STUDIES OF THE EXTREME QUANTUM LIMIT OF 2D HOLE SYSTEMS
    GALLAGHER, BL
    RODGERS, PJ
    LANGERAK, CJGM
    CRUMP, PA
    HENINI, M
    HILL, G
    WIEGERS, SAJ
    PERENBOOM, JAAJ
    PONOMAREV, Y
    USHER, A
    PHYSICA B, 1995, 211 (1-4): : 417 - 419
  • [47] Quantum Hall effect in AlAs 2D electron systems
    De Poortere, EP
    Tutuc, E
    Shkolnikov, YP
    Vakili, K
    Shayegan, M
    Palm, E
    Murphy, T
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2002, 16 (20-22): : 2917 - 2922
  • [48] Continuous Symmetry Breaking in 1D Long-Range Interacting Quantum Systems
    Maghrebi, Mohammad F.
    Gong, Zhe-Xuan
    Gorshkov, Alexey V.
    PHYSICAL REVIEW LETTERS, 2017, 119 (02)
  • [49] Tradeoffs for Reliable Quantum Information Storage in 2D Systems
    Bravyi, Sergey
    Poulin, David
    Terhal, Barbara
    PHYSICAL REVIEW LETTERS, 2010, 104 (05)
  • [50] Efficient 2D Tensor Network Simulation of Quantum Systems
    Pang, Yuchen
    Hao, Tianyi
    Dugad, Annika
    Zhou, Yiqing
    Solomonik, Edgar
    PROCEEDINGS OF SC20: THE INTERNATIONAL CONFERENCE FOR HIGH PERFORMANCE COMPUTING, NETWORKING, STORAGE AND ANALYSIS (SC20), 2020,
12345