Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-12-24
Phys. Rev. B 85, 064420 (2012)
Physics
Condensed Matter
Strongly Correlated Electrons
the final published version
Scientific paper
10.1103/PhysRevB.85.064420
We study the ground state of frustrated spin-S chains in a strong magnetic field in the immediate vicinity of saturation. In strongly frustrated chains, the magnon dispersion has two degenerate minima at inequivalent momenta $\pm Q$, and just below the saturation field the system can be effectively represented as a dilute one-dimensional lattice gas of two species of bosons that correspond to magnons with momenta around $\pm Q$. We present a theory of effective interactions in such a dilute magnon gas that allows us to make quantitative predictions for arbitrary values of the spin. With the help of this method, we are able to establish the magnetic phase diagram of frustrated chains close to saturation and study phase transitions between several nontrivial states, including a two-component Luttinger liquid, a vector chiral phase, and phases with bound magnons. We study those phase transitions numerically and find a good agreement with our analytical predictions.
Greschner S.
Heidrich-Meisner Fabian
Kolezhuk Alexei K.
Vekua Temo
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