Nematic order in a degenerate Hubbard model with spin–orbit coupling

Guarnaccia, Giuseppe; Noce, Canio

doi:10.1088/0953-8984/25/34/345602

Cited by 1 publication

(1 citation statement)

References 42 publications

(46 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This order may exist also in the ground state, in both two and three dimensional lattices, if the hopping amplitude is small enough (see equations ( 21)-( 22) and equations ( 24)-( 25)). We would like to notice that when the existence of the nematic order is investigated within the Mermin and Wagner theorem, it has been proved that rotationally symmetric models cannot sustain the nematic order [40]. However, we point out that this result cannot be applied to the case addressed in the present paper, since the intra-orbital off-site repulsion breaks the rotational symmetry of the model Hamiltonian so that the existence of the nematic order at finite temperatures cannot be excluded.…”

Section: Remarks and Conclusionmentioning

confidence: 71%

Nematic phase transition in a multi-orbital Hubbard model

Guarnaccia¹,

Noce²

2014

J. Phys. A: Math. Theor.

Self Cite

View full text Add to dashboard Cite

By using the reflection positivity method, we rigorously establish some exact properties of a multi-orbital Hubbard model, here adopted to describe a nematic orbital phase transition. We show that, when the on-site intra-orbital Coulomb interaction is equal to the on-site inter-orbital Coulomb interaction, this model supports a staggered nematic orbital order if repulsive or attractive on-site inter-orbital and intra-orbital interactions and off-site repulsive inter-orbital interaction are considered. Depending on the dimensions of the bipartite lattice where the model is defined, we find that, at half-filling, the order may or may not exist. In particular, we prove that the order may exist, in two and three dimensions, at sufficiently low temperatures if the hopping amplitude is small enough.

show abstract

Section: Remarks and Conclusionmentioning

confidence: 71%