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A semimetal-insulator transition in the Hubbard model on the honeycomb lattice is studied by using the dynamical mean field theory. Electrons in the honeycomb lattice resemble the Dirac electron liquid and for weak interactions the system…

Strongly Correlated Electrons · Physics 2009-04-01 Minh-Tien Tran , Kazuhiko Kuroki

While it has been one of the most important new physics discoveries in the last decade, the nature of superconductivity in the twisted graphene family remains an unsolved problem. Motivated by recent scanning tunneling experiments that…

Superconductivity · Physics 2026-02-19 Ke Wang , K. Levin

The growing skill in the synthesis processes of new materials has intensified the interest in exploring the properties of systems modeled by more complex lattices. Two-dimensional super-honeycomb lattices, have been investigated in metallic…

Mesoscale and Nanoscale Physics · Physics 2023-02-03 A. B. Felix de Souza , L. Spreafico , D. Faria , A. Latgé

Entanglement of charge orderings and other electronic orders such as superconductivity is in the core of challenging physics issues of complex materials including high temperature superconductivity. Here, we report on the observation of a…

We investigate the ground-state properies of the $K-\Gamma$ model on a honeycomb lattice using series expansions and numerical exact diagonalizations, where the model includes Kitaev ($K$) and symmetric off-diagonal ($\Gamma$) interactions.…

Strongly Correlated Electrons · Physics 2020-07-15 Takuto Yamada , Takafumi Suzuki , Sei-ichiro Suga

Using a controlled weak-coupling renormalization group approach, we establish the mechanism of unconventional superconductivity in the vicinity of spin or charge ordered excitonic states for the case of electrons on the Bernal stacked…

Strongly Correlated Electrons · Physics 2014-04-14 Oskar Vafek , James M. Murray , Vladimir Cvetkovic

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

We investigate possible topological superconductivity in the Kondo-Kitaev model on the honeycomb lattice, where the Kitaev spin liquid is coupled to conduction electrons via the Kondo coupling. We use the self-consistent Abrikosov-fermion…

Strongly Correlated Electrons · Physics 2021-10-11 Wonjune Choi , Philipp W. Klein , Achim Rosch , Yong Baek Kim

The discovery of superconductivity in layered vanadium-based kagome metals $A$V$_3$Sb$_5$ ($A$: K, Rb, Cs) has added a new family of materials to the growing class of possible unconventional superconductors. However, the nature of the…

Disorder and doping have profound effects on the intrinsic physical mechanisms of superconductivity. In this paper, we employed the determinant quantum Monte Carlo method to investigate the symmetry-allowed superconducting orders on the…

Superconductivity · Physics 2024-08-15 Kaiyi Guo , Yue Zhang , Ying Liang , Tianxing Ma

In this paper we generalized the slave-particle technique to study the phase diagram of the Hubbard model on honeycomb lattice which may contain charge fluctuations. For large $U$, we have antiferromagnetic order phase. As we decrease $U$…

Strongly Correlated Electrons · Physics 2010-10-28 Abolhassan Vaezi , Xiao-Gang Wen

The graph-theoretic topological frustration is a peculiar situation on a finite piece of the honeycomb lattice that prevents a full pairwise coupling of the lattice sites via nearest neighbor links, even when the total number of sites is an…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Vasil A. Saroka

Geometric frustration has long been a subject of enduring interest in condensed matter physics. While geometric frustration traditionally focuses on magnetic systems, little attention is paid to the "frustrated superconductivity" which…

Superconductivity · Physics 2025-10-16 Hong-Min Jiang , Wen-Qian Dong , Shun-Li Yu , Z. D. Wang

Breaking the intrinsic chirality of quasiparticles in graphene enables the emergence of new and intriguing phases. One such paradigmatic example is the bond density wave, which leads to a Kekul\'{e}-ordered structure and underpins exotic…

Mesoscale and Nanoscale Physics · Physics 2025-06-23 Dominik Szczȩśniak

Altermagnet-superconductor heterostructures have been shown, in principle, to provide a route towards realising topological superconductivity, and therefore host topologically protected boundary states. In this work we demonstrate that the…

Mesoscale and Nanoscale Physics · Physics 2026-01-12 George McArdle , Brian Kiraly , Peter Wadley , Adam Gammon-Smith

We classify the order parameters on the honeycomb lattice using the SO(4) symmetry of the Hubbard model. We will focus on the topologically nontrivial quantum spin Hall order and spin triplet superconductor, which together belong to the (3,…

Strongly Correlated Electrons · Physics 2015-03-17 Cenke Xu

We study superconductivity on the honeycomb lattice close to the Mott state at half-filling. Due to the sixfold lattice symmetry and disjoint Fermi surfaces at opposite momenta, we show that several different fully gapped superconducting…

Superconductivity · Physics 2014-09-23 Annica M. Black-Schaffer , Wei Wu , Karyn Le Hur

An array of one-dimensional conductors coupled by transverse hopping and interaction is studied with the help of a variational wave function. This wave function is devised as to account for one-dimensional correlation effects. We show that…

Superconductivity · Physics 2010-11-11 A. V. Rozhkov

We study the Hubbard model on the honeycomb lattice with nearest-neighbor hopping ($t>0$) and next-nearest-neighbor one ($t'<0$). When $t'<-t/6$, the single-particle spectrum is featured by the continuously distributed Van-Hove saddle…

Strongly Correlated Electrons · Physics 2015-06-18 Tianxing Ma , Fan Yang , Hong Yao , Hai-Qing Lin

We investigate unconventional superconductivity in three-dimensional electronic systems with the chemical potential close to a quadratic band touching point in the band dispersion. Short-range interactions can lead to d-wave…

Strongly Correlated Electrons · Physics 2018-02-06 Igor Boettcher , Igor F. Herbut