Fully frustrated XY model with next-nearest-neighbor interaction
نویسندگان
چکیده
Giancarlo Franzese, 1,2,3,* Vittorio Cataudella, S. E. Korshunov, and Rosario Fazio Istituto Nazionale per la Fisica della Materia (INFM), Unità di Napoli e Catania, Italy Dipartimento di Scienze Fisiche, Universitá ‘‘Federico II,’’ Mostra d’Oltremare, Padiglione 19, 80125 Napoli, Italy Dipartimento di Fisica ‘‘E. Amaldi,’’ Università Roma Tre, via della Vasca Navale 84, 00146 Roma, Italy L. D. Landau Institute for Theoretical Physics, Kosygina 2, 117940 Moscow, Russia Dipartimento di Metodologie Fisiche e Chimiche (DMCFI), Università di Catania, viale A. Doria 6, 95125 Catania, Italy ~Received 24 July 2000!
منابع مشابه
The fully frustrated XY model with next nearest neighbor interaction
We introduce a fully frustrated XY model with nearest neighbor (nn) and next nearest neighbor (nnn) couplings which can be realized in Josephson junction arrays. We study the phase diagram for 0 ≤ x ≤ 1 (x is the ratio between nnn and nn couplings). When x < 1/ √ 2 an Ising and a BerezinskiiKosterlitz-Thouless transitions are present. Both critical temperatures decrease with increasing x. For x...
متن کاملHigh order perturbation study of the frustrated quantum Ising chain
In this paper, using high order perturbative series expansion method, the critical exponents of the order parameter and susceptibility in transition from ferromagnetic to disordered phases for 1D quantum Ising model in transverse field, with ferromagnetic nearest neighbor and anti-ferromagnetic next to nearest neighbor interactions, are calculated. It is found that for small value of the frustr...
متن کاملEFFECT OF THE NEXT-NEAREST NEIGHBOR INTERACTION ON THE ORDER-DISORDER PHASE TRANSITION
In this work, one and two-dimensional lattices are studied theoretically by a statistical mechanical approach. The nearest and next-nearest neighbor interactions are both taken into account, and the approximate thermodynamic properties of the lattices are calculated. The results of our calculations show that: (1) even though the next-nearest neighbor interaction may have an insignificant ef...
متن کاملPhase diagram of S=1 XXZ chain with next-nearest neighbor interaction
The one dimensional S = 1 XXZ model with the next-nearest-neighbor interaction α and the anisotropy ∆ is studied by the numerical diagonalization. We study the ground state phase diagram of this model by the level spectroscopy method with the twisted boundary method, the phenomenological renormalization group method, the spin wave theory, the nonlinear σ model and the renormalization group. We ...
متن کاملValence Bond Ground States in a Frustrated Two-Dimensional Spin-1/2 Heisenberg Antiferromagnet
We study a class of two-dimensional spin-1/2 Heisenberg antiferromagnets, introduced by Klein [1], in which the nearest-neighbor term is supplemented by next-nearest-neighbor pair and four-body interactions, producing additional frustration. For certain lattices, including e.g. the hexagonal lattice, we prove that any finite subset which admits a dimer covering has a ground state space spanned ...
متن کامل