High-frequency damping of collective excitations in fermion systems. II. Damping of zero sound in normal liquidHe3

1989 ◽  
Vol 40 (1) ◽  
pp. 167-174 ◽  
Author(s):  
A. Holas ◽  
K. S. Singwi
2017 ◽  
Vol 26 (01n02) ◽  
pp. 1740027
Author(s):  
Yuya Tanizaki ◽  
Tetsuo Hatsuda

We propose a method of multi-regulator functional renormalization group (MR-FRG) which is a novel formulation of functional renormalization group with multiple infrared (IR) regulators. It is applied to a two-component fermionic system with an attractive contact interaction to study crossover phenomena between the Bardeen–Cooper–Schrieffer (BCS) phase and the Bose–Einstein condensation (BEC) phase. To control both the fermionic one-particle excitations and the bosonic collective excitations, IR regulators are introduced, one for the fermionic two-point function and another for the four-fermion vertex. It is shown that the Nozières–Schmitt-Rink (NSR) theory, which is successful to capture qualitative features of the BCS–BEC crossover, can be derived from MR–FRG. Some aspects of MR-FRG to go beyond the NSR theory are also discussed.


2003 ◽  
Vol 15 (11) ◽  
pp. S1259-S1267 ◽  
Author(s):  
J Mattsson ◽  
A Matic ◽  
G Monaco ◽  
D Engberg ◽  
L B rjesson

2001 ◽  
Vol 15 (19n20) ◽  
pp. 2747-2760
Author(s):  
RASHMI RAY

In this article, we shall focus on the collective dynamics of the fermions in a ν=1 quantum Hall droplet. Specifically, we propose to look at the quantum Hall ferromagnet. In this system, the electron spins are ordered in the ground state due to the exchange part of the Coulomb interaction and the Pauli exclusion principle. The low energy excitations are ferromagnetic magnons. To provide a means for describing these magnons, we shall discuss a method of introducing collective coordinates in the Hilbert space of many-fermion systems. These collective coordinates are bosonic in nature. They map a part of the fermionic Hilbert space into a bosonic Hilbert space. Using this technique, we shall interpret the magnons as bosonic collective excitations in the Hilbert space of the many-electron Hall system. By considering a Hall droplet of finite extent, we shall also obtain the effective Lagrangian governing the spin collective excitations at the edge of the sample.


1996 ◽  
Vol 52 (a1) ◽  
pp. C366-C366
Author(s):  
G. Ruocco ◽  
U. Bergmann ◽  
M. Krisch ◽  
C. Masciovecchio ◽  
V. Mazzacurati ◽  
...  

2008 ◽  
Vol 452 (1) ◽  
pp. 140-142 ◽  
Author(s):  
M. Jiménez-Ruiz ◽  
M.D. Ruiz-Martín ◽  
G.J. Cuello ◽  
R. Fernández-Perea ◽  
F.J. Bermejo

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