Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2004-01-08
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
9 pages, 3figures
Scientific paper
10.1103/PhysRevA.70.013612
We study the quasi-one-dimensional (Q1D) spin-polarized bose-fermi mixture of atomic gases at zero temperature. Bosonic excitation spectra are calculated in random phase approximation on the ground state with the uniform BEC, and the Peierls instabilities are shown to appear in bosonic collective excitation modes with wave-number $2k_F$ by the coupling between the Bogoliubov-phonon mode of bosonic atoms and the fermion particle-hole excitations. The ground-state properties are calculated in the variational method, and, corresponding to the Peierls instability, the state with a periodic BEC and fermionic density waves with the period $\pi/k_F$ are shown to have a lower energy than the uniform one. We also briefly discuss the Q1D system confined in a harmonic oscillator (HO) potential and derive the Peierls instability condition for it.
Miyakawa Takahiko
Suzuki Toru
Yabu Hiroyuki
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