Exact Results for the Thermal and Magnetic Properties of Strong Coupling Ladder Compounds

Abstract

We investigate the thermal and magnetic properties of the integrable su(4) ladder model by means of the quantum transfer matrix method. The magnetic susceptibility, specific heat, magnetic entropy and high field magnetization are evaluated from the free energy derived via the recently proposed method of high temperature expansion for exactly solved models. We show that the integrable model can be used to describe the physics of the strong coupling ladder compounds.Excellent agreement is seen between the theoretical results and the experimental data for the known ladder compounds (5IAP) 2 CuBr 4 ·2H 2 O, Cu 2 (C 5 H 12 N 2 ) 2 Cl 4 etc.

Antiferromagnetic model and magnetization plateaus on the zigzag ladder with two- and three-site exchanges

“…Using the integrable SU(4) method the physical properties of the strong coupling ladder compounds can be described. Especially excellent agreement is seen between the well known ladder compounds (5IAP) 2 CuBr 4 ·2H 2 O, Cu 2 (C 5 H 12 N 2 ) 2 Cl 4 [16]. There are several types of ladders: simple (plaquette), zigzag, kagomé, generalized, N -leg and electronic.…”

The scattering matrix for a generalgl(2) spin chain

“…The relevance of such general integrable spin chains in condensed matter physics have been pointed out in e.g. [48]. However, the calculation of the scattering matrix has been done only for homogeneous spin chain with particular representations [49,50].…”

Defining relations on the Hamiltonians of XXX and XXZ R-matrices and new integrable spin-orbital chains

“…Let us notice that the dual model obtained by the transformation (22) is also integrable with the R-matrix related to the same formula. A modern discussion of the SU(4)-symmetric model is given in [16], [17]. The SU(2) × SU(2)-and SU(2) × U(1)-symmetric models were also discussed in [18], [19].…”

“…In the case S 6 the Hamiltonian density satisfies (12)- (15), (17) and the related R-matrix also has the form (11).…”