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Theoretical progress in graphene physics has largely relied on the application of a simple nearest-neighbor tight-binding model capable of predicting many of the electronic properties of this material. However, important features that…

Mesoscale and Nanoscale Physics · Physics 2019-04-03 Z. M. Abd El-Fattah , M. A. Kher-Elden , I. Piquero-Zulaica , F. J. Garcia de Abajo , J. E. Ortega

We introduce a generic and accessible implementation of an exact diagonalization method for studying few-fermion models. Our aim is to provide a testbed for the newcomers to the field as well as a stepping stone for trying out novel…

Quantum Gases · Physics 2023-05-01 Lukas Rammelmüller , David Huber , Artem G. Volosniev

Long-range interactions in finite density QCD necessitate a non-perturbative approach in order to reliably map out the key features and spectrum of the QCD phase diagram. However, the complex nature of the fermion determinant in this sector…

High Energy Physics - Lattice · Physics 2008-11-26 A. Dougall

Using effective-lagrangian techniques we perform a systematic survey of the lowest-dimension effective interactions through which heavy physics might manifest itself in present experiments. We do not restrict ourselves to special classes of…

High Energy Physics - Phenomenology · Physics 2009-10-22 C. P. Burgess , S. Godfrey , H. König , D. London , I. Maksymyk

We propose a refined scheme of deriving an effective low-energy Hamiltonian for materials with strong electronic Coulomb correlations beyond density functional theory (DFT). By tracing out the electronic states away from the target degrees…

Strongly Correlated Electrons · Physics 2017-08-09 Motoaki Hirayama , Takashi Miyake , Masatoshi Imada , Silke Biermann

Effective field theories encode the predictions of a quantum field theory at low energy. The effective theory has a fairly low ultraviolet cutoff. As a result, loop corrections are small, at least if the effective action contains a term…

High Energy Physics - Lattice · Physics 2015-06-25 G. Mack , T. Kalkreuter , G. Palma , M. Speh

A density-functional approach on the hexagonal graphene lattice is developed using an exact numerical solution to the Hubbard model as the reference system. Both nearest-neighbour and up to third nearest-neighbour hoppings are considered…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 M. Ijäs , A. Harju

One of the many remarkable properties of graphene is that in the low energy limit the dynamics of its electrons can be effectively described by the massless Dirac equation. This has prompted investigations of graphene based on the lattice…

High Energy Physics - Lattice · Physics 2012-04-25 Richard Brower , Claudio Rebbi , David Schaich

The magnetic properties of graphene on finite geometries are studied using a self-consistent mean-field theory of the Hubbard model. This approach is known to predict ferromagnetic edge states close to the zig-zag edges in single-layer…

Strongly Correlated Electrons · Physics 2020-03-04 Hélène Feldner , Zi Yang Meng , Andreas Honecker , Daniel Cabra , Stefan Wessel , Fakher F. Assaad

Based on a detailed symmetry analysis, we state the general rules to build up the effective low energy field theory describing a system of electrons weakly interacting with the lattice degrees of freedom. The basic elements in our…

Strongly Correlated Electrons · Physics 2016-10-19 D. C. Cabra , N. E. Grandi , G. A. Silva , M. B. Sturla

Motivated by possible applications to the antiferromagnetic precursor of the high-temperature superconductor Na$_x$CoO$_2\cdot$yH$_2$O, we use a systematic low-energy effective field theory for magnons and holes to study different phases of…

Strongly Correlated Electrons · Physics 2015-05-13 F. -J. Jiang , F. Kämpfer , C. P. Hofmann , U. -J. Wiese

Electronic states at the ends of a narrow armchair nanoribbon give rise to a pair of non-locally entangled spins. We propose two experiments to probe these magnetic states, based on magnetometry and tunneling spectroscopy, in which…

Mesoscale and Nanoscale Physics · Physics 2013-08-23 Michael Golor , Cornelie Koop , Thomas C. Lang , Stefan Wessel , Manuel J. Schmidt

We investigate the low-lying excitation spectrum and ground-state properties of narrow graphene nanoribbons with zigzag edge configurations. Nanoribbons of comparable widths have been synthesized very recently [P. Ruffieux, \emph{et al.}…

Strongly Correlated Electrons · Physics 2016-10-21 I. Hagymasi , O. Legeza

The tunable magnetism at graphene edges with lengths of up to 48 unit cells is analyzed by an exact diagonalization technique. For this we use a generalized interacting one-dimensional model which can be tuned continuously from a limit…

Strongly Correlated Electrons · Physics 2011-05-26 David J. Luitz , Fakher F. Assaad , Manuel J. Schmidt

It is shown that apart from well-known factors, like temperature, substrate, and edge reconstruction effects, also the presence of external contacts is destructive for the formation of magnetic moments at the edges of graphene nanoribbons.…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 S. Krompiewski

An effective field theory for clean electron systems is developed in analogy to the generalized nonlinear sigma-model for disordered interacting electrons. The physical goal is to separate the soft or massless electronic degrees of freedom…

Strongly Correlated Electrons · Physics 2013-10-01 D. Belitz , T. R. Kirkpatrick

We discuss physical properties of strongly correlated electron states for a linear chain obtained with the help of the recently proposed new method combining the exact diagonalization in the Fock space with an ab initio readjustment of the…

Strongly Correlated Electrons · Physics 2007-05-23 Adam Rycerz , Jozef Spalek

The present study explores the edge states in a finite-width graphene ribbon and a semi-infinite geometry subject to a perpendicular magnetic field and an in-plane electric field, applied perpendicular to a zigzag edge. To accomplish this,…

Mesoscale and Nanoscale Physics · Physics 2023-04-17 A. A. Herasymchuk , S. G. Sharapov , V. P. Gusynin

The two-dimensional carbon allotrope graphene has recently attracted a lot of attention from researchers in the disciplines of Lattice Field Theory, Lattice QCD and Monte Carlo calculations. This interest has been prompted by several…

High Energy Physics - Lattice · Physics 2011-11-04 Timo A. Lähde , Joaquín E. Drut

Finite-length armchair graphene nanoribbons can behave as one dimensional topological materials, that may show edge states in their zigzag-terminated edges, depending on their width and termination. We show here a full solution of…

Mesoscale and Nanoscale Physics · Physics 2023-03-15 A. García-Fuente , D. Carrascal , G. Ross , J. Ferrer