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Multi-critical behavior of interacting fermions in graphene's honeycomb lattice is presented. In particular, we considered the spin triplet insulating orders, where the spin rotational symmetry of the order parameter is explicitly broken.…

Strongly Correlated Electrons · Physics 2011-10-03 Bitan Roy

We study the effect of sublattice symmetry breaking on the electronic, magnetic and transport properties of two dimensional graphene as well as zigzag terminated one and zero dimensional graphene nanostructures. The systems are described…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 D. Soriano , J. Fernández-Rossier

In the present paper we present some new data supporting the existence of a spin-disordered phase in the Heisenberg model on the honeycomb lattice with antiferromagnetic interactions up to third neighbors along the line J2=J3, predicted in…

Strongly Correlated Electrons · Physics 2011-06-01 D. C. Cabra , C. A. Lamas , H. D. Rosales

In a recent Letter, Hassan and S\'en\'echal [1] discussed the existence of a spin-liquid phase of the half-filled Hubbard model on the honeycomb lattice. Using schemes, such as the variational cluster approximation (VCA) and the cluster…

Strongly Correlated Electrons · Physics 2015-06-15 A. Liebsch

We propose that spin-fluctuation-mediated spin-triplet superconductivity may be realized in repulsive Hubbard models with disconnected Fermi surfaces. The idea is confirmed for Hubbard models on triangular (dilute band filling) and…

Strongly Correlated Electrons · Physics 2009-10-31 Kazuhiko Kuroki , Ryotaro Arita

The expected phenomenology of non-interacting topological band insulators (TBI) is now largely theoretically understood. However, the fate of TBIs in the presence of interactions remains an active area of research with novel,…

Strongly Correlated Electrons · Physics 2013-05-30 Mehdi Kargarian , Abdollah Langari , Gregory A. Fiete

Tight binding electrons on the honeycomb lattice are studied where nearest neighbor hoppings in the three directions are $t_a,t_b$ and $t_c$, respectively. For the isotropic case, namely for $t_a=t_b=t_c$, two zero modes exist where the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yasumasa Hasegawa , Rikio Konno , Hiroki Nakano , Mahito Kohmoto

Recent experimental observations have reported that, rather than randomly distributed, nitrogen atoms may prefer to be located on one of the two sub-lattices of graphene. It has been suggested that such a preference may present a possible…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 James A. Lawlor , Mauro S. Ferreira

We study a model of spinless fermions on the honeycomb lattice with nearest-neighbor exclusion and extended repulsive interactions that exhibits `lattice supersymmetry' [P. Fendley, K. Schoutens, and J. de Boer, Phys. Rev. Lett. 90, 120402…

Strongly Correlated Electrons · Physics 2024-10-15 Patrick H. Wilhelm , Yves H. Kwan , Andreas M. Läuchli , S. A. Parameswaran

We have performed large-scale density-matrix renormalization group studies of the lightly doped Hubbard model on the honeycomb lattice on long three and four-leg cylinders. We find that the ground state of the system upon lightly doping is…

Strongly Correlated Electrons · Physics 2023-03-23 Cheng Peng , D. N. Sheng , Hong-Chen Jiang

Single-orbital Hubbard models exhibit remarkably nontrivial correlation phenomena, even on nonfrustrated bipartite lattices. Some of these, like non-Fermi-liquid metal states, or the coexistence of heavy and light quasi-particles, are…

Strongly Correlated Electrons · Physics 2025-04-01 Philipp Werner , Sayed Ali Akbar Ghorashi

The possibility of intrinsic superconductivity in alkali-coated graphene monolayers has been recently suggested theoretically. Here, we derive the possible pairing symmetries of a carbon honeycomb lattice and discuss their phase diagram. We…

Superconductivity · Physics 2010-08-17 F. M. D. Pellegrino , G. G. N. Angilella , R. Pucci

A carbon nanotube (CNT) tip was fabricated at the apex of an etched tungsten wire by chemical vapor deposition and used for scanning tunneling microscopy. The honeycomb lattice of graphite in the STM images was resolved with a CNT tip at…

Mesoscale and Nanoscale Physics · Physics 2013-03-05 Jeehoon Kim , Junwei Huang , Alex de Lozanne

Motivated by recent experiment on the Na$_4$Ir$_3$O$_8$ compound we study the Hubbard model on the "hyper-kagome lattice", which forms a three-dimensional network of corner sharing triangles, using dynamical cluster approximation (DCA)…

Strongly Correlated Electrons · Physics 2009-03-18 Hunpyo Lee , Hartmut Monien

The core of the vortex in the Neel order parameter for an easy-plane antiferromagnet on honeycomb lattice is demonstrated to bind two zero-energy states. Remarkably, a single electron occupying this mid-gap band has its spin fragmented…

Strongly Correlated Electrons · Physics 2009-05-20 Igor F. Herbut

The Anderson model of an $s$-wave single-orbital correlated impurity placed on a noninteracting honeycomb lattice, a simplified model for studying an impurity on graphene, is used to investigate pseudogap Kondo problem. In this model, there…

Strongly Correlated Electrons · Physics 2021-07-22 Hung T. Dang , Hoa T. M. Nghiem

The phase diagram of the one-dimensional extended Hubbard model at half-filling is investigated by a weak coupling renormalization group method applicable beyond the usual continuum limit for the electron spectrum and coupling constants. We…

Strongly Correlated Electrons · Physics 2011-04-04 M. Ménard , C. Bourbonnais

We present a first-principles study of bare and hydrogen passivated armchair nanoribbons of the puckered single layer honeycomb structures of silicon and germanium. Our study includes optimization of atomic structure, stability analysis…

Mesoscale and Nanoscale Physics · Physics 2010-12-21 S. Cahangirov , M. Topsakal , S. Ciraci

We study the rare-earth magnets on a honeycomb lattice, and are particularly interested in the experimental consequences of the highly anisotropic spin interaction due to the spin-orbit entanglement. We perform a high-temperature series…

Strongly Correlated Electrons · Physics 2020-10-06 Zhu-Xi Luo , Gang Chen

We study the Hubbard model on the honeycomb lattice in the vicinity of the quantum critical point by means of a multiband formulation of the Dual Fermion approach. Beyond the strong local correlations of the dynamical mean field, critical…

Strongly Correlated Electrons · Physics 2018-04-04 Daniel Hirschmeier , Hartmut Hafermann , Alexander I. Lichtenstein