Anisotropic frustrated Heisenberg model on the honeycomb lattice

被引：10
作者：
Kalz, Ansgar [1 ]
Arlego, Marcelo [2 ,3 ]
Cabra, Daniel [2 ,3 ]
Honecker, Andreas [1 ,4 ]
Rossini, Gerardo [2 ,3 ]
机构：
[1] Univ Gottingen, Inst Theoret Phys, D-37077 Gottingen, Germany
[2] Univ Nacl La Plata, Inst Fis La Plata, RA-1900 La Plata, Buenos Aires, Argentina
[3] Univ Nacl La Plata, Dept Fis, RA-1900 La Plata, Buenos Aires, Argentina
[4] Univ Gottingen, Fak Math & Informat, D-37073 Gottingen, Germany
来源：
PHYSICAL REVIEW B | 2012年 / 85卷 / 10期
关键词：
OPEN-SOURCE SOFTWARE; QUANTUM; SIMULATION; MAGNETISM;
D O I：
10.1103/PhysRevB.85.104505
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We investigate the ground-state phase diagram of an anisotropic Heisenberg model on the honeycomb lattice with competing interactions. We use quantum Monte Carlo simulations, as well as linear spin-wave and Ising series expansions, to determine the phase boundaries of the ordered magnetic phases. We find a region without any classical order in the vicinity of a highly frustrated point. Higher-order correlation functions in this region give no signal for long-range valence-bond order. The low-energy spectrum is derived via exact diagonalization to check for topological order on small-size periodic lattices.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] Spiral order by disorder and lattice nematic order in a frustrated Heisenberg antiferromagnet on the honeycomb lattice
    Mulder, A.
    Ganesh, R.
    Capriotti, L.
    Paramekanti, A.
    PHYSICAL REVIEW B, 2010, 81 (21)
  • [2] Phase diagram of a frustrated Heisenberg antiferromagnet on the honeycomb lattice: The J1-J2-J3 model
    Li, P. H. Y.
    Bishop, R. F.
    Farnell, D. J. J.
    Campbell, C. E.
    PHYSICAL REVIEW B, 2012, 86 (14):
  • [3] Exotic topological point and line nodes in the plaquette excitations of a frustrated Heisenberg antiferromagnet on the honeycomb lattice
    Deb, Moumita
    Ghosh, Asim Kumar
    JOURNAL OF PHYSICS-CONDENSED MATTER, 2020, 32 (36)
  • [4] Plaquette order in the SU(6) Heisenberg model on the honeycomb lattice
    Nataf, Pierre
    Lajko, Miklos
    Corboz, Philippe
    Laeuchli, Andreas M.
    Penc, Karlo
    Mila, Frederic
    PHYSICAL REVIEW B, 2016, 93 (20)
  • [5] Residual entropy, bicriticality, and tricriticality in the frustrated Ising model on the honeycomb lattice
    Dias, P. F.
    Krindges, A.
    Morais, C. V.
    Zimmer, F. M.
    Mohylna, M.
    Zukovic, M.
    Schmidt, M.
    JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2024, 604
  • [6] Competition between spin liquids and valence-bond order in the frustrated spin-1/2 Heisenberg model on the honeycomb lattice
    Ferrari, Francesco
    Bieri, Samuel
    Becca, Federico
    PHYSICAL REVIEW B, 2017, 96 (10)
  • [7] Mott insulators in a fully frustrated Bose-Hubbard model on the honeycomb lattice
    Inglis, Stephen
    Melko, Roger G.
    NEW JOURNAL OF PHYSICS, 2011, 13
  • [8] Magnon damping in the zigzag phase of the Kitaev-Heisenberg-Γ model on a honeycomb lattice
    Smit, R. L.
    Keupert, S.
    Tsyplyatyev, O.
    Maksimov, P. A.
    Chernyshev, A. L.
    Kopietz, P.
    PHYSICAL REVIEW B, 2020, 101 (05)
  • [9] Phase diagram of the Kondo-Heisenberg model on honeycomb lattice with geometrical frustration
    Li, Huan
    Song, Hai-Feng
    Liu, Yu
    EPL, 2016, 116 (03)
  • [10] EVIDENCE OF A SPIN-LIQUID PHASE IN THE FRUSTRATED HONEYCOMB LATTICE
    Cabra, D. C.
    Lamas, C. A.
    Rosales, H. D.
    MODERN PHYSICS LETTERS B, 2011, 25 (12-13): : 891 - 900
12345