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Using Landau theory of Fermi liquids we calculate the dynamic response of both a polarized and unpolarized normal Fermi gas at zero temperature in the strongly interacting regime of large scattering length. We show that at small excitation…

Statistical Mechanics · Physics 2010-04-22 S. Stringari

We present a unified approach to neutrino processes in nucleon matter based on Landau's theory of Fermi liquids that includes one- and two-quasiparticle-quasihole pair states as well as mean-field effects. We show how rates of neutrino…

Nuclear Theory · Physics 2008-11-26 G. I. Lykasov , C. J. Pethick , A. Schwenk

A continuous unitary transformation is introduced which realizes Landau's mapping of the elementary excitations (quasi-particles) of an interacting Fermi liquid system to those of the system without interaction. The conservation of the…

Strongly Correlated Electrons · Physics 2009-11-07 Caspar P. Heidbrink , Götz S. Uhrig

We analyze the linear response of a half filled Landau level to long wavelength and low frequency driving forces, using Fermi liquid theory for composite fermions. This response is determined by the composite fermions quasi--particle…

Condensed Matter · Physics 2009-10-28 Ady Stern , Bertrand I. Halperin

We consider the response of the density of a fermion ensemble to an applied weak static magnetic field. It is known that for non-interacting Fermi gas, this response is fully characterized by the Fermi volume and the Berry curvature on the…

Strongly Correlated Electrons · Physics 2017-09-06 Jing-Yuan Chen

We discuss renormalization group approaches to strongly interacting Fermi systems, in the context of Landau's theory of Fermi liquids and functional methods, and their application to neutron matter.

Nuclear Theory · Physics 2012-08-17 B. Friman , K. Hebeler , A. Schwenk

The Landau parameters obtained from the matrix elements of an effective interaction recently derived within the formalism of correlated basis functions have been used to carry out a study of the weak response of neutron matter in the region…

Nuclear Theory · Physics 2015-06-11 Omar Benhar , Andrea Cipollone , Andrea Loreti

We study the effects of the tensor force, present in modern effective nucleon-nucleon interactions, in the spin instability of nuclear and neutron matter. Stability conditions of the system against certain very low energy excitation modes…

Nuclear Theory · Physics 2015-06-15 J. Navarro , A. Polls

We present two novel relations between the quasiparticle interaction in nuclear matter and the unique low momentum nucleon-nucleon interaction in vacuum. These relations provide two independent constraints on the Fermi liquid parameters of…

Nuclear Theory · Physics 2009-11-07 A. Schwenk , G. E. Brown , B. Friman

Properties of nuclear systems at subsaturation densities can be obtained from different approaches. We demonstrate the use of the density autocorrelation function which is related to the isothermal compressibility and, after integration, to…

Nuclear Theory · Physics 2017-12-07 Gerd Roepke , Dmitri Voskresensky , Ivan Kryukov , David Blaschke

It is demonstrated that the Landau diamagnetism of the free electron gas and a monovalent metal can be considered as a Fermi surface effect. Only relatively small number of electron states close to the Fermi surface are diamagnetically…

Materials Science · Physics 2018-12-26 Alexander V. Nikolaev

Using a relativistic version of Landau theory of Fermi liquid with $\sigma-\omega$ and $\rho$ mesons exchange, we have obtained an equation of state for dense neutron star matter in presence of strong quantizing magnetic field. It is found…

Astrophysics · Physics 2013-11-05 Soma Mandal , Roni Saha , Sutapa Ghosh , Somenath Chakrabarty

A nonlinear transformation approach is formulated for the correlated fermions' thermodynamics through a medium-scaling effective action. An auxiliary implicit variable-effective chemical potential is introduced to characterize the…

Statistical Mechanics · Physics 2009-10-20 Ji-sheng Chen

We study the nonanalytic behavior of the static spin susceptibility of 2D fermions as a function of temperature and magnetic field. For a generic Fermi liquid, \chi_s (T, H)= const+c_1 max (T,\mu_B|H|), where c_1 is shown to be expressed…

Strongly Correlated Electrons · Physics 2016-08-31 Dmitrii L. Maslov , Andrey V. Chubukov , Ronojoy Saha

The Fermionic Chern-Simons approach has had remarkable success in the description of quantum Hall states at even denominator filling fractions $\nu=\frac{1}{2m}$. In this paper we review a number of recent works concerned with modeling this…

Condensed Matter · Physics 2009-10-28 Steven H. Simon

An exact formalism for the relativistic version of Landau theory of Fermi liquid in presence of strong quantizing magnetic field is developed. Both direct and exchange type interactions with scalar and vector coupling cases are considered.

Astrophysics · Physics 2014-10-13 Sutapa Ghosh , Soma Mandal , Somenath Chakrabarty

We consider a Fermi liquid model with density-density as well as quadrupolar forward scattering interactions parametrized by the Landau parameters $F_0$ and $F_2$. Using bosonization and a decimation technique, we compute collective modes…

Strongly Correlated Electrons · Physics 2019-09-18 Rui Aquino , Daniel G. Barci

The formalism of next-to-leading order Fermi Liquid Theory is employed to calculate the thermal properties of symmetric nuclear and pure neutron matter in a relativistic many-body theory beyond the mean field level which includes two-loop…

Nuclear Theory · Physics 2017-03-08 Constantinos Constantinou , Sudhanva Lalit , Madappa Prakash

We generalize the problem of strongly interacting neutron matter by adding a periodic external modulation. This allows us to study from first principles a neutron system that is extended and inhomogeneous, with connections to the physics of…

Nuclear Theory · Physics 2016-04-13 Mateusz Buraczynski , Alexandros Gezerlis

We investigate Fermi liquid states of the ultra-cold magnetic dipolar Fermi gases in the simplest two-component case including both thermodynamic instabilities and collective excitations. The magnetic dipolar interaction is invariant under…

Quantum Gases · Physics 2012-05-29 Yi Li , Congjun Wu