A finite-range scaling method to analyze systems with infinite-range interactions

被引:3
|
作者
Aoki, Ken-Ichi [1 ]
Kobayashi, Tamao [1 ]
Tomita, Hiroshi [1 ]
机构
[1] Kanazawa Univ, Inst Theoret Phys, Kanazawa, Ishikawa 9201192, Japan
来源
PROGRESS OF THEORETICAL PHYSICS | 2008年 / 119卷 / 03期
关键词
D O I
10.1143/PTP.119.509
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We propose a new, practical method for evaluating the critical coupling constant in one-dimensional long-range interacting systems. We assume a finite-range scaling and define its exponent for the logarithm of the susceptibility. We find criticality through the zeta function singularity. As an example, we present results for a long-range Ising model.
引用
收藏
页码:509 / 514
页数:6
相关论文
共 50 条
  • [31] Continuum Random Phase Approximation with finite-range interactions
    Giampaolo Co’
    Viviana De Donno
    Marta Anguiano
    Antonio M. Lallena
    The European Physical Journal A, 2016, 52
  • [32] Validity of the no-pumping theorem in systems with finite-range interactions between particles
    Rahav, Saar
    PHYSICAL REVIEW E, 2017, 95 (01)
  • [33] EFFECT OF A FINITE-RANGE FORCE ON LOCALIZATION OF DIRECT INTERACTIONS
    AMOS, KA
    MCCARTHY, IE
    NUCLEAR PHYSICS, 1965, 65 (01): : 81 - &
  • [34] Nuclear equation of state with finite-range effective interactions
    Routray, TR
    Sahoo, B
    Satpathy, RK
    Behera, B
    JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 2000, 26 (06) : 887 - 905
  • [35] SUPERCONDUCTOR MOTT-INSULATOR TRANSITION IN BOSE SYSTEMS WITH FINITE-RANGE INTERACTIONS
    BRUDER, C
    FAZIO, R
    SCHON, G
    PHYSICAL REVIEW B, 1993, 47 (01) : 342 - 347
  • [36] Window for Efimov physics for few-body systems with finite-range interactions
    Rasmussen, S. E.
    Jensen, A. S.
    Fedorov, D. V.
    JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2018, 51 (02)
  • [37] Mimicking quantum correlation of a long-range Hamiltonian by finite-range interactions
    Lakkaraju, Leela Ganesh Chandra
    Ghosh, Srijon
    Sadhukhan, Debasis
    Sen, Aditi
    PHYSICAL REVIEW A, 2022, 106 (05)
  • [38] Entanglement and criticality in translationally invariant harmonic lattice systems with finite-range interactions
    Unanyan, RG
    Fleischhauer, M
    PHYSICAL REVIEW LETTERS, 2005, 95 (26)
  • [39] Fermions with long and finite-range interactions on a quantum ring
    Bray, Alexander W.
    Simenel, Cedric
    PHYSICAL REVIEW C, 2021, 103 (01)
  • [40] Collective excitations in superfluid nuclei with finite-range interactions
    Giambrone, G
    Scheit, S
    Bortignon, PF
    Barranco, F
    Colò, G
    Sarchi, D
    Vigezzi, E
    NUCLEAR PHYSICS A, 2003, 726 (1-2) : 3 - 36