Abstract:
The columnar-dimer Heisenberg spin ladder model is investigated to calculate the spin-wave velocity
vs under different interchain interaction
Jv conditions. The elastic lattice with the elastic force K is introduced into the system which induces spin chains unstable towards the spontaneous dimerization. We obtain the thermodynamic limitations of the singlet-triplet energy gap G and the soliton width
Ws when the ladder model is in the Columnar Dimer state by Density-matrix Renormalization-group(DMRG) method and self-consistent method. v s is obtained by measuring the slope of
Ws-1/G. The numerical results show that, as
Jv increases, G decreases linearly while
Ws increases dramatically. According to this,
vs decreases at first and then increases to the infinite and this change becomes sharp when K is bigger. It is noticed that the interchain interaction
Jv effects the magnon dispersion.