Itinerant Electron-Driven Chiral Magnetic Ordering and Spontaneous Quantum Hall Effect<? format?> in Triangular Lattice Models

I Martin, CD Batista - Physical review letters, 2008 - APS
We study the Kondo Lattice and the Hubbard models on a triangular lattice. We find that at
the mean-field level, these rotationally invariant models naturally support a noncoplanar …

Kapellasite: A kagome quantum spin liquid with competing interactions

B Fåk, E Kermarrec, L Messio, B Bernu, C Lhuillier… - Physical review …, 2012 - APS
Magnetic susceptibility, NMR, muon spin relaxation, and inelastic neutron scattering
measurements show that kapellasite, Cu 3 Zn (OH) 6 Cl 2, a geometrically frustrated spin …

Kagome antiferromagnet: A chiral topological spin liquid?

L Messio, B Bernu, C Lhuillier - Physical review letters, 2012 - APS
Inspired by the recent discovery of a new instability towards a chiral phase of the classical
Heisenberg model on the kagome lattice, we propose a specific chiral spin liquid that …

Lattice symmetries and regular magnetic orders in classical frustrated antiferromagnets

L Messio, C Lhuillier, G Misguich - Physical Review B—Condensed Matter and …, 2011 - APS
We consider some classical and frustrated lattice spin models with global O (3) spin
symmetry. No general analytical method to find a ground state exists when the spin …

Complex magnetic and spatial symmetry breaking from correlations in kagome flat bands

YP Lin, C Liu, JE Moore - Physical Review B, 2024 - APS
We present the mean-field phase diagram of electrons in a kagome flat band with repulsive
interactions. In addition to flat-band ferromagnetism, the Hartree-Fock analysis yields …

Octupolar ordering of classical kagome antiferromagnets in two and three dimensions

ME Zhitomirsky - Physical Review B—Condensed Matter and Materials …, 2008 - APS
Classical Heisenberg antiferromagnets on two-dimensional kagome and three-dimensional
hyperkagome lattices are investigated by Monte Carlo simulations. For both models the …

Noncoplanar orders and quantum disordered states in maple-leaf antiferromagnets

M Gembé, L Gresista, HJ Schmidt, C Hickey, Y Iqbal… - Physical Review B, 2024 - APS
A promising route towards the realization of chiral spin liquids is the quantum melting of
classically noncoplanar spin states via quantum fluctuations. In the classical realm, such …

Kitaev anisotropy induces mesoscopic vortex crystals in frustrated hexagonal antiferromagnets

I Rousochatzakis, UK Rössler, J Van Den Brink… - Physical Review B, 2016 - APS
The triangular-lattice Heisenberg antiferromagnet (HAF) is known to carry topological Z 2
vortex excitations which form a gas at finite temperatures. Here we show that the spin-orbit …

Gapless chiral spin liquid in a kagome Heisenberg model

S Bieri, L Messio, B Bernu, C Lhuillier - Physical Review B, 2015 - APS
Motivated by recent experiments on the Heisenberg S= 1/2 quantum spin liquid candidate
material kapellasite, we classify all possible chiral (time-reversal symmetry breaking) spin …

Stability of the spontaneous quantum Hall state in the triangular Kondo-lattice model

Y Kato, I Martin, CD Batista - Physical review letters, 2010 - APS
We study the behavior of the quarter-filled Kondo-lattice model on a triangular lattice by
combining a zero-temperature variational approach and finite-temperature Monte Carlo …