Papers › Magnetic phase transitions in quantum spin-orbital liquids
Magnetic phase transitions in quantum spin-orbital liquids
Shi Feng, Niravkumar D. Patel, Panjin Kim, Jung Hoon Han, Nandini Trivedi
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We investigate the spin and orbital correlations of a superexchange model with spin S=1 and orbital L=1 relevant for 5d⁴ transition metal Mott insulators, using exact diagonalization and density matrix renormalization group (DMRG). For spin-orbit coupling λ=0, the orbitals are in an entangled state that is decoupled from the spins. We find two phases with increasing λ: (I) the S2 phase with two peaks in the structure factor for λ≤λ_(c1)≈0.34 J where J is the ferromagnetic exchange; and, (II) the S1 phase for λ_(c1)<λ≤λ_(c2)≈1.2 J with emergent antiferromagnetic correlations. Both S1 and S2 phases are shown to exhibit power law correlations, indicative of a gapless spectrum. Upon increasing λ> λ_(c2) leads to a product state of local spin-orbital singlets that exhibit exponential decay of correlations, indicative of a gapped phase. We obtain insights into the phases from the well-known Uimin-Lai-Sutherland (ULS) model in an external field that provides an approximate description of our model within mean field theory.
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