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Related papers: Magnetic Thomas-Fermi theory for 2D abelian anyons

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We study the principal aspects of the interaction between acoustic phonons and two-dimensional electrons in quantizing magnetic fields corresponding to even denominator fractions. Using the composite fermion approach we derive the vertex of…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 D. V. Khveshchenko , M. Reizer

Originally proposed by Read [1] and Jain [2], the so-called "composite-fermion" is a phenomenological attachment of two infinitely thin local flux quanta seen as nonlocal vortices to two-dimensional (2D) electrons embedded in a strong…

Mesoscale and Nanoscale Physics · Physics 2014-04-24 Gilbert Reinisch , Vidar Gudmundsson , Andrei Manolescu

This work is a continuation of our recent study of non-relativistic charged particles, confined to a sphere enclosing a magnetic dipole at its center. In this sequel, we extend our computations in two significant ways. The first is to a…

High Energy Physics - Theory · Physics 2021-10-27 Jeff Murugan , Jonathan P. Shock , Ruach Pillay Slayen

Using Thomas-Fermi (TF) and Thomas-Fermi-Dirac (TFD) models, we have investigated the properties of electron gas inside two-dimensional (2D) Wigner-Seitz (WS) cells in presence of a strong orthogonal quantizing magnetic field. The…

Solar and Stellar Astrophysics · Physics 2017-04-05 Sanchari De , Somenath Chakrabarty

We present a fermion model that is, as we suggest, a natural 2D analogue of the Luttinger model. We derive this model as a partial continuum limit of a 2D spinless lattice fermion system with local interactions and away from half filling.…

Mathematical Physics · Physics 2010-04-15 Edwin Langmann

The Berry curvature is a geometrical property of an energy band which can act as a momentum space magnetic field in the effective Hamiltonian of a wide range of systems. We apply the effective Hamiltonian to a spin-1/2 particle in two…

Quantum Gases · Physics 2015-04-02 Hannah M. Price , Tomoki Ozawa , Nigel R. Cooper , Iacopo Carusotto

By the spin-fermion formula, the Hubbard model on the honeycomb lattice is represented by a U(2) gauge theory in the mean field method, non-Abelian vortex solutions are constructed based on this theory. The quantization condition shows that…

Superconductivity · Physics 2015-06-04 Qiu-Hong Huo , Yunguo Jiang , Ru-Zhi Wang , Hui Yan

We examine the response of a soft ferromagnetic film to an in-plane applied magnetic field. Our theory, based on asymptotic analysis of the micromagnetic energy in the thin-film limit, proceeds in two steps: first we determine the magnetic…

Materials Science · Physics 2007-05-23 Antonio DeSimone , Robert V. Kohn , Stefan Mueller , Felix Otto , Rudolf Schaefer

We theoretically investigate equal-mass spin-balanced two-component Fermi gases in which pairs of atoms with opposite spins interact via a short-range isotropic model potential. We probe the distinction between two-dimensional and…

Quantum Gases · Physics 2025-06-27 Emma K. Laird , Brendan C. Mulkerin , Jia Wang , Matthew J. Davis

The repulsive Fermi Hubbard model on the square lattice has a rich phase diagram near half-filling (corresponding to the particle density per lattice site $n=1$): for $n=1$ the ground state is an antiferromagnetic insulator, at $0.6 < n…

Strongly Correlated Electrons · Physics 2017-09-06 Fedor Šimkovic IV. , Youjin Deng , N. V. Prokof'ev , B. V. Svistunov , I. Tupitsyn , Evgeny Kozik

Using ab initio lattice methods, we calculate the finite temperature thermodynamics of homogeneous two-dimensional spin-1/2 fermions with attractive short-range interactions. We present results for the density, pressure, compressibility,…

Quantum Gases · Physics 2015-09-16 E. R. Anderson , J. E. Drut

The quasistatic approximation and equation-of-motion decoupling for the electron Green's functions are applied to trace the effect of electronic dispersion and electron correlations on the ferromagnetism of two-dimensional…

Strongly Correlated Electrons · Physics 2015-05-28 P. A. Igoshev , A. V. Zarubin , A. A. Katanin , V. Yu. Irkhin

We present an electrical transport study of the 2-dimensional (2D) organic conductor tau-(P-(S,S)-DMEDT-TTF)_2(AuBr)_2(AuBr_2)_y (y = 0.75) at low temperatures and high magnetic fields. The inter-plane resistivity rho_zz increases with…

Strongly Correlated Electrons · Physics 2009-10-31 K. Storr , L. Balicas , J. S. Brooks , D. Graf , G. C. Papavassiliou

Properties of strongly correlated two-dimensional (2D) electron systems in solids are studied on the assumption that these systems undergo a phase transition, called fermion condensation, whose characteristic feature is flattening of the…

Strongly Correlated Electrons · Physics 2009-11-07 V. A. Khodel , M. V. Zverev

We showcase the advantages of orbital-free density-potential functional theory (DPFT), a more flexible variant of Hohenberg-Kohn density functional theory. DPFT resolves the usual trouble with the gradient-expanded kinetic energy functional…

Quantum Gases · Physics 2021-06-16 Martin-Isbjörn Trappe , Jun Hao Hue , Berthold-Georg Englert

We develop an approach to describe antiferromagnetic magnons on a bipartite lattice supporting the N\'{e}el state using fractionalized degrees of freedom typically inherent to quantum spin liquids. In particular we consider a long-range…

Strongly Correlated Electrons · Physics 2018-08-08 Rui Wang , Baigeng Wang , T. A. Sedrakyan

We present a constructive solution to the N-representability problem---a full characterization of the conditions for constraining the two-electron reduced density matrix (2-RDM) to represent an N-electron density matrix. Previously known…

Quantum Physics · Physics 2012-07-04 David A. Mazziotti

Motivated by recent experimental results reporting anomalous drag resistance behavior in dilute bilayer two-dimensional (2D) hole systems in the presence of a magnetic field parallel to the 2D plane, we have carried out a many-body Fermi…

Strongly Correlated Electrons · Physics 2009-11-10 S. Das Sarma , E. H. Hwang

We consider a system of fermions with local interactions on a lattice (Hubbard model) and apply a novel extension of the Laplace's method (saddle-point approximation) for evaluating the corresponding partition function. There, we introduce…

Strongly Correlated Electrons · Physics 2022-05-05 Dmytro Makogon , Cristiane Morais Smith

In this article we consider a large system of fermions in a combined mean-field and semiclassical limit, in three dimensions. We investigate the convergence of the Wigner function of the ground state, towards the classical Thomas-Fermi…

Mathematical Physics · Physics 2025-06-02 Esteban Cárdenas