# Orbital magnetic field effects in Mott insulators with strong spin-orbit coupling

@article{Natori2019OrbitalMF, title={Orbital magnetic field effects in Mott insulators with strong spin-orbit coupling}, author={Willian M. H. Natori and Roderich Moessner and Johannes Knolle}, journal={Physical Review B}, year={2019} }

We study the effect of a magnetic field on the low energy description of Mott insulators with strong spin-orbit (SO) coupling. In contrast to the standard case of the Hubbard model without SO coupling, we show that Peierls phases can modulate the magnetic exchange at leading order in the interaction. Our mechanism crucially depends on the existence of distinct exchange paths between neighboring magnetic ions enclosing a well-defined area. Thus it will generically be present in any solid state…

## 3 Citations

### Magnetic field induced spin liquids in S=1 Kitaev honeycomb model

- PhysicsPhysical Review Research
- 2020

We investigate the ground state properties of the spin S=1 Kitaev honeycomb model under a magnetic field based on the density matrix renormalization group calculation. With the time reversal symmetry…

### Low-Field Magnetic Anisotropy of Sr2IrO4

- Physics
- 2021

Magnetic anisotropy in strontium iridate (Sr2IrO4) is essential because of its strong spin-orbit coupling and crystal field effect. In this study, we investigated the detailed mapping of the…

## References

SHOWING 1-10 OF 81 REFERENCES

### Mott insulators in the strong spin-orbit coupling limit: from Heisenberg to a quantum compass and Kitaev models.

- PhysicsPhysical review letters
- 2009

The magnetic interactions in Mott-Hubbard systems with partially filled t_{2g} levels and with strong spin-orbit coupling are studied to explain "weak" ferromagnetism, with an anomalously large ferromagnetic moment, in Sr2IrO4.

### Exotic quantum spin models in spin-orbit-coupled Mott insulators.

- PhysicsPhysical review letters
- 2012

The state of the art of experiments to realize and detect magnetic orderings in strongly correlated optical lattices and the low-energy spin Hamiltonian for bosons and fermions is discussed.

### Classical Spin Liquid Instability Driven By Off-Diagonal Exchange in Strong Spin-Orbit Magnets.

- PhysicsPhysical review letters
- 2017

We show that the off-diagonal exchange anisotropy drives Mott insulators with strong spin-orbit coupling to a classical spin liquid regime, characterized by an infinite number of ground states and…

### Field induced quantum spin liquid with spinon Fermi surfaces in the Kitaev model

- Physics
- 2018

Recent experimental evidence for a field-induced quantum spin liquid (QSL) in $\alpha$-RuCl$_3$ calls for an understanding for the ground state of honeycomb Kitaev model under a magnetic field. In…

### Dynamical and topological properties of the Kitaev model in a [111] magnetic field

- Physics, Materials SciencePhysical Review B
- 2018

The Kitaev model exhibits a quantum spin liquid hosting emergent fractionalized excitations. We study the Kitaev model on the honeycomb lattice coupled to a magnetic field along the [111] axis.…

### Large-U limit of a Hubbard model in a magnetic field: Chiral spin interactions and paramagnetism.

- PhysicsPhysical review. B, Condensed matter
- 1995

The large-U limit of the one-band Hubbard model at half-filling on a nonbipartite two-dimensional lattice is considered and a model that explicitly demonstrates the three-spin chiral interaction is presented.

### Excitations in the field-induced quantum spin liquid state of α-RuCl3

- Physics
- 2017

The celebrated Kitaev quantum spin liquid (QSL) is the paradigmatic example of a topological magnet with emergent excitations in the form of Majorana Fermions and gauge fluxes. Upon breaking of…

### Emergence of a field-driven U(1) spin liquid in the Kitaev honeycomb model

- PhysicsNature Communications
- 2019

Hickey and Trebst show that magnetic fields can destabilize the well-known gapped Kitaev spin liquid and induce a new gapless spin liquid, with a distinct gauge structure and neutral Fermi surface, at intermediate field strengths.

### Orbital order and fluctuations in Mott insulators

- Physics, Chemistry
- 2005

Basic mechanisms controlling orbital order and orbital fluctuations in transition metal oxides are discussed. The lattice driven classical orbital picture, e.g. like in manganites LaMnO$_3$, is…

### Realization of a three-dimensional spin-anisotropic harmonic honeycomb iridate.

- PhysicsNature communications
- 2014

A new iridate structure that has the same local connectivity as the layered honeycomb and exhibits striking evidence for highly spin-anisotropic exchange is reported, suggesting a new family of three-dimensional structures could exist, the 'harmonic honeycomb' iridates.