Exact spin-orbital separation in a solvable model in one dimension

Abstract

A one-dimensional model of coupled spin-1/2 spins and pseudospin-1/2 orbitals with nearest-neighbor interaction is rigorously shown to exhibit spin-orbital separation by means of a non-local unitary transformation. On an open chain, this transformation completely decouples the spins from the orbitals in such a way that the spins become paramagnetic while the orbitals form the soluble XXZ Heisenberg model. The nature of various correlations is discussed. The more general cases, which allow spin-orbital separation by the same method, are pointed out. A generalization for the orbital pseudospin greater than 1/2 is also discussed. Some qualitative connections are drawn with the recently observed spin-orbital separation in Sr2CuO3.

5 pages

References in corpus (6)

• Spin-Orbital Separation in the quasi 1D Mott-insulator Sr2CuO3
• Fingerprints of spin-orbital entanglement in transition metal oxides
• Intrinsic coupling of orbital excitations to spin fluctuations in Mott insulators
• Canonical representation for electrons and its application to the Hubbard model
• Exact solution of the infinite-U Hubbard problem and other models in one dimension
• Exact ground states with deconfined gapless excitations for the 3 leg spin-1/2 tube

Cited by in corpus (13)

• Microscopic origin of spin-orbital separation in Sr2CuO3
• Theory of Quantum Oscillations of Magnetization in Kondo Insulators
• Topological Order in an Entangled SU(2)$\otimes$XY Spin-Orbital Ring
• Fractionalization, entanglement, and separation: understanding the collective excitations in a spin-orbital chain
• Frustration and Entanglement in Compass and Spin-Orbital Models
• Spin, orbital and topological order in models of strongly correlated electrons
• Entanglement Driven Phase Transitions in Spin-Orbital Models
• Excitonic wave-packet evolution in a two-orbital Hubbard model chain: A real-time real-space study
• Spinon-orbiton repulsion and attraction mediated by Hund's rule
• Exotic Spin Order due to Orbital Fluctuations
• One-dimensional frustrated plaquette compass model: Nematic phase and spontaneous multimerization
• Disordered impenetrable two-component fermions in one dimension
• Unfolding the Toric Code Model with Emergent Qubits