Exact Ground States in Spin Systems with Orbital Degeneracy
Kazuhito Itoh
Abstract
We present exact ground states in spin models with orbital generacy in one and higher dimensions. A method to obtain the exact ground states of the models when the Hamiltonians are composed of the products of two commutable operators is proposed. For the case of the spin-1/2 model with two-fold degeneracy some exact ground states are given, such as the Valence-Bond (VB), the magnetically ordered, and the orbitally ordered states under particular parameter regimes. We also find the models with the higher spin and degeneracy which have the new types of VB ground states in the spin and the orbital sectors.
Create a lesson
Related papers
Metallogenic quantum criticality: Fermi surface nucleation at transitions between gapped phases
Zhengyan Darius Shi
Exact Stiffness and Dynamical Responses from Fock-Space Fragmentation
Jonah Herzog-Arbeitman, Eslam Khalaf, Zhaoyu Han
A continuous confinement-deconfinement transition in a triangular quantum magnet
Suguru Hosoi, Sejun Park, Michihiro Hirata et al.
Multi-orbital physics in inverse Lieb lattice altermagnets
Mercè Roig, Jannik Gondolf, Andreas Kreisel et al.
3D- (H-theta-phi) magnetic phase diagram of antiferromagnetic metal GdB6 with electron and lattice instability
A. N. Azarevich, A. V. Bogach, T. F. Garipova et al.
Interlayer-engineering of Charge Order Wave Vector in Kagome Metals
Muntafa M. Mahi, Quazi D. M. Khosru, M. Zahid Hasan et al.