Mean-field theory for Heisenberg zigzag ladder: Ground state energy and spontaneous symmetry breaking

Details Mean-field theory for Heisenberg zigzag ladder: Ground state energy and spontaneous symmetry breaking Mean-field theory for Heisenberg zigzag ladder: Ground state energy and spontaneous symmetry breaking

2006-11-03

arxiv.org/abs/cond-mat/0611082v1

AnnalesHenriPoincare7:1579-1590,2006

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, 6 figures. Contribution to the Annales Henri Poincare volume dedicated to the memory of Daniel Arnaudon

Scientific paper

10.1007/s00023-006-0294-4

The spin-1/2 zig-zag Heisenberg ladder (J_1 - J_2 model) is considered. A new representation for the model is found and a saddle point approximation over the spin-liquid order parameter < \vec \sigma_{n-1}(\vec \sigma_{n}\times \vec \sigma_{n+1}) > is performed. Corresponding effective action is derived and analytically analyzed. We observe the presence of phase transitions at values J_2/J_1=0.231 and J_2/J_1=1/2.

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