We propose a simple mean-field ansatz to study phase transitions from a topological phase to a trivial phase. We probe the efficiency of this approach by considering the string-net model in the presence of a string tension for any anyon theory. Such a perturbation is known to be responsible...
mean‐field scalingEigenvectors of a Hamiltonian solvable by a Bethe ansatz (BA) are employed as a variational trial wavefunction for electrons. Energy expressions are developed showcasing the methods of BA. Numerical results are presented for atomic systems as well as molecular dissociations, which...
The interaction is treated by a mean-field ansatz strictly valid only for d > 4. Phase transitions are characterized by the appearance of infinite lines. The formalism can be applied to thermally equilibrated polymers, defect models of phase transitions, and to the high-temperature expansions of ...
Low-temperature magnetic properties of the γ-phase of -NPNN are analyzed by the mean-field theory based on the Bethe-ansatz solution of the one-dimensional ferromagnetic Heisenberg model. This substance consists of weakly interacting fe... M Takahashi,M Kinoshita,M Ishikawa - 《Journal of the...
Using the leading Fermi liquid form of the two key auxiliary functions introduced in the ECFL theory, we obtain an analytical ansatz, which provides a good quantitative description of the DMFT self-energy down to hole doping level 未~0.2. In particular, the deviation from Fermi liquid behavior...
II. TRANSVERSE GAUSSIAN ANSATZ The Hamiltonian of a gas of N interacting identical Bose atoms confined in the transverse cylindric radial direction with a harmonic potential of frequency ω ⊥ is given by ˆ H = N i=1 − 1 2 ∇ 2 i + 1 2 (x 2 i +y 2 i ) + N i V (...
ansatz. This approximation has been shown to be ac- curate in other transition metal oxide contexts 22,23 .Thus the hopping portion of the Hamiltonian is the sum of three identical tight binding models, one for each orbital. The Hamiltonians take the general form (note that the first sum...
The authors show in a simple way how noninteger exponents can arise in the study of the finite-N corrections to the free energy density of the mean-field solution of the SK model of spin glasses. The well known mean-field solution obtained with the hierarchical ansatz is valid in the therm...
The matrix product method (MPM) has been used in the past to generate variational Ansatze of the ground state (GS) of spin chains and ladders. In this pape... MA Martin-Delgado,G Sierra,S Pleutin,... - 《Physical Review B Condensed Matter》 被引量: 69发表: 2000年 Spectroscopy of ...
The above equation connects the evolution of the magnetic and kinetic energies, and it will be useful in the following. Finally, since we are considering a very large Prandtl number, we neglect the second term in the right-hand side of Eq. (10). In fact, we have|\eta \int \! \mathr...