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We numerically study the spin-1/2 antiferromagnetic Heisenberg model on the kagom{e} lattice using the density-matrix renormalization group (DMRG) method. We find that the ground state is a magnetically disordered spin liquid, characterized by an exponential decay of spin-spin correlation function in real space and a magnetic structure factor showing system-size independent peaks at commersurate antiferromangetic wavevectors. We obtain a spin triplet excitation gap $Delta E(S=1)=0.055pm 0.005$ by extrapolation based on the large size results, and confirm the presence of gapless singlet excitations. The physical nature of such an exotic spin liquid is also discussed.
The Nd-langasite compound contains planes of magnetic Nd3+ ions on a lattice topologically equivalent to a kagom{e} net. The magnetic susceptibility does not reveal any signature of long-range ordering down to 2 K but rather a correlated paramagnetis
Nearest-neighbor interacting S = 1/2 spins on the ideal Kagom{e} lattice are predicted to form a variety of novel quantum entangled states, including quantum spin-liquid (SL) and valence bond solid (VBS) phases. In real materials, the presence of add
The Berry curvature in magnetic systems is attracting interest due to the potential tunability of topological features via the magnetic structure. $f$-electrons, with their large spin-orbit coupling, abundance of non-collinear magnetic structures and
Microscopic spin interactions on a deformed Kagom{e} lattice of volborthite are investigated through magnetoelastic couplings. A negative longitudinal magnetostriction $Delta L<0$ in the $b$ axis is observed, which depends on the magnetization $M$ wi
We clarify the existence of several magnetization plateaux for the kagome $S=1/2$ antiferromagnetic Heisenberg model in a magnetic field. Using approximate or exact localized magnon eigenstates, we are able to describe in a similar manner the plateau