Renyi Entropy and Parity Oscillations of the Anisotropic Spin-s Heisenberg Chains in a Magnetic Field

Abstract

Using the density matrix renormalization group, we investigate the Renyi entropy of the anisotropic spin-s Heisenberg chains in a z-magnetic field. We considered the half-odd integer spin-s chains, with s=1/2,3/2 and 5/2, and periodic and open boundary conditions. In the case of the spin-1/2 chain we were able to obtain accurate estimates of the new parity exponents $p_{\alpha }^{(p)}$ and $p_{\alpha }^{(o)}$ that gives the power-law decay of the oscillations of the $\alpha -$Renyi entropy for periodic and open boundary conditions, respectively. We confirm the relations of these exponents with the Luttinger parameter $K$, as proposed by Calabrese et al. [Phys. Rev. Lett. 104, 095701 (2010)]. Moreover, the predicted periodicity of the oscillating term was also observed for some non-zero values of the magnetization $m$. We show that for $s>1/2$ the amplitudes of the oscillations are quite small, and get accurate estimates of $p_{\alpha }^{(p)}$ and $p_{\alpha }^{(o)}$ become a challenge. Although our estimates of the new universal exponents $p_{\alpha }^{(p)}$ and $p_{\alpha }^{(o)}$ for the spin-3/2 chain are not so accurate, they are consistent with the theoretical predictions.

revised version, accepted to PRB. 9 pages, 3 Figures, 4 Tables

References in corpus (13)

• Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
• Entanglement of low-energy excitations in Conformal Field Theory
• Unusual Corrections to Scaling in Entanglement Entropy
• Universal parity effects in the entanglement entropy of XX chains with open boundary conditions
• Universal corrections to scaling for block entanglement in spin-1/2 XX chains
• Entanglement spectrum of random-singlet quantum critical points
• Exact relationship between the entanglement entropies of XY and quantum Ising chains
• Entanglement, combinatorics and finite-size effects in spin-chains
• Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap
• Valence Bond and von Neumann Entanglement Entropy in Heisenberg Ladders
• DMRG studies of critical SU(N) spin chains
• Density matrix elements and entanglement entropy for the spin-1/2 XXZ chain at $\Delta$=1/2
• Finite Size Corrections to Entanglement in Quantum Critical Systems

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