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There is controversy as to whether a one-dimensional (1D) electron gas can spin polarise in the absence of a magnetic field. Together with a simple model, we present conductance measurements on ultra low-disorder quantum wires supportive of…

Strongly Correlated Electrons · Physics 2007-05-23 D. J. Reilly , T. M. Buehler , J. L. O'Brien , A. R. Hamilton , A. S. Dzurak , R. G. Clark , B. E. Kane , L. N. Pfeiffer , K. W. West

We give the free energy of equilibrium relativistic matter subject to external gravitational and electromagnetic fields, to one-derivative order in the gradients of the external fields. The free energy allows for a straightforward…

High Energy Physics - Theory · Physics 2016-07-12 Pavel Kovtun

We present a novel combination of quantum Monte Carlo methods and a finite size extrapolation framework with which we calculate the thermodynamic limit of the exact correlation energy of the polarized electron gas at high densities to meV…

Strongly Correlated Electrons · Physics 2018-10-17 Michele Ruggeri , Pablo López Ríos , Ali Alavi

We study the energy per particle of a one-dimensional ferromagnetic/anti-ferromagnetic frustrated spin chain with nearest and next-to-nearest interactions close to the helimagnet/ferromagnet transition point as the number of particles…

Mathematical Physics · Physics 2014-01-28 Marco Cicalese , Francesco Solombrino

We present an analytic theory of the spin-resolved pair distribution functions $g_{\sigma\sigma'}(r)$ and the ground-state energy of an electron gas with an arbitrary degree of spin polarization. We first use the Hohenberg-Kohn variational…

Strongly Correlated Electrons · Physics 2009-11-10 B. Davoudi , R. Asgari , M. Polini , M. P. Tosi

The emission of correlated electrons from an itinerant ferromagnet following the impact of a polarized electron beam is analyzed in terms of irreducible tensorial parameters that can be measured. Under favorable conditions, specified in…

Strongly Correlated Electrons · Physics 2009-10-31 Jamal Berakdar

Electronic states with fractional spins arise in systems with large static correlation (strongly correlated systems). Such fractional-spin states are shown to be ensembles of degenerate ground states with normal spins. It is proven here…

Other Condensed Matter · Physics 2009-11-13 Aron J. Cohen , Paula Mori-Sánchez , Weitao Yang

In the present work ferromagnetic ordering in the Hubbard model generalized by taking into account the inter-atomic exchange interaction and correlated hopping in partially filled narrow band is considered. In the case of weak…

Strongly Correlated Electrons · Physics 2007-05-23 L. Didukh , O. Kramar , Yu. Skorenkyy

We summarize our recent results on the ground state energy of multi-polaron systems. In particular, we discuss stability and existence of the thermodynamic limit, and we discuss the absence of binding in the case of large Coulomb repulsion…

Mathematical Physics · Physics 2012-09-18 Rupert L. Frank , Elliott H. Lieb , Robert Seiringer , Lawrence E. Thomas

We prove that for a hard core interaction the ground state spin polarization in the low Zeeman energy limit is given by $P=2/\nu-5$ for filling fractions in the range $ 1/3 \leq\nu\leq 2/5 $. The same result holds for a Coulomb potential…

Condensed Matter · Physics 2009-10-30 Jacek Dziarmaga , Meik Hellmund

For a fermion gas with equally spaced energy levels, the density and the pair correlation function are obtained. The derivation is based on the path integral approach for identical particles and the inversion of the generating functions for…

Statistical Mechanics · Physics 2009-10-31 F. Brosens , J. T. Devreese , L. F. Lemmens

We elucidate the itinerant ferromagnetism of a dipolar Fermi gas with a Raman-induced spin-orbit coupling by investigating the exotic phase diagrams at zero and finite temperature. It is revealed that the dipolar interaction along with…

Quantum Gases · Physics 2022-06-15 Xue-Jing Feng , Xing-Dong Zhao , Wu-Ming Liu

With the eigenfunctional theory, we study a general interacting electron system, and give a rigorous expression of its ground state energy which is composed of two parts, one part is contributed by the non-interacting electrons, and another…

Materials Science · Physics 2007-12-07 Yu-Liang Liu

The purpose of this paper is to derive sharp asymptotics of the ground state energy for the heavy atoms and molecules in the relativistic settings, and, in particular, to derive relativistic Scott correction term and also Dirac, Schwinger…

Spectral Theory · Mathematics 2017-08-24 Victor Ivrii

The polaron has been of interest in condensed matter theory and field theory for about half a century, especially the limit of large coupling constant. It was not until 1983, however, that a proof of the asymptotic formula for the ground…

Condensed Matter · Physics 2009-10-28 E. H. Lieb , L. E. Thomas

In this paper we analyze how radiation effects influence the correlation functions, the excess energy, and in turn the electron correlation energy of the quantized electron gas at temperature $T=0$. To that aim we resort to a statistical…

Statistical Mechanics · Physics 2020-08-26 Johan S. Høye , Enrique Lomba

Based on our derivation of finite temperature reduced density matrix functional theory and the discussion of the performance of its first-order functional this work presents several different correlation-energy functionals and applies them…

Other Condensed Matter · Physics 2012-08-24 Tim Baldsiefen , E. K. U. Gross

We present a model for quark matter with a density dependent quark-quark (confining) potential, which allows to describe a deconfinement phase transition as the system evolves from a low density assembly of bound structures to a high…

High Energy Physics - Phenomenology · Physics 2016-09-01 W. M. Alberico , M. Nardi , S. Quattrocolo

We study a class of exactly solvable models for strongly correlated electrons, defined on a set of N cells, and with infinite on-site repulsion on part of the sites of each cell. For 2N or more electrons the exact ground state is known. We…

Condensed Matter · Physics 2009-10-28 Andreas Giesekus , Uwe Brandt

We study transverse spin dynamics on a microscopic level by measuring energy-resolved spin correlations in weakly interacting Fermi gases (WIFGs). The trapped cloud behaves as a many-body spin-lattice in energy space with effective…

Quantum Gases · Physics 2024-02-26 J. Huang , J. E. Thomas