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Related papers: Pairing in graphene: A quantum Monte Carlo study

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Motivated by experiments on twisted bilayer graphene, we study the emergence of superconductivity from $\textit{weak}$ repulsive interactions in the Hubbard model on a honeycomb lattice, with both spin and orbital degeneracies, and with the…

Superconductivity · Physics 2019-01-03 Yu-Ping Lin , Rahul M. Nandkishore

By combining fermion Quantum Monte Carlo (QMC) simulations with diagrammatic theory, we have calculated the dielectric screening and the screened potential, in a quasi 2D Hubbard model for cuprate superconductors with and without 1/r…

Strongly Correlated Electrons · Physics 2007-05-23 H. -B. Schüttler , C. Gröber , H. G. Evertz , W. Hanke

We numerically study the interplay between superconductivity and disorder on the graphene honeycomb lattice with on-site Hubbard attractive interactions U using a spatially inhomogeneous self-consistent Bogoliubov-de Gennes (BdG) approach.…

Superconductivity · Physics 2014-09-30 Ionut-Dragos Potirniche , Joseph Maciejko , Rahul Nandkishore , S. L. Sondhi

Motivated by the recently experimental reported signatures of the tunable Mott insulating state and superconductivity in an ABC graphene trilayer superlattice, we investigate the charge compressibility, the spin correlation, and the…

Strongly Correlated Electrons · Physics 2021-07-09 Huijia Dai , Junchen Hou , Xiao Zhang , Ying Liang , Tianxing Ma

We consider a Kondo-like impurity interacting with fermions on a honeycomb lattice at half-filling, as in the case of graphene. We derive from the lattice model an effective one-dimensional continuum theory which has, in general, four…

Strongly Correlated Electrons · Physics 2011-08-25 Luca Dell'Anna

We study the attractive fermionic Hubbard model on a honeycomb lattice using determinantal quantum Monte Carlo simulations. By increasing the interaction strength U (relative to the hopping parameter t) at half-filling and zero temperature,…

Quantum Gases · Physics 2009-12-24 K. L. Lee , K. Bouadim , G. G. Batrouni , F. Hebert , R. T. Scalettar , C. Miniatura , B. Gremaud

We consider the 2D Hubbard model on the honeycomb lattice, as a model for a single layer graphene sheet in the presence of screened Coulomb interactions. At half filling and weak enough coupling, we compute the free energy, the ground state…

Mathematical Physics · Physics 2015-05-13 Alessandro Giuliani , Vieri Mastropietro

In this work, results are presented of Hybrid-Monte-Carlo simulations of the tight-binding Hamiltonian of graphene, coupled to an instantaneous long-range two-body potential which is modeled by a Hubbard-Stratonovich auxiliary field. We…

High Energy Physics - Lattice · Physics 2013-11-06 Dominik Smith , Lorenz von Smekal

Superconductivity in graphene-based systems has recently attracted much attention, as either intrinsic behavior or induced by proximity to a superconductor may lead to interesting topological phases and symmetries of the pairing function. A…

Superconductivity · Physics 2022-04-13 Abdulrhman M. Alsharari , Sergio E. Ulloa

We simulated the 3-band Hubbard model using the Constrained Path Monte Carlo (CPMC) method in search for a possible superconducting ground state. The CPMC is a ground state method which is free of the exponential scaling of computing time…

Superconductivity · Physics 2016-08-31 M. Guerrero , J. E. Gubernatis , Shiwei Zhang

Motivated by the surge in research activities on graphene, we investigate instabilities of electrons on the honeycomb lattice, interacting by onsite and nearest-neighbor terms, using a renormalization group scheme. Near half band-filling,…

Strongly Correlated Electrons · Physics 2009-11-13 Carsten Honerkamp

We determine the symmetry of Cooper pairs, on the basis of the perturbation theory in terms of the Coulomb interaction $U$, for the two-dimensional Hubbard model on the square lattice. The phase diagram is investigated in detail. The…

Superconductivity · Physics 2009-11-13 Takashi Yanagisawa

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

Recent experimental discovery of several families of kagome-lattice materials has boosted the interest in electronic correlations on kagome lattice. As an initial step to understand the observed complex phenomena, it is helpful to know the…

Strongly Correlated Electrons · Physics 2022-12-15 Xingchuan Zhu , Wanpeng Han , Shiping Feng , Huaiming Guo

We investigate chiral graphene nanoribbons using projective quantum Monte Carlo simulations within the local Hubbard model description and study the effects of electron-electron interactions on the electronic and magnetic properties at the…

Mesoscale and Nanoscale Physics · Physics 2013-05-07 Michael Golor , Thomas C. Lang , Stefan Wessel

A dynamic cluster quantum Monte Carlo approximation is used to study the effective pairing interaction of a 2D Hubbard model with a near neighbor hopping $t$ and an on-site Coulomb interaction $U$ . The effective pairing interaction is…

Superconductivity · Physics 2007-05-23 T. A. Maier , M. Jarrell , D. J. Scalapino

By using the determinant Quantum Monte Carlo method, the magnetic and pairing correlation of the Na$_{x}$CoO$_{2}\cdot$yH$_{2}$O system are studied within the Hubbard model on a bilayer triangular lattice. The temperature dependence of spin…

Strongly Correlated Electrons · Physics 2013-12-18 Shuang Wu , Jinling Li , Pan Gao , Ying Liang , Tianxing Ma

We investigate the ground-state properties of the two-dimensional Hubbard model, based on the off-diagonal wave function variational Monte Carlo method. We use an optimized wave function that is improved from an initial one-body wave…

Strongly Correlated Electrons · Physics 2025-07-08 Takashi Yanagisawa

We study a minimal Hubbard model for electronically driven superconductivity in a correlated flat mini-band resulting from the superlattice modulation of a twisted graphene multilayer. The valley degree of freedom drastically modifies the…

Strongly Correlated Electrons · Physics 2018-08-30 Cenke Xu , Leon Balents

The Fermi-Hubbard model is the starting point for the simulation of many strongly correlated materials, including high-temperature superconductors, whose modelling is a key motivation for the construction of quantum simulation and computing…