Floating phase in the one-dimensional transverse axial next-nearest-neighbor Ising model
نویسندگان
چکیده
منابع مشابه
Unusual 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 کاملQuantum 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 کاملPhase transitions in the two-dimensional superantiferromagnetic Ising model with next-nearest-neighbor interactions.
We use Monte Carlo and transfer matrix methods in combination with extrapolation schemes to determine the phase diagram of the two-dimensional superantiferromagnetic (SAF) Ising model with next-nearest-neighbor (NNN) interactions in a magnetic field. The interactions between nearest-neighbor (NN) spins are ferromagnetic along x, and antiferromagnetic along Y. We find that for sufficiently low t...
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 کاملDynamics of the transverse Ising model with next-nearest-neighbor interactions.
We study the effects of next-nearest-neighbor (NNN) interactions on the dynamics of the one-dimensional spin-1/2 transverse Ising model in the high-temperature limit. We use exact diagonalization to obtain the time-dependent transverse correlation function and the corresponding spectral density for a tagged spin. Our results for chains of 13 spins with periodic boundary conditions produce resul...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2007
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.75.021105