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In kagome metals, the chiral current order $\eta$ with
time-reversal-symmetry-breaking is the source of various exotic electronic
states, while the method of controlling the current order and its interplay
with the star-of-David bond order $\phi$ are still unsolved. Here, we reveal
that tiny uniform orbital magnetization $M[\eta,\phi]$ is induced by the chiral
current order, and its magnitude is prominently enlarged under the presence of
the bond order. Importantly, we derive the magnetic-field ($h$)-induced
Ginzburg-Landau free energy expression $\Delta F[h,\eta,\phi]$, which enables
us to elucidate the field-induced current-bond phase transitions in kagome
metals. The emergent current-bond-$h$ trilinear coupling term in the free
energy, $-3m_1 h\eta\phi$, naturally explains the characteristic magnetic field
sensitive electronic states in kagome metals, such as the field-induced current
order and the strong interplay between the bond and current orders.
Furthermore, we present a natural explanation for the drastic strain-induced
increment of the current order transition temperature T_{TRSB} reported by a
recent experiment.
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