Grégoire Misguich

SPIN LIQUID IN THE MULTIPLE-SPIN EXCHANGE MODEL ON THE TRIANGULAR LATTICE : 3HE ON GRAPHITE

Using exact diagonalizations, we investigate the

Quantum Dimer Model on the Kagome Lattice: Solvable Dimer-Liquid and Ising Gauge Theory

T\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0

Magnetothermodynamics of the spin- 1 / 2 Kagome antiferromagnet

phase diagram of the multiple-spin exchange (MSE) model on the triangular lattice, we find a transition separating a ferromagnetic phase from a nonmagnetic gapped spin liquid phase. Systems far enough from the ferromagnetic transition have a metamagnetic behavior with magnetization plateaus at

Shannon and entanglement entropies of one- and two-dimensional critical wave functions

m/{m}_{\mathrm{sat}}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0

Interacting classical dimers on the square lattice.

and

Bose-Einstein Condensation of Magnons in TlCuCl3: Phase Diagram and Specific Heat from a Self-consistent Hartree-Fock Calculation with a Realistic Dispersion Relation

1/2

Magnetic-Field Induced Bose–Einstein Condensation of Magnons and Critical Behavior in Interacting Spin Dimer System TlCuCl3

. The MSE has been proposed to describe solid

Classical dimers with aligning interactions on the square lattice

{}^{3}\mathrm{He}

Ising transition driven by frustration in a 2D classical model with continuous symmetry

films adsorbed onto graphite, thus we compute the MSE heat capacity for parameters in the low density range of the 2nd layer and find a double-peak structure.

Soliton binding and low-lying singlets in frustrated odd-legged S = 1 2 spin tubes

We introduce quantum dimer models on lattices made of corner-sharing triangles. These lattices include the kagome lattice and can be defined in arbitrary geometry. They realize fully disordered and gapped dimer-liquid phase with topological degeneracy and deconfined fractional excitations, as well as solid phases. Using geometrical properties of the lattice, several results are obtained exactly, including the full spectrum of a dimer liquid. These models offer a very natural-and maybe the simplest possible-framework to illustrate general concepts such as fractionalization, topological order, and relation to Z2 gauge theories.