This review is dedicated to two-dimensional sigma models with flag manifold target spaces,
which are generalizations of the familiar CP n− 1 and Grassmannian models. They naturally …

Abstract In 1983, F. Duncan M. Haldane predicted a singlet ground state for isolated integer-
spin one-dimensional antiferromagnets with low single-ion anisotropy D. Since then, a lot of …

We show how to perform exact diagonalizations of SU (N) Fermi-Hubbard models on L-site
clusters separately in each irreducible representation (irrep) of SU (N). Using the …

Abstract Recently, SU (3) chains in the symmetric and self-conjugate representations have
been studied using field theory techniques. For certain representations, namely rank-p …

We provide numerical evidence of the Nagaoka's theorem in the SU (N) Fermi-Hubbard
model on various cluster geometries, such as the square, the honeycomb, and the triangular …

We compute the dynamical spin structure factor S (k, ω) of the SU (3) Heisenberg chain
variationally using a truncated Hilbert space spanned by the Gutzwiller projected particle …

We show that the ground-state expectation value of twisting operator is a topological order
parameter for $\text {U}(1) $-and $\mathbb {Z} _ {N} $-symmetric symmetry-protected …

We calculate the Haldane gap of the SU (3) spin [3 0 0] Heisenberg model using variational
uniform fully symmetric SU (3) matrix product states, and find that the minimal gap Δ/J …

We numerically demonstrate that, although it is critical, the two-box symmetric SU (3) chain
possesses edge states in the adjoint representation whose excitation energy scales with the …

We provide numerical evidence of the Nagaoka's theorem in the $\mathrm {SU}(N) $ Fermi-
Hubbard model on various cluster geometries, such as the square, the honeycomb and the …