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We predict two topological superconducting phases in microscopic models arising from the Berry phase associated with the valley degree of freedom in gapped Dirac honeycomb systems. The first one is a topological helical spin-triplet…

Superconductivity · Physics 2019-05-30 Kyungmin Lee , Tamaghna Hazra , Mohit Randeria , Nandini Trivedi

We derive ground state wave functions of superconducting instabilities on the honeycomb lattice induced by nearest-neighbor attractive interactions. They reflect the Dirac nature of electrons in the low-energy limit. For the order parameter…

Superconductivity · Physics 2011-02-15 M. V. Milovanović

We study superconducting (SC) phases that are naturally proximate to a spin-orbit coupled SU(8) Dirac semi-metal on a honeycomb lattice. This system, which offers enhanced low-energy symmetries, presents an interesting platform for…

Strongly Correlated Electrons · Physics 2025-05-09 Ankush Chaubey , Basudeb Mondal , Vijay B. Shenoy , Subhro Bhattacharjee

Motivated by the possible non-spin-singlet superconductivity in the magic-angle twisted trilayer graphene experiment, we investigate the triplet-pairing superconductivity arising from a correlation-induced spin-fermion model on a honeycomb…

Superconductivity · Physics 2021-11-18 Yang-Zhi Chou , Fengcheng Wu , Jay D. Sau , Sankar Das Sarma

We study theoretically a setup consisting of excitons formed in two valleys, with proximity-induced Cooper pairing, different in the conduction and valence bands. Due to the combination of a Coulomb interaction with superconducting…

Superconductivity · Physics 2024-08-15 Viktoriia Kornich

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

Superconducting states that break space-group symmetries of the underlying crystal can exhibit nontrivial spatial modulation of the order parameter. Previously, such remarkable states were intimately associated with the breaking of…

The dominating superconducting pairing symmetry of the kagome-lattice Hubbard model is investigated using the determinant quantum Monte Carlo method. The superconducting instability occurs when doping the correlated insulators formed by the…

Strongly Correlated Electrons · Physics 2022-02-16 Chenyue Wen , Xingchuan Zhu , Zhisong Xiao , Ning Hao , Rubem Mondaini , Huaiming Guo , Shiping Feng

We study the possible superconducting pairing symmetry mediated by spin and charge fluctuations on the honeycomb lattice using the extended Hubbard model and the random-phase-approximation method. From $2\%$ to $20\%$ doping levels, a…

Superconductivity · Physics 2016-08-31 Long-Yun Xiao , Shun-Li Yu , Wei Wang , Zi-Jian Yao , Jian-Xin Li

Motivated by the recent numerical simulations for doped $t$-$J$ model on the honeycomb lattice, we study superconductivity of singlet and triplet pairing on the honeycomb lattice Hubbard model. We show that a superconducting state with…

Strongly Correlated Electrons · Physics 2020-12-25 Yang Qi , Liang Fu , Kai Sun , Zhengcheng Gu

In conventional superconductors the Cooper pairs have a zero center of mass momentum. In this paper we present a theory of superconducting states where the Cooper pairs have a nonzero center of mass momentum, inhomogeneous superconducting…

Superconductivity · Physics 2014-04-22 Rodrigo Soto-Garrido , Eduardo Fradkin

We study the pairing symmetry of a doped Kane-Mele model on a honeycomb lattice with on-site Coulomb interaction. The pairing instability of Cooper pair is calculated based on the linearized Eliashberg equation within the random phase…

Superconductivity · Physics 2016-09-12 Yuri Fukaya , Keiji Yada , Ayami Hattori , Yukio Tanaka

Identifying superconducting states of matter without prior assumptions is a central challenge in strongly correlated electron systems. We introduce a canonical framework for diagnosing the formation of Cooper pair condensates based on the…

Strongly Correlated Electrons · Physics 2026-01-28 Hannes Karlsson , Johannes S. Hofmann , Alexander Wietek

Fermionic superfluidity with a nontrivial Cooper-pairing, beyond the conventional Bardeen-Cooper-Schrieffer state, is a captivating field of study in quantum many-body systems. In particular, the search for superconducting states with…

The metallic transition-metal dichalcogenides (TMDCs) are benchmark systems for studying and controlling intertwined electronic orders in solids, with superconductivity developing upon cooling from a charge density wave state. The interplay…

We study a honeycomb Kondo lattice model in which Dirac conduction electrons are coupled to a spin-1/2 Kitaev quantum spin liquid. For weak Kondo coupling, the spins fractionalize into Majorana fermions comprising a gapless Dirac mode and…

Strongly Correlated Electrons · Physics 2026-03-30 Jennifer Lin , Frank Krüger

The formation of Cooper pairs, a bound state of two electrons of opposite spin and momenta by exchange of a phonon [1], is a defining feature of conventional superconductivity. In the cuprate high temperature superconductors, even though it…

Superconductivity · Physics 2022-04-15 Francisco Restrepo , Utpal Chatterjee , Genda Gu , Hao Xu , Dirk K. Morr , Juan Carlos Campuzano

We provide analytical and numerical evidence of a spin-triplet FFLO superconductivity in the itinerant Kitaev-Heisenberg model (anti-ferromagnetic Kitaev coupling and ferromagnetic Heisenberg coupling) on the honeycomb lattice around…

Strongly Correlated Electrons · Physics 2016-11-23 Tianhan Liu , Cécile Repellin , Benoît Douçot , Nicolas Regnault , Karyn Le Hur

Exotic correlated insulating phases emerge in the ABC-stacked trilayer graphene-boron nitride Moire super-lattice at both quarter and half-filling. A single-band minimal model with valley contrasting staggered-flux is proposed to capture…

Strongly Correlated Electrons · Physics 2018-10-29 Guo-Yi Zhu , Tao Xiang , Guang-Ming Zhang

BCS theory describes the formation of Cooper pairs and their instant "Bose condensation" into a superconducting state. Helium atoms are preformed bosons and, in addition to their condensed superfluid state, can also form a quantum solid,…

Strongly Correlated Electrons · Physics 2008-07-22 Zlatko Tesanovic
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