Ground-state phase diagram of the dimerized spin-1/2 two-leg ladder

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Dimerized spin-1/2 ladders exhibit a variety of phase structures,which depend on the intra-chain and inter-chain spin exchange energies as well as on the dimerization pattern of the ladder.Using the density matrix renormalization group(DMRG) algorithm,we study critical properties of the bond-alternating two-leg Heisenberg spin ladder with diagonal interaction J×.Two types of spin systems,staggered dimerized antiferromagnetic ladder and columnar dimerized ferro-antiferromagnetic couplings ladder,are investigated.To clarify the phase transition behaviors,we simultaneously analyze the string order parameter (SOP),the twisted order parameter (TOP),as well as a measurement of the quantum information analysis.Based on measuring this different observables,we establish the phase diagram accurately and give the fitting functions of the phase boundaries.In addition,the phase transition of cross-coupled spin ladder (in the absence of intrinsic dimerization) is also discussed.
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