Well-defined quasiparticles in interacting metallic grains

We analyze spectral functions of mesoscopic systems with large dimensionless conductance, which can be described by a universal Hamiltonian. We show that an important class of spectral functions are dominated by one single state only, which implies the existence of well-defined (i.e., infinite-lifetime) quasiparticles. Furthermore, the dominance of a single state enables us to calculate zero-temperature spectral functions with high accuracy using the density-matrix renormalization group. We illustrate the use of this method by calculating the tunneling density of states of metallic grains, of which we discuss the crossover from the few-electron to the bulk regime.     

Integrable chain of electrons interacting with phonons

The exact wave function of a chain of electrons interacting with local phonons is constructed. The ground-state energy and the gap in the electronic excitation spectrum are calculated. Pis’ma Zh. éksp. Teor. Fiz. 63, No. 2, 83–88 (25 January 1996)     

Integrable models for confined fermions: applications to metallic grains

We study integrable models for electrons in metals when the single particle spectrum is discrete. The electron–electron interactions are BCS-like pairing, Coulomb repulsion, and spin-exchange coupling. These couplings are, in general, nonuniform in the sense that they depend on the levels occupied by the interacting electrons. By using the realization of spin-1/2 operators in terms of electrons the models describe spin-1/2 models with nonuniform long range interactions and external magnetic field. The integrability and the exact solution arise since the model Hamiltonians can be constructed in terms of Gaudin models. Uniform pairing and the resulting orthodox model correspond to an isotropic limit of the Gaudin Hamiltonians. We discuss possible applications of this model to a single grain and to a system of few interacting grains.     

Exact partition potential for model systems of interacting electrons in 1-D

We find the numerically exact partition potential for 1-D systems of interacting electrons designed to model diatomic molecules. At integer fragment occupations, the kinetic contribution to the partition potential develops sharp features in the internuclear region that nearly cancel corresponding features of exchange-correlation. They occur at locations that coincide with those of well-known features of the underlying molecular Kohn–Sham potential. For non-integer fragment occupations, we demonstrate that the fragment energy gaps determine the kinetic part of the partition potential. Our results highlight the importance of non-additive noninteracting kinetic and exchange-correlation energy approximations in density-embedding methods at large internuclear separations and the importance of non-additive noninteracting kinetic energy approximations at all separations.     

Integrable open-boundary conditions for the q-deformed supersymmetric U model of strongly correlated electrons

A general graded reflection equation algebra is proposed and the corresponding boundary quantum inverse scattering method is formulated. The formalism is applicable to all boundary lattice systems where an invertible R-matrix exists. As an application, the integrable open-boundary conditions for the q-deformed supersymmetric U model of strongly correlated electrons are investigated. The diagonal boundary K-matrices are found and a class of integrable boundary terms are determined. The boundary system is solved by means of the coordinate space Bethe ansatz technique and the Bethe ansatz equations are derived. As a sideline, it is shown that all R-matrices associated with a quantum affine superalgebra enjoy the crossing-unitarity property.     

Superconductivity in ultrasmall metallic grains

We review recent experimental and theoretical work on superconductivity in ultrasmall metallic grains, i.e. grains sufficiently small that the conduction electron energy spectrum becomes discrete. The discrete excitation spectrum of an individual grain can be measured by the technique of single‐electron tunneling spectroscopy, and reveals parity effects indicative of pairing correlations in the grain. After introducing the discrete BCS model that has been used to model such grains, we review a phenomenological, grand‐canonical, variational BCS theory describing the paramagnetic breakdown of these pairing correlations with increasing magnetic field. We also review recent canonical theories that have been developed to describe how pairing correlations change during the crossover, with decreasing grain size, from the bulk limit to the limit of few electrons, and compare their results to those obtained using Richardson's exact solution of the discrete BCS model.     

Spin-polarized ground state for interacting electrons in two dimensions

We study numerically the ground state magnetization for clusters of interacting electrons in two dimensions in the regime where the single particle wave functions are localized by disorder. It is found that the Coulomb interaction leads to a spontaneous ground state magnetization. For a constant electronic density, the total spin increases linearly with the number of particles, suggesting a ferromagnetic ground state in the thermodynamic limit. The magnetization is suppressed when the single particle states become delocalized.     

Asymmetric zero-bias anomaly for strongly interacting electrons in one dimension

We study a system of one-dimensional electrons in the regime of strong repulsive interactions, where the spin exchange coupling J is small compared with the Fermi energy, and the conventional Tomonaga-Luttinger theory does not apply. We show that the tunneling density of states has a form of an asymmetric peak centered near the Fermi level. In the spin-incoherent regime, where the temperature is large compared to J, the density of states falls off as a power law of energy epsilon measured from the Fermi level, with the prefactor at positive energies being twice as large as that at the negative ones. In contrast, at temperatures below J the density of states forms a split peak with most of the weight shifted to negative epsilon.     

Green's function for magnetically incoherent interacting electrons in one dimension

Using a path integral approach and bosonization, we calculate the low-energy asymptotics of the one particle Green's function for a "magnetically incoherent" one dimensional strongly interacting electron gas at temperatures much greater than the typical exchange energy but much lower than the Fermi energy. The Green's function exhibits features reminiscent of spin-charge separation, with exponential spatial decay and scaling behavior with interaction dependent anomalous exponents inconsistent with any unitary conformal field theory. We compute the tunneling density of states at low energies and find that it is a power law in energy with exponent 1/(4g)-1, where g is the Luttinger interaction parameter in the charge sector. The underlying physics is made transparent by the simplicity of the approach. Our results generalize those of Cheianov and Zvonarev [Phys. Rev. Lett. 92, 176401 (2004)]].     

Integrable chain of electrons coupled with squeezed phonons

The exact wave function for a one-dimensional chain of electrons coupled with squeezed phonons is obtained. The ground state energy and the gap in the electron spectrum are calculated. It is shown that there exists an optimal phonon number n ^ph≠0 for the ground state of the system. The results are generalized for a system of correlated electrons. Pis’ma Zh. éksp. Teor. Fiz. 64, No. 3, 140–145 (10 August 1996) On leave from Institute of General and Inorganic Chemistry of the Russian Academy of Sciences, 31 Leninskii prosp., GSP-1, Moscow, 117907, Russia Published in English in the original Russian journal. Edited by Steve Torstveit.     

金属微纳结构中的热电子

随着光学器件的尺寸减小到纳米量级,金属微纳结构中的热电子越来越引人注目。热电子是指晶格中处于激发态的电子,在涉及光能转化的许多基础研究和应用中发挥着重要的作用。掌握金属微纳结构中热电子的特性有利于相关微纳光学器件的设计。为此,文章从热电子产生和弛豫的具体物理过程出发,对金属微纳结构中的光致直接激发热电子和表面等离激元热电子进行了详尽的讨论。掌握热电子的相关理论只是实现基于热电子的微纳光学器件的第一步,热电子的研究还有很大的发展空间。     

Loschmidt echo in a system of interacting electrons

We study the Loschmidt echo for a system of electrons interacting through mean-field Coulomb forces. The electron gas is modeled by a self-consistent set of hydrodynamic equations. It is observed that the quantum fidelity drops abruptly after a time that is proportional to the logarithm of the perturbation amplitude. The fidelity drop is related to the breakdown of the symmetry properties of the wave function.     

Self-trapping of interacting electrons in crystalline nonlinear chains

Considering the nonlinearity arising from the interaction between electrons and latticevibrations, an effective electronic model with a self-interaction cubic term is employedto study the interplay between electron-electron and electron-phonon interactions. Basedon numerical solutions of the time-dependent nonlinear Schroedinger equation for aninitially localized two-electron singlet state, we show that the magnitude of theelectron-phonon coupling χ necessary to promote the self-trapping of theelectronic wave packet decreases as a function of the electron-electron interactionU. We show that such dependence is directly linked to the narrowing ofthe band of bounded two-electron states as U increases. We obtain thetransition line in the χ × U parameter space separatingthe phases of self-trapped and delocalized electronic wave packets. The present resultsindicates that nonlinear contributions plays a relevant role in the electronic wave packetdynamics, particularly in the regime of strongly correlated electrons.     

Self-consistent Green's function theory for interacting electrons in a random potential

A new set of self-consistent equations is proposed for the calculation of the disorder and Coulomb contributions to the electron self-energy and the electron-hole interaction in a many-electron system in the presence of a site-diagonal random potential. The treatment of the disorder is along the lines of the coherent-potential approximation. An explicit expression for the Coulomb self-energy is derived within the time-dependent screened Hartree-Fock approximation. Some possible applications of the formalism to the formation of a Coulomb gap in a doped semiconductor and to electron-hole interaction effects in the optical spectra of alloy semiconductor systems are discussed.Dedicated to B. Mühlschlegel on the occasion of his 60th birthday     

Spin-charge separation in Aharonov-Bohm rings of interacting electrons

We investigate the properties of strongly correlated electronic models on a flux-threaded ring connected to semi-infinite free-electron leads. The interference pattern of such an Aharonov-Bohm ring shows sharp dips at certain flux values, determined by the filling, which are a consequence of spin-charge separation in a nanoscopic system.     

源于“团簇-共振”模型的理想金属玻璃电子化学势均衡

理想金属玻璃是指完全满足电子结构稳定性的金属玻璃. 在我们前期工作中提出的“团簇加连接原子"及理想金属玻璃的“团簇-共振"结构模型的 基础上, 本文指出理想金属玻璃应该满足电子化学势均衡判据, 可定量给出团簇与连接原子的比例, 最终确定了理想金属玻璃成分式[团簇](连接原子)_x. 运用此判据, 解析了Cu-Zr基和Co-B基块体金属玻璃, 实验确定的最佳形成能力成分满足电子化学势均衡.     

Theory of quasimagnetic impurity in a metal: An exactly soluble model of interacting electrons

We study an impurity atom, on which two-body forces are important, dissolved in a metal, where they are negligible. With the aid of the well-known boson excitation spectrum of the electronic Fermi sea, we predict the low-energy effects of one- and two-body potentials on the impurity, in the nonmagnetic regime. We obtain for the first time exact expressions for the cutoff independent contributions to the specific heat and paramagnetic susceptibility, the spectral amplitudes or one-electron density of states on the impurity, and the scattering cross-section. The entire spectrum of manybody eigenstates is explicitly obtained. The onset of a local magnetic moment appears as a sudden breakdown of the model Hamiltonian, and occurs when the two-body potential exceeds a critical value U_c which is O(E_F) in magnitude. A study of the renormalization of the interaction parameters terminates the paper.