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The quasiparticle effective mass is a key quantity in the physics of electron gases, describing the renormalization of the electron mass due to electron-electron interactions. Two-dimensional electron gases are of fundamental importance in…

Quantum Gases · Physics 2013-02-01 N. D. Drummond , R. J. Needs

According to Landau's Fermi liquid theory, the main properties of the quasiparticle excitations of an electron gas are embodied in the effective mass $m^*$, which determines the energy of a single quasiparticle, and the Landau interaction…

Strongly Correlated Electrons · Physics 2021-08-25 Sam Azadi , N. D. Drummond , W. M. C. Foulkes

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

The quasiparticle effective mass $m^*$ of the three-dimensional uniform electron gas (UEG) is a fundamental Fermi-liquid parameter whose value and density dependence have remained controversial for decades. Using renormalized perturbation…

Strongly Correlated Electrons · Physics 2026-05-05 Pengcheng Hou , Daniel Cerkoney , Zhiyi Li , Tao Wang , Xiansheng Cai , Lei Wang , Gabriel Kotliar , Youjin Deng , Kun Chen

Recent experiments on two-dimensional (2D) electron systems have found a sharp increase in the effective mass of electrons with decreasing electron density. In an effort to understand this behavior we employ the many-body theory to…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 R. Asgari , B. Davoudi , B. Tanatar

Motivated by a number of recent experimental studies we have revisited the problem of the microscopic calculation of the quasiparticle self-energy and many-body effective mass enhancement in a two-dimensional electron liquid. Our systematic…

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

Motivated by a large number of recent magnetotransport studies we have revisited the problem of the microscopic calculation of the quasiparticle effective mass in a paramagnetic two-dimensional (2D) electron liquid (EL). Our systematic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. Asgari , B. Davoudi , M. Polini , M. P. Tosi , G. F. Giuliani , G. Vignale

We have used the diffusion quantum Monte Carlo method to calculate the energy band of the two-dimensional homogeneous electron gas (HEG), and hence we have obtained the quasiparticle effective mass and the occupied bandwidth. We find that…

Mesoscale and Nanoscale Physics · Physics 2010-03-02 N. D. Drummond , R. J. Needs

We present numerical calculations of the electron effective mass in an interacting, ferromagnetic, two-dimensional electron system. We consider quantum interaction effects associated with the charge-density fluctuation induced many-body…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Reza Asgari , T. Gokmen , B. Tanatar , Medini Padmanabhan , M. Shayegan

The very-low temperature thermal effective mass m* of paramagnetic and ferromagnetic electrons in a uniform electron fluid in two dimensions is studied. Analytical and numerical evaluations are used to meaningfully define an m*, even in the…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 M. W. C. Dharma-wardana

We discuss the potential advantages of calculating the effective mass of quasiparticles in the interacting electron liquid from the low-temperature free energy vis-a-vis the conventional approach, in which the effective mass is obtained…

Strongly Correlated Electrons · Physics 2017-07-26 F. G. Eich , Markus Holzmann , G. Vignale

A theory is developed for the evolution of the non-equilibrium distribution of quasiparticles when the scattering rate decreases due to particle collisions. We propose a "modified one-collision approximation" which is most effective for…

Disordered Systems and Neural Networks · Physics 2009-11-10 R. N. Gurzhi , A. I. Kopeliovich , A. N. Kalinenko , A. V. Yanovsky , E. N. Bogachek , Uzi Landman , H. Buhmann , L. W. Molenkamp

The real-space variation quantum Monte Carlo (VMC) and diffusion quantum Monte Carlo (DMC) are used to calculate the quasiparticle energy bands and the quasiparticle effective mass of the paramagnetic and ferromagnetic two-dimensional…

Strongly Correlated Electrons · Physics 2025-11-07 S. Azadi , N. D. Drummond , A. Principi , R. V. Belosludov , M. S. Bahramy

Within the infinite series of ring (or bubble) diagram approximation for the electronic self-energy as appropriate for the long-range Coulomb interaction, we calculate the density-dependent T=0 Fermi liquid quasiparticle effective mass…

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

The damping of single-particle degrees of freedom in strongly correlated two-dimensional Fermi systems is analyzed. Suppression of the scattering amplitude due to the damping effects is shown to play a key role in preserving the validity of…

Strongly Correlated Electrons · Physics 2009-11-11 V. A. Khodel , M. V. Zverev , J. W. Clark

We propose a model intended to qualitatively capture the electron-electron interaction physics of two-dimensional electron gases formed near transition-metal oxide heterojunctions containing $t_{2g}$ electrons with a density much smaller…

Strongly Correlated Electrons · Physics 2016-01-27 John R. Tolsma , Alessandro Principi , Reza Asgari , Marco Polini , Allan H. MacDonald

In this work, we derive a three-dimensional effective mass that is suitable for treatment of electrons in anisotropic semiconductors. We show that it is possible to define a scalar anisotropic three-dimensional mass that reduces to a…

Other Condensed Matter · Physics 2012-08-15 Viktor Ariel

We provide a parametrization of a new phenomenological scaling function obtained from a chi-square fit to a selected set of (e,e') cross section data expanding a band centered around the quasielastic peak. We start from a re-analysis of…

Nuclear Theory · Physics 2017-04-19 J. E. Amaro , E. Ruiz Arriola , I. Ruiz Simo

Using the dynamical mean-field theory, we calculate the effective electron mass in the Hubbard model on a semi-infinite lattice. At the surface the effective mass is strongly enhanced. Near half-filling this gives rise to a…

Strongly Correlated Electrons · Physics 2009-10-31 M. Potthoff , W. Nolting

We study the limiting behavior of a singularly perturbed Schr\"odinger-Poisson system describing a 3-dimensional electron gas strongly confined in the vicinity of a plane $(x,y)$ and subject to a strong uniform magnetic field in the plane…

Analysis of PDEs · Mathematics 2010-07-27 Fanny Delebecque-Fendt , Florian Mehats
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