“…Spin-orbital-like entanglement is also applicable to nuclear systems, where nucleons possess as well two degrees of freedom -spin and isospin. It has been established that the entanglement length of the nucleons is significantly larger than that one expects [78]. Entanglement may also play an important role in quantum computations if the spin state used for information storage would be measured by investigating orbital qubits in entangled states [127].…”
Section: Discussion and Summarymentioning
confidence: 99%
“…It is of importance that spin-orbital entanglement is related to local properties of spins and orbitals on a bond. Therefore the entanglement phase diagram of a finite system is in agrement with the magnetic and orbital phase diagram of the infinite SU(2)⊗SU(2) model [78].…”
Section: Entanglement In the Su(2)⊗su(2) Spin-orbital Modelmentioning
confidence: 99%
“…The second term H J is the spin-orbital superexchange model for the RVO 3 perovskites (13) introduced above in section 4.1. The first term in (78) describes the hopping of {a, b} electrons in the constrained Hilbert space, i.e., in the space with singly occupied (at the hole position) or doubly occupied sites. This means that the electrons in the ab plane, which is under consideration here, can hop only along the b (a) direction when they carry a (b) orbital flavour.…”
Section: Hole Propagation In a Mott Insulator With Coupled Spin-orbit...mentioning
The concept of spin-orbital entanglement on superexchange bonds in transition metal oxides is introduced and explained on several examples. It is shown that spin-orbital entanglement in superexchange models destabilizes the long-range (spin and orbital) order and may lead either to a disordered spin-liquid state or to novel phases at low temperature which arise from strongly frustrated interactions. Such novel ground states cannot be described within the conventionally used mean field theory which separates spin and orbital degrees of freedom. Even in cases where the ground states are disentangled, spin-orbital entanglement occurs in excited states and may become crucial for a correct description of physical properties at finite temperature. As an important example of this behaviour we present spin-orbital entanglement in the RV O(3) perovskites, with R = La,Pr,…,Y b,Lu, where the finite temperature properties of these compounds can be understood only using entangled states: (i) the thermal evolution of the optical spectral weights, (ii) the dependence of the transition temperatures for the onset of orbital and magnetic order on the ionic radius in the phase diagram of the RV O(3) perovskites, and (iii) the dimerization observed in the magnon spectra for the C-type antiferromagnetic phase of Y V O(3). Finally, it is shown that joint spin-orbital excitations in an ordered phase with coexisting antiferromagnetic and alternating orbital order introduce topological constraints for the hole propagation and will thus radically modify the transport properties in doped Mott insulators where hole motion implies simultaneous spin and orbital excitations.
“…Spin-orbital-like entanglement is also applicable to nuclear systems, where nucleons possess as well two degrees of freedom -spin and isospin. It has been established that the entanglement length of the nucleons is significantly larger than that one expects [78]. Entanglement may also play an important role in quantum computations if the spin state used for information storage would be measured by investigating orbital qubits in entangled states [127].…”
Section: Discussion and Summarymentioning
confidence: 99%
“…It is of importance that spin-orbital entanglement is related to local properties of spins and orbitals on a bond. Therefore the entanglement phase diagram of a finite system is in agrement with the magnetic and orbital phase diagram of the infinite SU(2)⊗SU(2) model [78].…”
Section: Entanglement In the Su(2)⊗su(2) Spin-orbital Modelmentioning
confidence: 99%
“…The second term H J is the spin-orbital superexchange model for the RVO 3 perovskites (13) introduced above in section 4.1. The first term in (78) describes the hopping of {a, b} electrons in the constrained Hilbert space, i.e., in the space with singly occupied (at the hole position) or doubly occupied sites. This means that the electrons in the ab plane, which is under consideration here, can hop only along the b (a) direction when they carry a (b) orbital flavour.…”
Section: Hole Propagation In a Mott Insulator With Coupled Spin-orbit...mentioning
The concept of spin-orbital entanglement on superexchange bonds in transition metal oxides is introduced and explained on several examples. It is shown that spin-orbital entanglement in superexchange models destabilizes the long-range (spin and orbital) order and may lead either to a disordered spin-liquid state or to novel phases at low temperature which arise from strongly frustrated interactions. Such novel ground states cannot be described within the conventionally used mean field theory which separates spin and orbital degrees of freedom. Even in cases where the ground states are disentangled, spin-orbital entanglement occurs in excited states and may become crucial for a correct description of physical properties at finite temperature. As an important example of this behaviour we present spin-orbital entanglement in the RV O(3) perovskites, with R = La,Pr,…,Y b,Lu, where the finite temperature properties of these compounds can be understood only using entangled states: (i) the thermal evolution of the optical spectral weights, (ii) the dependence of the transition temperatures for the onset of orbital and magnetic order on the ionic radius in the phase diagram of the RV O(3) perovskites, and (iii) the dimerization observed in the magnon spectra for the C-type antiferromagnetic phase of Y V O(3). Finally, it is shown that joint spin-orbital excitations in an ordered phase with coexisting antiferromagnetic and alternating orbital order introduce topological constraints for the hole propagation and will thus radically modify the transport properties in doped Mott insulators where hole motion implies simultaneous spin and orbital excitations.
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