Jordan-Wigner approach to dynamic correlations in spin-ladders

Abstract

We present a method for studying the excitations of low-dimensional quantum spin systems based on the Jordan-Wigner transformation. Using an extended RPA-scheme we calculate the correlation function of neighboring spin flips which well approximates the optical conductivity of $\mathrm{S}{\mathrm{r}}_2\mathrm{Cu}{\mathrm{O}}_3$. We extend this approach to the two-leg $S=1/2$--ladder by numbering the spin operators in a meander-like sequence. We obtain good agreement with the optical conductivity of the spin ladder compound (La,Ca)${}_{14}$Cu${}_{24}$O${}_{41}$ for polarization along the rungs. For polarization along the legs higher order correlations are important to explain the weight of high-energy continuum excitations and we estimate the contribution of 4-- and 6--fermion processes.

15 pages, 16 figures

References in corpus (6)

• Observation of two-magnon bound states in the two-leg ladders of (Ca,La)14Cu24O41
• Fractional and Integer Excitations in Quantum Antiferromagnetic Spin 1/2 Ladders
• Cyclic Spin Exchange in Cuprate Spin Ladders
• Raman Response in Antiferromagnetic Two-Leg S=1/2 Heisenberg Ladders
• Jordan-Wigner fermionization for spin-1/2 systems in two dimensions: A brief review
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