  A maximal steady-state fermionic entanglement of a nanoelectronic system is
generated in finite temperature non-Markovian environments. The fermionic
entanglement dynamics is presented by connecting the exact solution of the
system with an appropriate definition of fermionic entanglement. We prove that
the two understandings of the dissipationless non-Markovian dynamics, namely
the bound state and the modified Laplace transformation are completely
equivalent. For comparison, the steady-state entanglement is also studied in
the wide-band limit and Born-Markovian approximation. When the environments
have a finite band structure, we find that the system presents various kinds of
relaxation processes. The final states can be: thermal or thermal-like states,
quantum memory states and oscillating quantum memory states. Our study provide
an analytical way to explore the non-Markovian entanglement dynamics of
identical fermions in a realistic setting, i.e., finite temperature reservoirs
with a cutoff spectrum.
