On the Incommensurate Phase in Modulated Heisenberg Chains

Details On the Incommensurate Phase in Modulated Heisenberg Chains On the Incommensurate Phase in Modulated Heisenberg Chains

1998-03-08

arxiv.org/abs/cond-mat/9803084v1

Eur. Phys. J. B. 5, 521 (1998)

Physics

Condensed Matter

8 pages, 9 figures

Scientific paper

10.1007/s100510050473

Using the density matrix renormalization group method (DMRG) we calculate the magnetization of frustrated S=1/2 Heisenberg chains for various modulation patterns of the nearest neighbour coupling: commensurate, incommensurate with sinusoidal modulation and incommensurate with solitonic modulation. We focus on the order of the phase transition from the commensurate dimerized phase (D) to the incommensurate phase (I). It is shown that the order of the phase transition depends sensitively on the model. For the solitonic model in particular, a $k$-dependent elastic energy modifies the order of the transition. Furthermore, we calculate gaps in the incommensurate phase in adiabatic approximation.

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