Superfluid fermi gas in a 1D optical lattice

We calculate the superfluid transition temperature for a two-component 3D Fermi gas in a 1D tight optical lattice and discuss a dimensional crossover from the 3D to quasi-2D regime. For the geometry of finite size discs in the 1D lattice, we find that even for a large number of atoms per disc the critical effective tunneling rate for a quantum transition to the Mott insulator state can be large compared to the loss rate caused by three-body recombination. This allows the observation of the Mott transition, in contrast to the case of Bose-condensed gases in the same geometry.     

Dilute Fermi gas in quasi-one-dimensional traps: from weakly interacting fermions via hard core bosons to a weakly interacting Bose gas

We study equilibrium properties of a cold two-component Fermi gas confined in a quasi-one-dimensional trap of the transverse size l(perpendicular). In the dilute limit (nl(perpendicular)<1, where n is the 1D density) the problem is exactly solvable for an arbitrary 3D fermionic scattering length aF. When l(perpendicular)/aF goes from -infinity to +infinity, the system successively passes three regimes: weakly interacting Fermi gas, hard core Bose gas, and weakly coupled Bose gas. The regimes are separated by two crossovers at aF approximately +/-nl2(perpendicular). In conclusion, we discuss experimental implications of these results.     

Dimensionality and Finite Number Effect on BCS Transition of Atomic Fermi Gas

The effect of finite number and dimensionality has been discussed in this paper. The finite number effect has a negative correction to final temperature for 2D or 3D atomic Fermi gases. The changing of final temperature obtained by scanning from BEC region to BCS region are 10% or so with N≤10³ and can be negligible when N>10³. However, in 1D atomic Fermi gas, the effect gives a positive correction which greatly changes the final temperature in Fermi gas. This behavior is completely opposed to the 2D and 3D cases and a proper explanation is still to be found. Dimensionality also has a positive correction, in which the more tightly trapping, the higher final temperature one gets with the same particle number. A discussion is also presented.     

Oscillatory magnetothermopower and resonant phonon drag in a high-mobility 2D electron gas

Experimental and theoretical evidence is presented for new low-magnetic-field (B<5 kG) 1/B oscillations in the thermoelectric power of a high-mobility GaAs/AlGaAs two-dimensional (2D) electron gas. The oscillations result from inter-Landau-level resonances of acoustic phonons carrying a momentum equal to twice the Fermi wave number at B=0. Numerical calculations show that both 3D and 2D phonons can contribute to this effect.     

Spin-magnetoplasma waves in a 2D electron system

Oscillations of a 2D electron plasma in a transverse magnetic field have been theoretically studied taking into account spin-orbit interaction. Four branches of spin-plasmon oscillations associated with different selection rules for spin and orbital quantum numbers have been shown to appear at a small plasmon momentum in a semiclassical limit (the Fermi energy is much higher than the Landau quantum). In the quantum case (the filling factor ν is about unity), the number of branches changes from three to six depending on ν value.     

超流费米气体中两维孤子的动力学

我们利用解析和数值的方法,研究从Bardeen-Cooper-Schrieffer(BCS)超流到玻色-爱因斯坦凝聚(BEC)渡越的过程里超流费米气体中两维(2D)孤子的形成和演化.基于超流流体力学方程,在准二维和长波近似下,推导描述弱非线性激发带正色散项的Kadomtsev-Petviashvili方程;给出整个BCS-BEC渡越的2D孤子解,以及数值求解孤子在囚禁势中的演化.数值结果显示由于Snake(横向)不稳定性,大振幅的暗孤子会衰变为大量涡旋-反涡旋对,并且这个不稳定性在不同超流区域不同.     

Optoelectronic properties of two-dimensional GaN adsorbed with H,N and O: A first-principle study

In this paper, we have investigated optoelectronic properties of two-dimensional GaN adsorbed with non-metal atoms: H, N and O based on first-principle. We find that adsorption of H, N and O atom on 2D GaN is achieved by chemisorption, and the most stable adsorption site is at the top of N atom. Band structure of 2D GaN after adsorbing H atom moves to low energy region and two-dimensional GaN is transformed into an n-type semiconductor. After adsorption of N atom, a new impurity energy appears at the Fermi level, and N adatom could induce magnetism into 2D GaN. Static dielectric constants of 2D GaN increase and adsorption spectrums have extend to infrared band when adsorbing H and N. Strong reflection peaks and strong adsorption peaks after adsorption are located at deep ultraviolet range, which is beneficial for optoelectronic application in the deep ultraviolet. Specifically, two-dimensional GaN adsorbed with H atom is more conducive to manufacture of nano-optoelectronic devices.     

‘Confined coherence’ in strongly correlated anisotropic metals

We present a detailed discussion of both theoretical and experimental evidence in favour of the existence of states of ‘confined coherence’ in metals of sufficiently high anisotropy and with sufficiently strong correlations. The defining property of such a state is that single electron coherence is confined to lower dimensional subspaces (planes or chains) so that it is impossible to observe interference effects between histories which involve electrons moving between these subspaces. The most dramatic experimental manifestation of such a state is the coexistence of incoherent non-metallic transport in one or two directions (transverse to the lower dimensional subspaces) with coherent transport in at least one other direction (within the subspaces). The magnitude of the Fermi surface warping due to transverse (intersubspace) momentum plays the role of an order parameter (in a state of confined coherence, this order parameter vanishes) and the effect can occur in a pure system at zero temperature. Our theoretical approach is to treat an anisotropic two (2D)- or three (3D)-dimensional electronic system as a collection of one (1D)- or two-dimensional electron liquids coupled by weak interliquid single-particle hopping. We find that a necessary condition for the destruction of coherent interliquid transport is that the intraliquid state be a non-Fermi liquid. We present a very detailed discussion of coupled 1D Luttinger liquids and the reasons for believing in the existence of a phase of confined coherence in that model. This provides a paradigm for incoherent transport between weakly coupled 2D non-Fermi liquids, the case relevant to the experiments of which we are aware. Specifically, anomalous transport data in the (normal state of the) cuprate superconductors and in the low temperature metallic state of the highly anisotropic organic conductor (TMTSF)₂PF₆ cannot be understood within a Fermi liquid framework, and, we argue, the only plausible way to understand that transport is in terms of a state of confined coherence.     

Universal transverse conductance between quantum Hall regions and (2+1) D bosonization

Using bosonization techniques for (2+1) D systems, we show that the transverse conductance for a system with general current interactions, when measured between perfect Hall regions is not renormalized at low temperatures. Our method extends two results we have recently obtained on low dimensional fermionic systems: on the one hand, the relationship between universality of Landauer conductance and universality of bosonization rules for (1+1) D systems, and on the other hand, the universal character of the bosonized topological current associated to a (2+1) D fermionic system with current interactions.     

de Haas van Alphen (dHvA) effect in two-dimensional (2D) conductors: susceptibility oscillations

A new scheme for analyzing the de Haas van Alphen (dHvA) effect in nearly two dimensional (2D) metals (i.e. with nearly cylindrical Fermi surface) is presented. The envelope of the magnetic susceptibility oscillations is calculated in the entire range of magnetic fields and temperatures. The resulting envelope function is found to be proportional to a universal function of the dimensionless parameter Q=hω_c/k _B T. The upper (i.e. paramagnetic) branch of the susceptibility envelope has a maximum at a certain Q = 5.45. This universal value may be useful for determining the effective cyclotron mass and the Fermi energy of nearly 2D metals. A simple relation between magnetization oscillations amplitude and calculated susceptibility amplitudes is derived. The corresponding limiting formulae for the magnetization oscillations envelope are found to match smoothly around the value X = 2π²/Q?2 of the Lifshitz-Kosevich (LK) smearing parameter. The influence of Fermi surface sheets with open orbits on magneto-quantum oscillations is considered. Triangle-like rather than saw-tooth-like oscillations at ultralow temperatures are obtained and substantially diminished magnetization and susceptibility amplitudes are calculated. This suggests the possibility of estimating the band structure parameters of Fermi surface sheets from magneto-quantum oscillations measurements.     

A Hierarchy of Universal Quantities in RG Equations for the 2D Coulomb Gas

A hierarchy of universal quantities in the double expansion RG equations for two dimensional (2D) Coulomb gas is found by using a length-dependent dielectric function ε(γ).     

Two-component Fermi gas on internal-state-dependent optical lattices

We study the phase diagram of a one-dimensional, two-component (i.e., pseudo-"spin"-(1/2)) ultracold atomic Fermi gas. The two atom species can have different hopping or mass. A very rich phase diagram for equal densities of the species is found, containing Mott insulators and superfluids. We also discuss coupling such 1D systems and the experimental signatures of the phases. In particular, we compute the spin-structure factor at small momentum, which should reveal a spin gap.     

State-to-state dynamics of high-n Rydberg H-atom scattering with D2

Full quantum-state resolved scattering of a highly excited Rydberg H atom with D2 has been carried out using the Rydberg H-atom time-of-flight method. A detailed analysis of the experimental results shows that both inelastic and reactive scatterings are significant in the Hn-D2 collisions, and nuclear spin is conserved in the inelastic scattering process. The differential cross sections for the Hn-D2 reaction measured in this work are then compared with the results for the H+ reaction with D2 in an ion beam scattering experiment. The remarkable agreement between the two experiments suggests that the Fermi independent-collider model is valid even at the full quantum state-to-state scattering level, providing a promising tool for investigating the state-to-state dynamics of certain elementary ion-molecule reactions.     

Effective Equations for Repulsive Quasi‐One Dimensional Bose–Einstein Condensates Trapped with Anharmonic Transverse Potentials

One‐dimensional nonlinear Schrödinger equations are derived to describe the axial effective dynamics of cigar‐shaped atomic repulsive Bose‐Einstein condensates trapped with anharmonic transverse potentials. The accuracy of these equations in the perturbative, Thomas‐Fermi, and crossover regimes were verified numerically by comparing the ground‐state profiles, transverse chemical potentials and oscillation patterns with those results obtained for the full three‐dimensional Gross‐Pitaevskii equation. This procedure allows us to derive different patterns of 1D nonlinear models by the control of the transverse confinement even in the presence of an axial vorticity.     

The boundary condition integration technique: results for the Hubbard model in 1D and 2D

We study models of strongly correlated electrons in one-and two dimensions. We exactly diagonalize small clusters with general boundary conditions (BC) and integrate over all possible BC. This technique recovers the kinetic energy part of the (extended lattice) Hamiltonianexactly in a grand-canonical formulation. A continuous range of particle densities may be described with this technique and the momentum space can be probed for arbitrary momenta. For the Hubbard Hamiltonian we recover details of the Mott-insulating behaviour for the momentum distribution function at half filling, both in 1D and 2D. Off half-filling the shape of thecanonical Fermi surface is strongly distorted in 2D with respect to thegrand canonical Fermi surface. The shape of the grand canonical Fermi surface obtained by this finite-size technique reduces in the weak-coupling limit exactly to that of the infinite-lattice Fermi sea.email: UPH 301 at DDOHR Z11     

(MgC)n (n=1~10)团簇结构稳定性及金属性第一性原理研究

采用基于密度泛函理论的第一性原理对同比例二元团簇(MgC)n (n=1~10)的结构稳定性和金属性进行比较系统的研究。结果显示：当原子总数N=2, 4, 6, 8, 12时,二元团簇的结构为平面形状,其余为对称性较低的三维构型,且Mg3C3为幻数结构。另外,在二元团簇的形成过程中,镁、碳原子并不是均匀分布于空间中,而是首先形成各自倾向的构型,再结合成团簇。同时,(MgC)n (n=1~10)二元团簇的基态结构在原子总数N=10时发生突变,由平面形向三维结构转变。此外,最高占据轨道和最低未占据轨道间的能隙值除N=8外呈逐渐降低的趋势,说明在同比例二元团簇随尺寸增加的演化中出现半导体性与金属性间的相互转变行为。     

(MgC)n (n=1~10)团簇结构稳定性及金属性第一性原理研究

采用基于密度泛函理论的第一性原理对同比例二元团簇(MgC)n (n=1~10)的结构稳定性和金属性进行比较系统的研究。结果显示：当原子总数N=2, 4, 6, 8, 12时,二元团簇的结构为平面形状,其余为对称性较低的三维构型,且Mg3C3为幻数结构。另外,在二元团簇的形成过程中,镁、碳原子并不是均匀分布于空间中,而是首先形成各自倾向的构型,再结合成团簇。同时,(MgC)n (n=1~10)二元团簇的基态结构在原子总数N=10时发生突变,由平面形向三维结构转变。此外,最高占据轨道和最低未占据轨道间的能隙值除N=8外呈逐渐降低的趋势,说明在同比例二元团簇随尺寸增加的演化中出现半导体性与金属性间的相互转变行为。     

Evolution of the vortex state in the BCS-BEC crossover of a quasi two-dimensional superfluid Fermi gas

We use the path-integral formalism to investigate the vortex properties of a quasi-two dimensional(2D) Fermi superfluid system trapped in an optical lattice potential.Within the framework of mean-field theory,the cooper pair density,the atom number density,and the vortex core size are calculated from weakly interacting BCS regime to strongly coupled while weakly interacting BEC regime.Numerical results show that the atoms gradually penetrate into the vortex core as the system evolves from BEC to BCS regime.Meanwhile,the presence of the optical lattice allows us to analyze the vortex properties in the crossover from three-dimensional(3D) to 2D case.Furthermore,using a simple re-normalization procedure,we find that the two-body bound state exists only when the interaction is stronger than a critical one denoted by G_c which is obtained as a function of the lattice potential's parameter.Finally,we investigate the vortex core size and find that it grows with increasing interaction strength.In particular,by analyzing the behavior of the vortex core size in both BCS and BEC regimes,we find that the vortex core size behaves quite differently for positive and negative chemical potentials.     

3D atom probe study of gas adsorption and reaction on alloy catalyst surfaces I: Instrumentation

A versatile gas reaction cell has been developed for a 3D atom probe system to provide a new method for studying the reaction mechanisms of heterogeneous catalysis. We describe the features and advantages of this new system. The reaction cell enables exposure of metal specimens in high temperature (?873 K) and high pressure (?1 bar) environments to a wide range of single gases or gas mixtures. Following treatment, specimens are transferred into the UHV analysis chamber of the 3D atom probe, which provides atomic-scale positional and chemical information for adsorbed gas and metal atoms/oxides from selected regions of the specimen apex. Results demonstrating the effects of heating alloy catalysts in vacuo and in air are presented, which validate the instrument design, alongside a sample of data for exposing Pt and Pt-Rh alloys to NO, revealing the power of the 3D atom probe technique in this field.     

Curvature effects on magnetic susceptibility of 1D attractive two component fermions

We develop a bosonization approach for finding magnetic susceptibility of 1D attractive two component Fermi gas at the onset of magnetization taking into account the curvature effects. It is shown that the curvature of free dispersion at the Fermi points couples the spin and charge modes and leads to a linear critical behavior and finite susceptibility for a wide range of models. Possible manifestations of spin-charge coupling in cold atomic gases are also briefly discussed.