Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-04-05
Phys. Rev. B 68 064501 (2003)
Physics
Condensed Matter
Statistical Mechanics
5 page, 3 figures
Scientific paper
10.1103/PhysRevB.68.064501
We investigate the collective excitations of $^3$He-$^4$He mixture films at zero temperature within random phase approximation and linear response theory. In low concentration region of $^3$He, a level repulsion between zero sound and third sound mode is derived, which opens the possibility to observe quantum mechanical coherence between $^3$He particle-hole pair and the condensate of $^4$He. We also investigate the $^3$He-$^4$He vertex corrections in ladder approximation and show that the third branch, the combined mode of fermionic particle-hole pair and the third sound quanta, provides a unique correction to Landau $f$ function. Some implications to the fermion-boson mixture of alkali atoms in a potential trap is discussed.
Kurihara Susumu
Yokoshi Nobuhiko
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