Spin-Peierls-like phases in magnetoelastic $J_1-J_2$ antiferromagnetic chain at 1/3 magnetization

Details Spin-Peierls-like phases in magnetoelastic $J_1-J_2$ antiferromagnetic chain at 1/3 magnetization Spin-Peierls-like phases in magnetoelastic $J_1-J_2$ antiferromagnetic chain at 1/3 magnetization

2007-08-30

arxiv.org/abs/0708.4162v1

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 5 figures

Scientific paper

10.1103/PhysRevB.76.224404

We investigate elastic deformations of spin $S=1/2$ antiferromagnetic $J_1-J_2$ Heisenberg chains, at $M=1/3$ magnetization, coupled to phonons in the adiabatic approximation. Using a bosonization approach we predict the existence of non-homogeneous trimerized magnetoelastic phases. A rich ground state phase diagram is found, including classical and quantum plateau states for the magnetic sector as well as inequivalent lattice deformations within each magnetic phase. The analytical results are supported by exact diagonalization of small clusters.

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