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We propose a lattice scale two-band generalized Hubbard model as a caricature of the electronic structure of twisted bilayer graphene. Various possible broken symmetry phases can arise, including a nematic phase (which is a form of orbital…

Superconductivity · Physics 2018-08-29 John F. Dodaro , Steven A. Kivelson , Yoni Schattner , Xiao-Qi Sun , Chao Wang

A novel magnetic ground state is reported for the Hubbard Hamiltonian in strained graphene. When the chemical potential lies close to the Dirac point, the ground state exhibits locally both the N\'{e}el and ferromagnetic orders, even for…

Mesoscale and Nanoscale Physics · Physics 2014-06-11 Bitan Roy , Fakher F. Assaad , Igor F. Herbut

Recent experiments have revealed that superconductivity in rhombohedral tetralayer graphene can emerge from a valley-polarized and, hence, chiral normal state. The interplay of pairing and the reduced normal-state symmetries sparked…

Superconductivity · Physics 2025-08-21 Yinqi Chen , Mathias S. Scheurer , Constantin Schrade

Using constrained-path quantum Monte Carlo method, we systematically study the Hubbard model on AA-stacked honeycomb lattices with electric field. Our simulation demonstrates a dominant chiral d+id wave pairing induced by the electric field…

Superconductivity · Physics 2019-07-25 Shi-Chao Fang , Yan Zhang , Xiaojun Zheng , Guangkun Liu , Zhongbing Huang

We explore the interplay of a charge density wave (CDW) order and s-wave superconductivity (sSC) in a disordered system. Recent experiments on 1T-TiSe_2, where the pristine sample has a commensurate CDW order and the superconductivity…

Superconductivity · Physics 2018-10-03 Anurag Banerjee , Arti Garg , Amit Ghosal

We report the observation of superconductivity in rhombohedral trilayer graphene electrostatically doped with holes. Superconductivity occurs in two distinct regions within the space of gate-tuned charge carrier density and applied electric…

Mesoscale and Nanoscale Physics · Physics 2021-10-25 Haoxin Zhou , Tian Xie , Takashi Taniguchi , Kenji Watanabe , Andrea F. Young

The long-studied Hubbard model is one of the simplest models of copper-oxide superconductors. However, the connection between the model and the experimental phase diagram is still under debate, in particular regarding the existence and…

Strongly Correlated Electrons · Physics 2018-11-21 Andrew S. Darmawan , Yusuke Nomura , Youhei Yamaji , Masatoshi Imada

A possible realization of Hall conductivity, quantized at odd integer factors of $e^2/h$ for graphene's honeycomb lattice is proposed. I argue that, in the presence of \emph{uniform} real and pseudo-magnetic fields, the valley degeneracy…

Mesoscale and Nanoscale Physics · Physics 2011-08-16 Bitan Roy

We present a theory of superconductivity in twisted bilayer graphene in which attraction is generated between electrons on the same honeycomb sublattice when the system is close to a sublattice polarization instability. The resulting Cooper…

Mesoscale and Nanoscale Physics · Physics 2022-10-26 Chunli Huang , Nemin Wei , Wei Qin , Allan MacDonald

Borocarbide compounds with the formula RNi2B2C show interesting superconducting and magnetic properties and the coexistence of the two phenomena. BCS theory is extended to systems with underlying commensurate magnetic order. In the case of…

Superconductivity · Physics 2009-10-31 A. Amici , P. Thalmeier , P. Fulde

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

Hybrid ferromagnetic/superconducting systems are well known for hosting intriguing phenomena such as emergent triplet superconductivity at their interfaces and the appearance of in-gap, spin polarized Yu-Shiba-Rusinov (YSR) states bound to…

Doping a Mott insulator gives rise to unconventional superconducting correlations. Here we address the interplay between d-wave superconductivity and Mott physics using the two-dimensional Hubbard model with cellular dynamical mean-field…

Strongly Correlated Electrons · Physics 2023-08-30 C. Walsh , M. Charlebois , P. Sémon , A. -M. S. Tremblay , G. Sordi

We report a large-scale density-matrix renormalization group study of the lightly doped Hubbard model on 4-leg cylinders at hole doping concentration $\delta=12.5\%$. By keeping a large number of states for long system sizes, we are able to…

Strongly Correlated Electrons · Physics 2019-09-30 Hong-Chen Jiang , Thomas P. Devereaux

The Hubbard model and extended Hubbard model on the honeycomb lattice can be seen as prototype models of single layer graphene placed in a high dielectric constant environment that screens the Coulomb interaction. Taking advantage of the…

Strongly Correlated Electrons · Physics 2014-09-23 Wei Wu , A. -M. -S. Tremblay

Superconductivity was recently observed in boron-doped ($\sqrt{3}\times\sqrt{3}$)Sn/Si(111). The material can be described by an extended Hubbard model on a triangular lattice. Here, we use the random-phase approximation to investigate the…

Superconductivity · Physics 2022-08-23 Mehdi Biderang , Mohammad-Hossein Zare , Jesko Sirker

Recent experimental studies confirmed that a long searched conventional superconducting phase in graphene can be induced via lithium deposition. However, the canonical character of the lithium-decorated graphene (LiC$_{6}$) superconductor…

Superconductivity · Physics 2019-06-26 Dominik Szczȩśniak , Radosław Szczȩśniak

Moir\'e materials provide exciting platforms for studying the interplay of strong electronic correlation and large magnetic flux effects. We study the lightly doped Hofstadter-Hubbard model on a triangular lattice through large-scale…

Strongly Correlated Electrons · Physics 2025-09-04 Feng Chen , Wen O. Wang , Jia-Xin Zhang , Leon Balents , D. N. Sheng

Motivated by recent experimental study of antiferromagnetic property of honeycomb compound In$_{3}$Cu$_{2}$VO$_{9}$ [Yan \textit{et al.}, PRB \textbf{85}, 085102 (2012)], we explore possible superconductivity and its coexistence with…

Superconductivity · Physics 2015-01-29 Yin Zhong , Lan Zhang , Han-Tao Lu , Hong-Gang Luo

According to the Goldstone theorem the breaking of a continuous U(1) symmetry comes along with the existence of low-energy collective modes. In the context of superconductivity these excitations are related to the phase of the…

Superconductivity · Physics 2014-06-19 T. Cea , D. Bucheli , G. Seibold , L. Benfatto , J. Lorenzana , C. Castellani
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