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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 $M$ with a peculiar relation of $Delta L/L propto M^{1.3}$. Based on the exchange striction model, it is argued that the negative magnetostriction originates from a pantograph-like lattice change of the Cu-O-Cu chain in the $b$ axis, and that the peculiar dependence arises from the local spin correlation. This idea is supported by DFT+$U$ calculations simulating the lattice change and a finite-size calculation of the spin correlation, indicating that the recently proposed coupled-trimer model is a plausible one.
Motivated by recent experimental progress on various cluster Mott insulators, we study an extended Hubbard model on a breathing Kagom{e} lattice with a single electron orbital and $1/6$ electron filling. Two distinct types of cluster localization are
We present magnetization measurements on oriented powder of ZnCu$_{3}$(OH)$_{6}$Cl$_{2}$ along and perpendicular to the orienting field. We find a dramatic difference in the magnetization between the two directions. It is biggest at low measurement f
Kagom${e}$ lattice is a fertile platform for topological and intertwined electronic excitations. Recently, experimental evidence of an unconventional charge density wave (CDW) is observed in a Z2 kagom${e}$ metal AV$_{3}$Sb$_{5}$ (A= K, Cs, Rb). This
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
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 exp