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The transition from "few to many" has recently been probed experimentally in an ultra cold harmonically confined one-dimensional lithium gas, in which a single impurity atom interacts with a background gas consisting of one, two, or more…

Quantum Gases · Physics 2015-06-19 Seyed Ebrahim Gharashi , X. Y. Yin , Yangqian Yan , D. Blume

Experiments show that at even denominator fractions (EDFs) ($\nu=1/2, 3/4, 3/2$,...) the two-dimensional electron gas in a strong magnetic field becomes compressible, has no energy gap, and demonstrates the presence of an ostensible Fermi…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 D. V. Khveshchenko

The method has been developed to calculate effects of polarization not only for a atomic core in a field of valent electron, but also polarization of atom as a whole in the electron-hole formalism. A secondary quantized density matrix for…

Quantum Physics · Physics 2007-05-23 Halina V. Grushevskaya , Leonid I. Gurskii

A highly conductive metallic gas that is quantum mechanically confined at a solid-state interface is an ideal platform to explore nontrivial electronic states that are otherwise inaccessible in bulk materials. Although two-dimensional…

Materials Science · Physics 2021-10-13 Naotaka Kasuya , Junto Tsurumi , Toshihiro Okamoto , Shun Watanabe , Jun Takeya

Based on exact limits and quantum Monte Carlo simulations, we obtain, at any density and spin polarization, an accurate estimate for the energy of a modified homogeneous electron gas where electrons repel each other only with a long-range…

Materials Science · Physics 2009-11-11 Simone Paziani , Saverio Moroni , Paola Gori-Giorgi , Giovanni B. Bachelet

Quantum states of a two-component Fermi trapped gas are described by introducing an effective trap frequency, determined via variational techniques. Closed expressions for the contribution of a contact interaction potential to the total…

Other Condensed Matter · Physics 2009-11-10 R. Jáuregui , R. Paredes , G. Toledo Sánchez

Using ultra-high quality SiGe/Si/SiGe quantum wells at millikelvin temperatures, we experimentally compare the energy-averaged effective mass, $m$, with that at the Fermi level, $m_F$, and verify that the behaviours of these measured values…

Strongly Correlated Electrons · Physics 2017-11-08 M. Yu. Melnikov , A. A. Shashkin , V. T. Dolgopolov , S. -H. Huang , C. W. Liu , S. V. Kravchenko

We determine numerically the ground state of the two-dimensional, fully polarized electron gas within the Hartree-Fock approximation without imposing any particular symmetries on the solutions. At low electronic densities, the Wigner…

Strongly Correlated Electrons · Physics 2014-03-04 B. Bernu , F. Delyon , M. Duneau , M. Holzmann

We present a microscopic, analytical theory describing a confined N-electron gas in two dimensions subject to an external magnetic field. The number of electrons N and strength of the electron-electron interaction can be arbitrarily large,…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Neil F. Johnson , Luis Quiroga

A dilute homogeneous 3D Fermi gas in the ground state is considered for the case of a repulsive pairwise interaction. The low-density (dilution) expansions for the kinetic and interaction energies of the system in question are calculated up…

Statistical Mechanics · Physics 2009-11-10 A. A. Shanenko

Self-consistent calculations of the energy-loss spectra of charged particles moving near a plane-bounded free electron gas are reported. Energy-loss probabilities are obtained, within linear-response theory, from the knowledge of the…

Materials Science · Physics 2009-11-07 A. Garcia-Lekue , J. M. Pitarke

The correlation energy of the homogeneous electron gas is evaluated by solving the Bethe-Salpeter equation (BSE) beyond the Tamm-Dancoff approximation for the electronic polarisation propagator. The BSE is expected to improve upon the…

Materials Science · Physics 2016-06-15 Emanuele Maggio , Georg Kresse

We calculate the correlation energy of a two-dimensional homogeneous electron gas using several available approximations for the exchange-correlation kernel $f_{\rm xc}(q,\omega)$ entering the linear dielectric response of the system. As in…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 R. Asgari , M. Polini , B. Davoudi , M. P. Tosi

We present calculations of the energy, pair correlation function (PCF), static structure factor (SSF), and momentum density (MD) for the one-dimensional electron gas using the quantum Monte Carlo method. We are able to resolve peaks in the…

Strongly Correlated Electrons · Physics 2011-06-28 R. M. Lee , N. D. Drummond

The ground state energy of the two--dimensional uniform electron gas has been calculated with fixed--node diffusion Monte Carlo, including backflow correlations, for a wide range of electron densities as a function of spin polarization. We…

Strongly Correlated Electrons · Physics 2009-11-07 Claudio Attaccalite , Saverio Moroni , Paola Gori-Giorgi , Giovanni B. Bachelet

We develop a low energy effective field theory of a mixture of two species of pseudospin-1/2 atoms with interspecies spin-exchange, in addition to density-density interaction. This approach is beyond the single orbital-mode approximation.…

Quantum Gases · Physics 2013-03-01 Li Ge , Yu Shi

A scanning force microscope with a base temperature below 300 mK is used for measuring the local electron density of a two-dimensional electron gas embedded in an Ga[Al]As heterostructure. At different separations between AFM tip and…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 T. Vancura , S. Kicin , T. Ihn , K. Ensslin , M. Bichler , W. Wegscheider

We present an {\it ab initio} calculation of small numbers of trapped, strongly interacting fermions using the Green's Function Monte Carlo method (GFMC). The ground state energy, density profile and pairing gap are calculated for particle…

Atomic Physics · Physics 2009-02-05 S. Y. Chang , G. F. Bertsch

In this work the multistream quasiparticle model of collective electron excitations is used to study the energy-density distribution of collective quantum excitations in an interacting electron gas with arbitrary degree of degeneracy.…

Mesoscale and Nanoscale Physics · Physics 2024-03-05 M. Akbari-Moghanjoughi

Using scanning gate microscopy (SGM), we probe the scattering between a beam of electrons and a two-dimensional electron gas (2DEG) as a function of the beam's injection energy, and distance from the injection point. At low injection…

Mesoscale and Nanoscale Physics · Physics 2010-11-02 M. P. Jura , M. Grobis , M. A. Topinka , L. N. Pfeiffer , K. W. West , D. Goldhaber-Gordon