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Graphene is a two-dimensional carbon material with a honeycomb lattice and Dirac-type low-energy spectrum. In a strong magnetic field, where Coulomb interactions dominate against disorder broadening, quantum Hall ferromagnetic states…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Naokazu Shibata , Kentaro Nomura

We study a solution of interacting semiflexible polymers with curvature energy in poor-solvent conditions on the d-dimensional cubic lattice using mean-field theory and Monte Carlo computer simulations. Building upon past studies on a…

Soft Condensed Matter · Physics 2024-07-02 Davide Marcato , Achille Giacometti , Amos Maritan , Angelo Rosa

The realization of artificial gauge fields in ultracold atomic gases has opened up a path towards experimental studies of topological insulators and, as an ultimate goal, topological quantum matter in many-body systems. As an alternative to…

Strongly Correlated Electrons · Physics 2020-10-29 Leo Stenzel , Andrew L. C. Hayward , Claudius Hubig , Ulrich Schollwöck , Fabian Heidrich-Meisner

We investigate the phase diagram of spinless fermions on a square lattice with nearest-neighbor interaction, using the recently developed projective truncation approximation in Green's function equation of motion. For attractive…

Strongly Correlated Electrons · Physics 2022-02-03 Kou-Han Ma , Ning-Hua Tong

The experimental availability of ultra-high-mobility samples of graphene opens the possibility to realize and study experimentally the "hydrodynamic" regime of the electron liquid. In this regime the rate of electron-electron collisions is…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Alessandro Principi , Giovanni Vignale

By means of numerical simulations, we explore possible effects of a special interparticle interaction potential which is a function of external and internal conditions of graphene-like systems. In addition to the electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2016-11-21 José Abdalla Helayël-Neto , Elena Konstantinova , Ricardo Spagnuolo Martins

The effect of electron-electron interaction on the low-temperature conductivity of graphene is investigated experimentally. Unlike in other two-dimensional systems, the electron-electron interaction correction in graphene is sensitive to…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 A. A. Kozikov , A. K. Savchenko , B. N. Narozhny , A. V. Shytov

The low-energy theory of interacting electrons on graphene's two-dimensional honeycomb lattice is derived and discussed. In particular, the Hubbard model in the large-N limit is shown to have a semi-metal - antiferromagnetic insulator…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Igor F. Herbut

We show how strongly interacting two-dimensional Dirac fermions can be realized with ultracold atoms in a two-dimensional optical square lattice with an experimentally realistic, inherent gauge field, which breaks time-reversal and…

Quantum Gases · Physics 2015-05-13 Lih-King Lim , Achilleas Lazarides , Andreas Hemmerich , C. Morais Smith

We present a massively parallel quantum Monte Carlo based implementation of real-space dynamical mean-field theory for general inhomogeneous correlated fermionic lattice systems. As a first application, we study magnetic order in a binary…

Quantum Gases · Physics 2010-12-16 N. Blümer , E. V. Gorelik

We introduce a different perspective describing electron-phonon interactions in graphene based on curved space hydrodynamics. Interactions of phonons with charge carriers increase the electrical resistivity of the material. Our approach…

Materials Science · Physics 2017-02-15 Ilario Giordanelli , Miller Mendoza , Hans Herrmann

Multi-layer graphene on the carbon face of silicon carbide is an intriguing electronic system which typically consists of a stack of ten or more layers. Rotational stacking faults in this system dramatically reduce inter-layer coherence. In…

Mesoscale and Nanoscale Physics · Physics 2010-09-01 Rosario E. V. Profumo , Marco Polini , Reza Asgari , Rosario Fazio , A. H. MacDonald

The presence of attractive interaction between fermions can lead to pairing and superfluidity in an optical lattice. The temperature needed to observe superfluidity is about a tenth of the tunneling energy in the optical lattice, and…

Quantum Gases · Physics 2011-04-27 Viveka Nand Singh , Sanjoy Datta , Pinaki Majumdar

Motivated by potential realizations in cold-atom or cold-molecule systems, we have performed quantum Monte Carlo simulations of two-component gases of fermions in two dimensions with hard-core interactions. We have determined the gross…

Quantum Gases · Physics 2011-05-19 N. D. Drummond , N. R. Cooper , R. J. Needs , G. V. Shlyapnikov

The interaction between graphene and hexagonal boron nitride (hBN) plays a pivotal role in determining the electronic and structural properties of graphene-based devices. In this work, we employ quantum Monte Carlo (QMC) to study the…

Quantum lattice systems are rigorously studied at low temperatures. When the Hamiltonian of the system consists of a potential (diagonal) term and a - small - off-diagonal matrix containing typically quantum effects, such as a hopping…

Statistical Mechanics · Physics 2009-10-31 R. Kotecky , D. Ueltschi

We report results of large-scale quantum Monte Carlo (QMC) simulations of graphene. Using cutting-edge algorithmic improvements, we are able to consider spatial volumes, corresponding to 20808 electrons, that allow us to access energy…

Strongly Correlated Electrons · Physics 2023-11-21 Maksim Ulybyshev , Savvas Zafeiropoulos , Christopher Winterowd , Fakher Assaad

We construct an effective low energy Hamiltonian which describes fermions dwelling on a deformed honeycomb lattice with dislocations and disclinations, and with an arbitrary hopping parameters of the corresponding tight binding model. It…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 Ara Sedrakyan , Andreas Sinner , Klaus Ziegler

We report on the direct numerical measurements of the conductivity of graphene monolayer. Our numerical simulations are performed in the effective lattice field theory with noncompact 3 + 1-dimensional Abelian lattice gauge fields and 2 +…

Strongly Correlated Electrons · Physics 2013-01-23 P. V. Buividovich , E. V. Luschevskaya , O. V. Pavlovsky , M. I. Polikarpov , M. V. Ulybyshev

Using Monte Carlo Simulation and fundamental measure theory we study the phase diagram of a two-dimensional lattice gas model with a nearest neighbor hard core exclusion and a next-to-nearest neighbors finite repulsive interaction. The…

Soft Condensed Matter · Physics 2012-02-02 Noe G. Almarza , Jose A. Capitan , Jose A. Cuesta , Enrique Lomba