Quantum Fluctuations in the Axial Next-Nearest-Neighbor Ising Model
نویسندگان
چکیده
منابع مشابه
Quantum fluctuations in the axial next-nearest-neighbor ising model.
We obtain the axial next-nearest-neighbor Ising model from a Heisenberg model with large single-ion anisotropy energy, D, as might be relevant for helical spin systems. We treat quantum fluctuations to lowest order in 1/S at zero temperature within an expansion in J/D, where J is an exchange energy. The transition from the state with periodicity p=4 to the uniform state (p=∞) occurs via a seque...
متن کاملDynamical quantum phase transitions in the axial next-nearest-neighbor Ising chain
J. N. Kriel,1 C. Karrasch,2,3 and S. Kehrein4 1Institute of Theoretical Physics, University of Stellenbosch, Stellenbosch 7600, South Africa 2Department of Physics, University of California, Berkeley, California 95720, USA 3Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA 4Institut für Theoretische Physik, Georg-August-Universität Göttingen, D-...
متن کاملUnusual Yang-Lee edge singularity in the one-dimensional axial-next-to-nearest-neighbor Ising model.
We show here for the one-dimensional spin-1/2 axial-next-to-nearest-neighbor Ising model in an external magnetic field that the linear density of Yang-Lee zeros may diverge with critical exponent σ=-2/3 at the Yang-Lee edge singularity. The necessary condition for this unusual behavior is the triple degeneracy of the transfer-matrix eigenvalues. If this condition is absent we have the usual val...
متن کاملMonte carlo study of the axial next-nearest-neighbor Ising model.
The equilibrium phase behavior of microphase-forming systems is notoriously difficult to obtain because of the extended metastability of the modulated phases. We develop a simulation method based on free-energy integration that surmounts this problem and with which we describe the modulated regime of the canonical three-dimensional axial next-nearest-neighbor Ising model. Equilibrium order para...
متن کاملEquilibrium and dynamical properties of the axial next-nearest-neighbor ising chain at the multiphase point
We study the equilibrium and dynamical properties of the axial next-nearest-neighbor Ising chain at the multiphase point. An interesting property of the system is the macroscopic degeneracy of the ground state leading to finite zero-temperature entropy. In our equilibrium study we consider the effect of softening the spins. We show that the degeneracy of the ground state is lifted and there is ...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1995
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.74.3045