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We review the leading momentum, frequency and temperature dependences of the single particle self-energy and the corresponding term in the entropy of a two dimensional Fermi liquid (FL) with a free particle spectrum. We calculate the…

Strongly Correlated Electrons · Physics 2009-10-30 Jungsoo Kim , D. Coffey

An approximation for the exchange-correlation energy of reduced-density-matrix-functional theory was recently derived from a study of the homogeneous electron gas (N.N. Lathiotakis, N. Helbig, E.K.U. Gross, Phys. Rev. B 75, 195120 (2007)).…

Strongly Correlated Electrons · Physics 2009-11-13 N. N. Lathiotakis , N. Helbig , A. Zacarias , E. K. U. Gross

We present a field-theoretic renormalization group analysis of Abanov and Chubukov's model of the spin density wave transition in two dimensional metals. We identify the independent field scale and coupling constant renormalizations in a…

Strongly Correlated Electrons · Physics 2010-08-24 Max A. Metlitski , Subir Sachdev

We study the renormalization effects on electric dipole moments in the models with new electroweakly interacting massive fermions. The electric dipole moments are generated by the effective operators which arise from integrating out heavy…

High Energy Physics - Phenomenology · Physics 2019-05-24 Wataru Kuramoto , Takumi Kuwahara , Ryo Nagai

It is shown {\it in detail how} the ground-state self-energy $\Sigma(k,\omega)$ of the spin-unpolarized uniform electron gas (with the density parameter $r_s$) in its high-density limit $r_s\to 0 $ determines: the momentum distribution…

Strongly Correlated Electrons · Physics 2015-05-13 Paul Ziesche

We describe both the Fermi velocity and the mass renormalization due to the two-dimensional Coulomb interaction in the presence of a thermal bath. To achieve this, we consider an anisotropic version of pseudo quantum electrodynamics (PQED),…

Mesoscale and Nanoscale Physics · Physics 2023-09-19 Nilberto Bezerra , Van Sérgio Alves , Leandro O. Nascimento , Luis Fernandez

We proposed a formally exact, probabilistic method to assess the validity of the Thomas-Fermi potential for three-dimensional condensed matter systems where electron dynamics is constrained to the Fermi surface. Our method, which relies on…

Materials Science · Physics 2024-06-25 Gionni Marchetti

Nonequilibrium dynamics of an N-fold spin-degenerate ultracold Fermi gas is described in terms of beyond-mean-field Kadanoff-Baym equations for correlation functions. Using a nonperturbative expansion in powers of 1/N, the equations are…

Quantum Gases · Physics 2011-03-01 Matthias Kronenwett , Thomas Gasenzer

We have measured the effective mass, m, and Lande g-factor in very dilute two-dimensional electron systems in silicon. Two independent methods have been used: (i) measurements of the magnetic field required to fully polarize the electrons'…

Strongly Correlated Electrons · Physics 2007-05-23 A. A. Shashkin , S. V. Kravchenko , V. T. Dolgopolov , T. M. Klapwijk

The aim of this work is to study the electron transport in graphene with impurities by introducing a generalization of linear response theory for linear dispersion relations and spinor wave functions. Current response and density response…

Mesoscale and Nanoscale Physics · Physics 2014-07-28 Juan Sebastian Ardenghi , Pablo Bechthold , Paula Jasen , Estela Gonzalez , Alfredo Juan

For the linear sigma model with quarks we derive renormalization group flow equations for finite temperature and finite baryon density using the heat kernel cutoff. At zero temperature we evolve the effective potential to the Fermi momentum…

Nuclear Theory · Physics 2009-10-31 J. Meyer , G. Papp , H. -J. Pirner , T. Kunihiro

We investigate the superfluid transition of the Unitary Fermi Gas by means of the Functional Renormalization Group, aiming at quantitative precision. We extract $T_{\rm c}/\mu=0.38(2)$ and $\Delta/\mu=1.04(15)$ for the critical temperature…

Quantum Gases · Physics 2014-06-09 Igor Boettcher , Jan M. Pawlowski , Christof Wetterich

Ultrafast optical excitation of metals induces a non-equilibrium energy distribution in the electronic system, with a characteristic step-structure determined by Pauli blocking. On a femtosecond timescale, electron-electron scattering…

Spontaneous magnetization of a two-dimensional electron gas (2DEG) is discussed. It takes place for sufficiently high electron density (i.e. for a quantum fluid state) with $r_s<10$ which is quite beyond the condition of Wigner…

Strongly Correlated Electrons · Physics 2007-05-23 V. Vyurkov , A. Vetrov

By comparing two expressions for the polarization function given in terms of two different local-field factors, G_+(q,iw) and G_s(q,iw), we have derived the kinetic-energy-fluctuation (or sixth-power) sum rule for the momentum distribution…

Strongly Correlated Electrons · Physics 2016-12-07 Yasutami Takada

We develop the exact renormalization group approach as a way to evaluate the effective speed of propagation of a scalar wave in a medium with random inhomogeneities. We use the Martin-Siggia-Rose formalism to translate the problem into a…

Disordered Systems and Neural Networks · Physics 2017-08-02 Federico Lamagna , Esteban Calzetta

We present results on the effect of short-range, attractive interactions on the properties of balanced 2D Fermi gases in the non-superfluid (normal) phase. Our approach combines the renormalization group (RG) with perturbation theory,…

Quantum Gases · Physics 2020-04-08 S. Laalitya Uppalapati , Daniel E. Sheehy

The ground-state properties of two-component repulsive Fermi gases in two dimensions are investigated by means of fixed-node diffusion Monte Carlo simulations. The energy per particle is determined as a function of the intercomponent…

Quantum Gases · Physics 2021-06-23 S. Pilati , G. Orso , G. Bertaina

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

In this paper we continued our research of the uniform electron gas, using the single--momentum path integral Monte Carlo method, and studied the momentum distribution functions and the pair correlation functions in the warm dense matter…

Statistical Mechanics · Physics 2022-03-24 A. S. Larkin , V. S. Filinov , P. R. Levashov