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arXiv · 1709.05816

Magnetic phase diagram and quantum phase transitions in a two-species boson model

A. M. Belemuk·N. M. Chtchelkatchev·A. V. Mikheyenkov·K. I. Kugel
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Abstract

We analyze the possible types of ordering in a boson--fermion model. The Hamiltonian is inherently related to the Bose--Hubbard model for vector two-species bosons in optical lattices. We show that such model can be reduced to the Kugel--Khomskii type spin--pseudospin model, but in contrast to the usual version of the latter model, we are dealing here with the case of spin $S=1$ and pseudospin $1/2$. We show that the interplay of spin and pseudospin degrees of freedom leads to a rather nontrivial magnetic phase diagram including the spin-nematic configurations. Tuning the spin-channel interaction parameter $U_s$ gives rise to quantum phase transitions. We find that the ground state of the system always has the pseudospin domain structure. On the other hand, the sign change of $U_s$ switches the spin arrangement of the ground state within domains from ferro- to aniferromagnetic one. Finally, we revisit the spin (pseudospin)-1/2 Kugel--Khomskii model and see the inverse picture of phase transitions.

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A. M. Belemuk, N. M. Chtchelkatchev, A. V. Mikheyenkov, K. I. Kugel. 2017-09-18. Magnetic phase diagram and quantum phase transitions in a two-species boson model. https://doi.org/10.1103/physrevb.96.094435

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