Zero sound and first sound in thin arbitrarily polarized Fermi-liquid films

2013 ◽  
Vol 87 (10) ◽  
Author(s):  
David Z. Li ◽  
R. H. Anderson ◽  
M. D. Miller
1977 ◽  
Vol 29 (1-2) ◽  
pp. 99-118 ◽  
Author(s):  
E. Egilsson ◽  
C. J. Pethick

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
D. Valentinis ◽  
J. Zaanen ◽  
D. van der Marel

AbstractA highlight of Fermi-liquid phenomenology, as explored in neutral $$^3$$ 3 He, is the observation that in the collisionless regime shear stress propagates as if one is dealing with the transverse phonon of a solid. The existence of this “transverse zero sound” requires that the quasiparticle mass enhancement exceeds a critical value. Could such a propagating shear stress also exist in strongly correlated electron systems? Despite some noticeable differences with the neutral case in the Galilean continuum, we arrive at the verdict that transverse zero sound should be generic for mass enhancement higher than 3. We present an experimental setup that should be exquisitely sensitive in this regard: the transmission of terahertz radiation through a thin slab of heavy-fermion material will be strongly enhanced at low temperature and accompanied by giant oscillations, which reflect the interference between light itself and the “material photon” being the actual manifestation of transverse zero sound in the charged Fermi liquid.


Measurements have been made of the acoustic impedance ( Z ) of liquid 3 He under its saturated vapour pressure in the temperature range 0·035 to 0·6°K. A 1000 Mc/s sound wave is propagated along the axis of an X -cut quartz crystal, and undergoes many reflexions from each end of the crystal. Values are obtained for the reflexion coefficient at an interface between quartz and liquid 3 He by comparing the rate at which the signal decays in the crystal, with and without liquid 3 He present on the ends. These values then lead directly to the acoustic impedance ( Z ) of the liquid. Usually, Z / ρ (where ρ is the density) should be equal to the velocity of sound, and above 0·1°K this is found to be so. However, at about 0·1°K the value of Z / ρ increases abruptly, and at lower temperatures has a value about 10% greater. This result is in good agreement with Landau’s theory of a Fermi liquid, which relates the change in impedance with the propagation of a new mode of sound, the so-called 'zero-sound’.


1969 ◽  
Vol 185 (1) ◽  
pp. 384-392 ◽  
Author(s):  
C. J. Pethick
Keyword(s):  

1996 ◽  
Vol 102 (1-2) ◽  
pp. 227-235 ◽  
Author(s):  
K. Matsumoto ◽  
T. Ikegami ◽  
S. Ito ◽  
M. Kirigaya ◽  
Y. Okuda

2008 ◽  
Vol 35 (11) ◽  
pp. 323-327
Author(s):  
A. Yu. Romanov ◽  
V. P. Silin ◽  
S. A. Uryupin

1979 ◽  
Vol 57 (1) ◽  
pp. 99-106 ◽  
Author(s):  
R. Padjen

In this work the hydrodynamic approximations in the cold nuclear matter are analyzed and compared to the zero sound solution in the long wavelength limit. It is shown that the hydrodynamical hierarchy can reasonably approximate the zero sound solution only in the case of strongly repulsive interaction parameters. When the zero sound mode is damped, the hydrodynamical approximations beyond the first sound are shown to have no physical meaning.


Sign in / Sign up

Export Citation Format

Share Document