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We show that 2D and 3D electron systems with the long-range Coulomb electron-electron interaction could develop ferromagnetic instabilities due to strong exchange effects at low densities. The critical densities in both 2D and 3D systems at…

Strongly Correlated Electrons · Physics 2007-05-23 Ying Zhang , S. Das Sarma

We consider a system of two-dimensional electrons strongly localized by disorder. Interactions create a gap in the average tunneling density of states $\nu(E)$ at energies, E, close to the Fermi level. We derive a system of self-consistent…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Ya. M. Blanter , M. E. Raikh

We calculate analytically the effective mass and the quasiparticle renormalization factor in an electron liquid with long-range Coulomb interactions between electrons in two and three dimensions in the leading order density expansion. We…

Strongly Correlated Electrons · Physics 2009-11-10 Victor Galitski , S. Das Sarma

The quantum-classical crossover from the Fermi liquid towards the Wigner solid is numerically revisited, considering small square lattice models where electrons interact via a Coulomb U/r potential. We review a series of exact numerical…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jean-Louis Pichard , Giuliano Benenti , Georgios Katomeris , Franck Selva , Xavier Waintal

The formalism based on correlated basis functions and the cluster expansion technique has been recently employed to derive an effective interaction from a realistic nuclear hamiltonian. To gauge the reliability of this scheme, we perform a…

Nuclear Theory · Physics 2015-08-17 Angela Mecca , Alessandro Lovato , Omar Benhar , Artur Polls

Fermi liquid theory has been a foundation in understanding the electronic properties of materials. For weakly interacting two-dimensional (2D) electron or hole systems, electron-electron interactions are known to introduce quantum…

Strongly Correlated Electrons · Physics 2023-06-30 Arvind Shankar Kumar , Chieh-Wen Liu , Shuhao Liu , Loren N. Pfeiffer , Kenneth W. West , Alex Levchenko , Xuan P. A. Gao

We consider a two-dimensional electron system with Coulomb interaction between particles at a finite temperature T. We show that the dynamic Kohn anomaly in the response function at 2K_F leads to a linear-in-T correction to the spin…

Strongly Correlated Electrons · Physics 2009-11-11 Victor Galitski , A. V. Chubukov , S. Das Sarma

We determine the spin susceptibility $\chi$ in the weak interaction regime of a tunable, high quality, two-dimensional electron system in a GaAs/AlGaAs heterostructure. The band structure effects, modifying mass and g-factor, are carefully…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. -W. Tan , J. Zhu , H. L. Stormer , L. N. Pfeiffer , K. W. Baldwin , K. W. West

The quasiparticle effective mass $m^\ast$ of interacting electrons is a fundamental quantity in the Fermi liquid theory. However, the precise value of the effective mass of uniform electron gas is still elusive after decades of research.…

Statistical Mechanics · Physics 2023-06-16 Hao Xie , Linfeng Zhang , Lei Wang

Using the tight-binding model with long-range Coulomb interactions between electrons, we study some of the electronic properties of graphene. The Coulomb interactions are treated with the renormalized-ring-diagram approximation. By…

Strongly Correlated Electrons · Physics 2011-11-09 Xin-Zhong Yan , C. S. Ting

We have carried out a comprehensive investigation of the quasiparticle properties of a two-dimensional electron gas, interacting via the long-range Coulomb interaction, in the presence of bare mass anisotropy (i.e. with an elliptic…

Mesoscale and Nanoscale Physics · Physics 2021-01-12 Seongjin Ahn , S. Das Sarma

Properties of the "electron gas" - in which conduction electrons interact by means of Coulomb forces but ionic potentials are neglected - change dramatically depending on the balance between kinetic energy and Coulomb repulsion. The limits…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Amit Ghosal , A. D. Guclu , C. J. Umrigar , Denis Ullmo , Harold U. Baranger

The electronic and magnetic properties of many strongly-correlated systems are controlled by a limited number of states, located near the Fermi level and well isolated from the rest of the spectrum. This opens a formal way for combining the…

Strongly Correlated Electrons · Physics 2010-07-15 I. V. Solovyev

By theoretically calculating the interacting spin susceptibility of a two-dimensional electron system in the presence of finite spin polarization, we show that the extensively employed technique of measuring the 2D spin susceptibility by…

Strongly Correlated Electrons · Physics 2007-05-23 Ying Zhang , S. Das Sarma

We present a local density approximation (LDA) for one-dimensional (1D) systems interacting via the soft-Coulomb interaction based on quantum Monte-Carlo calculations. Results for the ground-state energies and ionization potentials of…

Strongly Correlated Electrons · Physics 2015-05-27 N. Helbig , J. I. Fuks , M. Casula , M. J. Verstraete , M. A. L. Marques , I. V. Tokatly , A. Rubio

We consider a two-dimensional Coulomb gas of positive and negative pointlike unit charges interacting via a logarithmic potential. The density (rather than the charge) correlation functions are studied. In the bulk, the form-factor theory…

Statistical Mechanics · Physics 2007-05-23 L. Šamaj , B. Jancovici

The dynamical spin susceptibility is studied in the magnetically-disordered phase of heavy-Fermion systems near the antiferromagnetic quantum phase transition. In the framework of the $S=1/2$ Kondo lattice model, we introduce a perturbative…

Strongly Correlated Electrons · Physics 2009-10-31 C. Pepin , M. Lavagna

We construct a phenomenological superfluid Fermi liquid theory for a two-dimensional d-wave superconductor on a square lattice, and study the effect of quasiparticle interactions on the superfluid density. Using simple models for the…

Superconductivity · Physics 2009-11-07 Arun Paramekanti , Mohit Randeria

The electronic properties of single-layer antimony are studied by a combination of first-principles and tight-binding methods. The band structure obtained from relativistic density functional theory is used to derive an analytic…

Materials Science · Physics 2017-02-23 A. N. Rudenko , M. I. Katsnelson , R. Roldán

While the composite fermion picture is so effective as to describe the excitation spectra including the spin wave for Laughlin's quantum liquid, ``how heavy and how strongly-interacting" remains a formidable question for the composite…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Hideo Aoki