The quantum-statistical theory of amorphous metal (AM) is developed by an example of Fe—B. As supposed, the short-range order clusters ($K_{j}$) of high-spin (HS) Fe ions are separated by holes ($h_{ij}$) of low-spin (LS) Fe ions covalently bonded with B$^{+}$ cations. Wave-functions’ amplitudes of LS Fe ions ($\xi_{1}$) and B$^{+}$ ionic states ($\xi_{+}$) are calculated within the many-electron operator spinors (MEOS) representation, $D_{r}^{1}$ and $P_{R}$. The variation principle links values $\xi_{1}(T)$ and $\xi_{+}(T)$ decreasing with the increase of temperature $T < T_{min}$. The AM-phase destruction (crystallization at $T \rightarrow T_{min} - 0$) is caused by B$^{0}$-atoms’ entropy and high heat capacity $C_{V}(T)$ caused by it. The chemical-bond fluctuations (CBF) entropy of cations and band electrons supports the AM stability. One part of electrical resistance (ER) is created by capture mechanisms of electrical-current carriers by covalent states and CBF. It is decreasing with the $T$ increasing. Scattering on ‘impurity’ phonons gives ER part, which increases linearly with the $T$ increasing. Combination of these effects allows to obtain materials with constant ER (when T changes) for $T < T_{min}$.