Statistical description of the nuclear fermi liquid drop

The Thomas-Fermi method with applications to the nucleus is revisited. Incorporation of new developments like the treatment of fluctuations and correlations and nuclear pairing will be described. Level densities, response functions and density-density correlations are presented explicitly.     

Heavy-mass fermi liquid near a ferromagnetic instability in layered ruthenates

Low temperature magnetic, thermal, and transport measurements in Ca2-xSrxRuO4 clarify the appearance of a cluster glass phase, after the evolution of a nearly ferromagnetic heavy-mass Fermi liquid from the spin-triplet superconductor Sr2RuO4. As the Mott transition is approached across a 2nd-order structural transition, both the magnetization and specific heat decrease considerably while the transport scattering rate diverges. A metamagnetic transition to a highly spin polarized state, with a local moment S=1/2, is observed. We argue that an orbital rearrangement with Ca substitution changes itinerant ferromagnetism to antiferromagnetism of localized moments.     

Quantum critical behavior near a density-wave instability in an isotropic fermi liquid

We study the quantum critical behavior in an isotropic Fermi liquid in the vicinity of a zero-temperature density-wave transition at a finite wave vector qc. We show that, near the transition, the Landau damping of the soft bosonic mode yields a crossover in the fermionic self-energy from Sigma(k,omega) approximately Sigma(k) to Sigma(k,omega) approximately Sigma(omega), where k and omega are momentum and frequency. Because of this self-generated locality, the fermionic effective mass diverges right at the quantum critical point, not before; i.e., the Fermi liquid survives up to the critical point.     

Relaxation in a fermi liquid

The initial value problem for fermions is solved by an explicit construction of the time evolution operator in terms of a spectral representation of the linearized Uehling-Uhlenbeck collision integral. Unless the scattering between the fermions is very anisotropic the decay of a perturbation follows a universal law with relaxation frequencies depending on the total cross section and the ratio of the free energy per particle to the thermal broadening of the Fermi surface. The theory is applied to the decay of quasi-particles and quadrupole deformations of the Fermi sphere. Also the thermalization of the energy of relative motion in a heavy ion collision is studied. For an investigation of the general properties of the linearized fermion Uehling-Uhlenbeck collision operator a Levinson theorem for one-dimensional problems is derived.     

Spin-triplet pairing instability of the spinon fermi surface in a U(1) spin liquid

Recent experiments on the organic compound kappa-(ET)2Cu2(CN)3 have provided a promising example of a two-dimensional spin liquid state. This phase is described by a two-dimensional spinon Fermi sea coupled to a U(1) gauge field. We study Kohn-Luttinger-like pairing instabilities of the spinon Fermi surface due to singular interaction processes with twice-the-Fermi-momentum transfer. We find that under certain circumstances the pairing instability occurs in odd-orbital-angular momentum or spin-triplet channels. Implications to experiments are discussed.     

Calculation of Landau's fermi liquid parameters in nuclear matter with a reduced σ-mass

The effect of a reduced σ-mass on the Landau parameters in nuclear matter is investigated. An increase of about 5 MeV in the symmetry energy is found.     

Temperature effects in the liquid drop description of nuclear fission

Using recent results of the dependence of the surface tension and nuclear equilibrium density of temperature from an extended Fermi gas model the influence of temperature (compound nuclear excitation energy) on the liquid drop deformation energy and fission barrier height is studied. It is shown that increasing the temperature results in a lower fission barrier and a less constricted saddle point shape.     

Giant viscosity enhancement in a spin-polarized fermi liquid

The viscosity is measured for a Fermi liquid, a dilute 3He-4He mixture, under extremely high magnetic field/temperature conditions (Bor=1.5 mK). The spin-splitting energy microB is substantially greater than the Fermi energy kBTF; as a consequence the polarization tends to unity and s-wave quasiparticle scattering is suppressed for T相似文献   

Effective masses in a strongly anisotropic fermi liquid

Motivated by the recent experimental observation of quantum oscillations in the underdoped cuprates, we study the cyclotron and infrared Hall effective masses in an anisotropic Fermi liquid characterized by an angle-dependent quasiparticle residue Z_{q}. Our primary motivation is to explain the relatively large value of the cyclotron mass observed experimentally and its relation with the effective Hall mass. Using a phenomenological model of an anisotropic Fermi liquid, we find that the cyclotron mass is enhanced by a factor 1/Z_{q}, while the effective Hall mass is proportional to Z_{q}/Z_{q};{2}, where cdots, three dots, centered implies an averaging over the Fermi surface. If the Z-factor becomes small in some part of the Fermi surface (e.g., in the case of a Fermi arc), the cyclotron mass is enhanced sharply while the infrared Hall mass may remain small.     

Eigenmodes of a compressible liquid drop

The eigenmodes of a non-viscous, compressible liquid drop are investigated. The spectrum is shown to be derivable from two Hermitian eigenvalue problems which are weakly coupled by a non-Hermitian operator. It is shown that both eigenvalue problems admit an asymptotic, lepto-dermous expansion. Their contribution to the entropy of the droplet therefore also allows for such an expansion.     

New evidence for zero-temperature relaxation in a spin-polarized fermi liquid

Spin-echo experiments are reported for 3He-4He solutions under extremely high B/T conditions, B=14.75 T and T>or=1.73 mK. The 3He concentration x(3) was adjusted close to the value x(c) approximately 3.8% at which the spin-rotation parameter muM0 vanishes. In this way the transverse and longitudinal spin-diffusion coefficients D( perpendicular ),D( parallel ) were measured while keeping |muM(0)|<1. It is found that the temperature dependence of D( perpendicular ) deviates strongly from 1/T(2), with anisotropy temperature T(a)=4.26(+0.18)(-0.44) mK. This value is close to the theoretical prediction for dilute solutions and suggests that spin current relaxation remains finite as the temperature tends to zero.     

Energy dependence of quasiparticle relaxation in a disordered fermi liquid

A spectroscopic method is applied to measure the inelastic quasiparticle relaxation rate in a disordered Fermi liquid. The quasiparticle relaxation rate gamma is deduced from the magnitude of fluctuations in the local density of states, which are probed using resonant tunneling through a localized impurity state. We study its dependence on the excitation energy E measured from the Fermi level. In a disordered metal (heavily doped GaAs) we find that gamma~E3/2 within the experimentally accessible energy interval, in agreement with the Altshuler-Aronov theory for electron-electron interactions in diffusive conductors.     

Transition from a Tomonaga-Luttinger liquid to a fermi liquid in potassium-intercalated bundles of single-wall carbon nanotubes

We report on the first direct observation of a transition from a Tomonaga-Luttinger liquid to a Fermi-liquid behavior in potassium-intercalated mats of single-wall carbon nanotubes. Using high resolution photoemission spectroscopy, an analysis of the spectral shape near the Fermi level reveals a Tomonaga-Luttinger liquid power law scaling in the density of states for the pristine sample and for low dopant concentration. As soon as the doping is high enough to achieve a filling of the conduction bands of the semiconducting tubes, a distinct transition to metallic single-wall carbon nanotube bundles with the scaling behavior of a normal Fermi liquid occurs.     

Holographic metals and the fractionalized fermi liquid

We show that there is a close correspondence between the physical properties of holographic metals near charged black holes in anti-de Sitter (AdS) space, and the fractionalized Fermi liquid phase of the lattice Anderson model. The latter phase has a "small" Fermi surface of conduction electrons, along with a spin liquid of local moments. This correspondence implies that certain mean-field gapless spin liquids are states of matter at nonzero density realizing the near-horizon, AdS? × R2 physics of Reissner-Nordstr?m black holes.     

Forced oscillations of a magnetic liquid drop

Oscillations of a magnetic liquid drop suspended in a nonmagnetic viscous medium were studied analytically and experimentally. Oscillations occurred under the action of a linearly polarized alternating magnetic field. The frequency dependence of the amplitude and phase of oscillations was determined in the weak field and laminar flow approximation. The influence of the viscosity of the liquid on the natural drop oscillation frequency was studied. The obtained solution was used in experiments on determining interphase surface tension.     

Application of the nuclear liquid drop model to atomic and molecular physics problems

The liquid drop model is applied to describe some basic properties of atoms, homoatomic molecules, metallic clusters of atoms and fullerene molecules. Equilibrium atomic size, energy and polarizability of the atom are calculated. Collective modes of oscillations (dipole, quadrupole and monopole, or breathing, ones) are regarded. Electromagnetic radiation by an atom, passing through a barrier is studied. Equilibrium volume of a homoatomic molecule of two atoms, axes ratio, dissociation energy and the frequencies of the dipole oscillations are calculated. Models to describe some properties of clusters and fullerene molecules are proposed. The size of the metallic cluster, its energy and the frequency of dipole oscillations are calculated. The frequencies of the dipole and breathing mode oscillations of the fullerene molecules are obtained. The calculated frequency of the dipole oscillations was found to be in a rather good accord with the experimental one.     

T-approximation in the theory of normal fermi liquid

The coefficient of viscosity of³He is used as an example for considering the problem of calculating the macrocharacteristics of Fermi systems within the framework of the statistical eikonal T-approximation. It is shown that within the framework of the microscopic theory, it is possible to obtain an expression, without phenomenological parameters, which describes the viscosity not only in the temperature range in which the Landau theory is applicable but also in the range of little degeneracy.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 12–16, October, 1978.     

Energy bands,fermi surface and lattice instability in VS

The energy bands of vanadium monosulfide have been calculated by the KKR method in the muffin-tin approximation. The Fermi surface is very complicated, but there are two nearly cylindrical sheets of nearly equal cross-sections centered around Φ and M respectively. We suggest that this Fermi surface feature can support a charge-density-wave (CDW) state in the conduction electron system at low enough temperatures, and the formation of the CDW explains the lattice phase transition in this compound.