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A formalism based on the fermionic functional-renormalization-group approach to interacting electron models defined on a lattice is presented. One-loop flow equations for the coupling constants and susceptibilities in the particle-particle…

Strongly Correlated Electrons · Physics 2024-08-21 Lucas Désoppi , Nicolas Dupuis , Claude Bourbonnais

The functional renormalization group (FRG) approach for spin models relying on a pseudo-fermionic description has proven to be a powerful technique in simulating ground state properties of strongly frustrated magnetic lattices. A drawback…

Strongly Correlated Electrons · Physics 2025-12-17 Janik Potten , Yasir Iqbal , Ronny Thomale , Tobias Müller

We present a functional renormalization group (fRG) formalism for interacting fermions on lattices that captures the flow into states with commensurate spin-density wave order. During the flow, the growth of the order parameter is fed back…

Strongly Correlated Electrons · Physics 2014-07-31 Stefan A. Maier , Andreas Eberlein , Carsten Honerkamp

A novel effective Hamiltonian in the subspace of singly occupied states is obtained by applying the Gutzwiller projection approach to a generalized Hubbard model with the interactions between two nearest- neighbor sites. This model provides…

Strongly Correlated Electrons · Physics 2017-03-27 Tao Sun

Classical spin liquids are disordered magnetic phases, governed by local constraints that often give rise to flat-band ground states. When constraints take the form of a zero-divergence field within a cluster of spins, the spin liquid is…

Strongly Correlated Electrons · Physics 2026-01-30 Naïmo Davier , Ludovic D. C. Jaubert

We present a renormalization group (RG) analysis of a fermionic "hot spot" model of interacting electrons on the square lattice. We truncate the Fermi surface excitations to linearly dispersing quasiparticles in the vicinity of eight hot…

Superconductivity · Physics 2014-09-17 Seth Whitsitt , Subir Sachdev

Spin excitation in a nano-graphite ribbon with zigzag edges is investigated theoretically. Due to the strongly localized nature of the states near Fermi energy, the effective Hamiltonian for the low energy physics is given by Heisenberg…

Strongly Correlated Electrons · Physics 2009-11-10 H. Yoshioka

We study the properties of flat-bands that appear in a heterostructure composed of strands of different widths of graphene armchair nanoribbons. One of the flat-bands is reminiscent of the one that appears in pristine armchair nanoribbons…

Mesoscale and Nanoscale Physics · Physics 2022-02-18 P. A. Almeida , L. S. Sousa , Tome M. Schmidt , G. B. Martins

Both insulating and conducting electronic behaviors have been experimentally seen in clean bilayer graphene samples at low temperature, and there is still no consensus on the nature of the interacting ground state at half-filling and in the…

Strongly Correlated Electrons · Physics 2019-09-11 Jia Ning Leaw , Ho-Kin Tang , Pinaki Sengupta , Fakher F. Assaad , Igor F. Herbut , Shaffique Adam

The functional renormalization group (fRG) is acknowledged as a powerful tool in quantum many-body physics and beyond. On the technical side, conventional implementations of the fRG rely on regulators for bare propagators only. Starting…

Strongly Correlated Electrons · Physics 2026-04-09 Aiman Al-Eryani , Marcel Gievers , Kilian Fraboulet

We propose a method to realize a broad class of tunable fermionic Hamiltonians in graphene bilayer. For that matter, we consider graphene bilayer functionalized with sp$^3$ defects that induce zero energy resonances hosting an individual…

Mesoscale and Nanoscale Physics · Physics 2019-12-18 N. A. García-Martínez , J. Fernández-Rossier

We numerically compute the density of states (DOS) of interacting disordered zigzag graphene nanoribbon (ZGNR) having midgap states showing $e/2$ fractional edge charges. The computed Hartree-Fock DOS is linear at the critical disorder…

Strongly Correlated Electrons · Physics 2020-07-23 S. -R. Eric Yang , Min-Chul Cha , Hye Jeong Lee , Young Heon Kim

The Hartree-Fock based diagonalization is a computational method for the investigation of the low-energy properties of correlated electrons in disordered solids. The method is related to the quantum-chemical configuration interaction…

Disordered Systems and Neural Networks · Physics 2007-05-23 Michael Schreiber , Thomas Vojta

Although magnetic frustration in metals provides a promising avenue for novel quantum phenomena, their microscopic interpretation is often challenging. Here we use the face-centered cubic intermetallic HoInCu$_4$ as model material to show…

Strongly Correlated Electrons · Physics 2025-07-28 X. Boraley , O. Stockert , J. Lass , R. Sibille , Ø. S. Fjellvåg , S. H. Moody , A. M. Läuchli , V. Fritsch , D. G. Mazzone

Motivated by recent experimental observations of correlated metallic phases and superconductivity in rhombohedral trilayer graphene (RTG), we perform an unbiased study of electronic ordering instabilities in hole-doped RTG. Specifically, we…

Strongly Correlated Electrons · Physics 2022-11-08 Da-Chuan Lu , Taige Wang , Shubhayu Chatterjee , Yi-Zhuang You

The electronic friction-Langevin dynamics (EF-LD) offers a simplified framework for describing nonadiabatic effects at metal surfaces, particularly in electrochemical and molecular electronic applications. We investigate the electronic…

Strongly Correlated Electrons · Physics 2025-09-03 Yunhao Liu , Wenjie Dou

We propose new approach for treatment of local and non-local interactions in correlated electronic systems, which uses self-energy and the two-particle irreducible vertices, obtained from (extended) dynamical mean-field theory, as an input…

Strongly Correlated Electrons · Physics 2019-03-12 A. A. Katanin

We investigate the quantum many-body instabilities of the extended Hubbard model for spinless fermions on the honeycomb lattice with repulsive nearest-neighbor and 2nd nearest-neighbor density-density interactions. Recent exact…

Strongly Correlated Electrons · Physics 2015-10-28 Daniel D. Scherer , Michael M. Scherer , Carsten Honerkamp

Configuration-interaction-type calculations on electronic and vibrational structure are often the method of choice for the reliable approximation of many-particle wave functions and energies. The exponential scaling, however, limits their…

Computational Physics · Physics 2019-05-24 Alberto Baiardi , Christopher J. Stein , Vincenzo Barone , Markus Reiher

We study the ground state properties of the doped Hubbard model with strong interactions on honeycomb lattice by the Density Matrix Renormalization Group (DMRG) method. At half-filling, due to the absence of minus sign problem, it is now…

Strongly Correlated Electrons · Physics 2021-04-30 Xu Yang , Hao Zheng , Mingpu Qin
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