Zero-sound condensate in a Fermi liquid

2017 ◽  
Vol 48 (6) ◽  
pp. 897-899
Author(s):  
E. E. Kolomeitsev ◽  
D. N. Voskresensky
Keyword(s):  
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):  

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

2013 ◽  
Vol 27 (29) ◽  
pp. 1347005
Author(s):  
J. W. CLARK ◽  
V. A. KHODEL ◽  
M. V. ZVEREV

Non-Fermi-liquid (NFL) behavior of the specific heat C(T) of two-dimensional (2D) liquid 3 He , first uncovered in measurements almost 20 years ago, is explained in terms of intrinsic properties of this system that emerge when its density rises and the liquid becomes strongly correlated. The occurrence of a T-independent β term in C(T) is attributed to satisfaction of the conditions for Dulong–Petit behavior by the boson part of the free energy. This unexpected classicality stems from softening of the transverse zero-sound mode (TZSM) in the density region where the anomaly in C(T), associated with a quantum critical point (QCP), is observed.


1977 ◽  
Vol 29 (1-2) ◽  
pp. 99-118 ◽  
Author(s):  
E. Egilsson ◽  
C. J. Pethick

2013 ◽  
Vol 87 (10) ◽  
Author(s):  
David Z. Li ◽  
R. H. Anderson ◽  
M. D. Miller

2017 ◽  
Vol 96 (3) ◽  
Author(s):  
D. Frenklakh ◽  
A. Gorsky
Keyword(s):  

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