Investigations on thermodynamic properties of the three sub-lattice spin frustrated chain

The spin frustration related to the high-[Formula: see text] superconductivity has received much attention. In this paper, based on the Jordan–Wigner transformation and Green’s function method, we study the magnetic and thermodynamic properties of the three sub-lattice spin frustrated chains. It is found that there are three branches for the spin–wave excitation spectra at zero temperature. Among them, two belong to nature excitation patterns with antiferromagnetic interaction and the third one is band gap excitation spectrum with ferromagnetic nature. The specific heat capacity of sub-lattice spin system presents complex characteristics with the change of temperature due to the intense competition between the ferromagnetic and antiferromagnetic interactions. It is also shown that the increase of the ferromagnetic action is helpful to the value of net spin.

SCALING LIMIT FOR A GENERAL CLASS OF QUANTUM FIELD MODELS AND ITS APPLICATIONS TO NUCLEAR PHYSICS AND CONDENSED MATTER PHYSICS

We consider a scaling limit of the Hamiltonian of the generalized spin-boson (GSB) model which is an abstract quantum field theoretical model of particles interacting with a Bose field. Applying it to a Hamiltonian of the field of the nuclear force with isospin, we obtain an effective potential of the interaction between nucleons. Also, we discuss an application to a Hamiltonian of a lattice spin system interacting with a Bose field and obtain a spin–spin interaction in the vacuum of the Bose field. An interaction model between a Fermi field and a Bose field yields an interaction in the vacuum of the Bose field.