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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

Artificial honeycomb lattices offer a tunable platform to study massless Dirac quasiparticles and their topological and correlated phases. Here we review recent progress in the design and fabrication of such synthetic structures focusing on…

Mesoscale and Nanoscale Physics · Physics 2013-09-13 Marco Polini , Francisco Guinea , Maciej Lewenstein , Hari C. Manoharan , Vittorio Pellegrini

Graphene electrons feature a pair of massless Dirac cones of opposite pseudospin chirality at two valleys. Klein tunneling refers to the intriguing capability of these chiral electrons to penetrate through high and wide potential barrier.…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Xing-Tao An , Wang Yao

Analogous to charge and spin, electrons in solids endows an additional degree of freedom: the valley pseudospin. Two-dimensional hexagonal materials such as graphene exhibit two valleys, labelled as $\mathbf{K}$ and $\mathbf{K}^{\prime}$.…

Mesoscale and Nanoscale Physics · Physics 2022-01-12 M. S. Mrudul , Gopal Dixit

Graphene was the first material predicted to be a time-reversal-invariant topological insulator; however, the insulating gap is immeasurably small owing to the weakness of spin-orbit interactions in graphene. A recent experiment [1]…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Pouyan Ghaemi , Sarang Gopalakrishnan , Taylor L. Hughes

In topological photonics, artificial photonic structures are constructed for realizing nontrivial unidirectional propagation of photonic information. On the other hand, moir\'e superlattices are emerging as an important avenue for…

Optics · Physics 2024-03-13 Weiwei Luo , Jiang Fan , Alexey B. Kuzmenko , Wei Cai , Jingjun Xu

In graphene, the pseudospin and the valley flavor arise as new types of quantum degrees of freedom due to the honeycomb lattice comprising two sublattices (A and B) and two inequivalent Dirac points (K and K') in the Brillouin zone,…

Mesoscale and Nanoscale Physics · Physics 2011-12-26 Changwon Park , Heejun Yang , Andrew J. Mayne , Gerald Dujardin , Sunae Seo , Young Kuk , Jisoon Ihm , Gunn Kim

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

Motivated by the triumph and limitation of graphene for electronic applications, atomically thin layers of group VI transition metal dichalcogenides are attracting extensive interest as a class of graphene-like semiconductors with a desired…

Mesoscale and Nanoscale Physics · Physics 2013-04-17 Hualing Zeng , Gui-Bin Liu , Junfeng Dai , Yajun Yan , Bairen Zhu , Ruicong He , Lu Xie , Shijie Xu , Xianhui Chen , Wang Yao , Xiaodong Cui

The honeycomb lattice sets the basic arena for numerous ideas to implement electronic, photonic, or phononic topological bands in (meta-)materials. Novel opportunities to manipulate Dirac electrons in graphene through band engineering arise…

Mesoscale and Nanoscale Physics · Physics 2019-10-29 Tobias M. R. Wolf , Oded Zilberberg , Ivan Levkivkskyi , Gianni Blatter

We review the energy spectrum and transport properties of several types of one- dimensional superlattices (SLs) on single-layer and bilayer graphene. In single-layer graphene, for certain SL parameters an electron beam incident on a SL is…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 M. Barbier , P. Vasilopoulos , F. M. Peeters

Valley-based electronics, known as valleytronics, is one of the keys to break through to a new stage of electronics. The valley degree of freedom is ubiquitous in the honeycomb lattice system. The honeycomb lattice structure of silicon…

Mesoscale and Nanoscale Physics · Physics 2013-04-23 Motohiko Ezawa

Electrons in graphene have fourfold spin and valley degeneracies owing to the unique bipartite honeycomb lattice and an extremely weak spin-orbit coupling, which can support a series of broken symmetry states. Atomic-scale defects in…

Mesoscale and Nanoscale Physics · Physics 2022-08-17 Yu Zhang , Liangguang Jia , Yaoyao Chen , Lin He , Yeliang Wang

Silicene is a monolayer of silicon atoms forming a two-dimensional honeycomb lattice, which shares almost every remarkable property with graphene. The low energy structure of silicene is described by Dirac electrons with relatively large…

Mesoscale and Nanoscale Physics · Physics 2012-08-08 Motohiko Ezawa

Pseudorelativistic Dirac quasiparticles have emerged in a plethora of artificial graphene systems that mimic the underlying honeycomb symmetry of graphene. However, it is notoriously difficult to manipulate their properties without…

Recently, the concept of topological insulators has been generalized to topological semimetals, including three-dimensional (3D) Weyl semimetals, 3D Dirac semimetals, and 3D node-line semimetals. In particular, several compounds (e.g.,…

Materials Science · Physics 2017-06-07 J. L. Lu , W. Luo , X. Y. Li , S. Q. Yang , J. X. Cao , X. G. Gong , H. J. Xiang

We study the superconducting phases of the two-dimensional honeycomb lattice of graphene. We find two spin singlet pairing states, s-wave and an exotic $p+ip$ that is possible because of the special structure of the honeycomb lattice. At…

Superconductivity · Physics 2011-07-12 Bruno Uchoa , A. H. Castro Neto

We find a mixed chirality $d$-wave superconducting state in the coexistence region between antiferromagnetism and interaction-driven superconductivity in lightly doped honeycomb materials. This state has a topological chiral $d+id$-wave…

Superconductivity · Physics 2015-11-04 A. M. Black-Schaffer , K. Le Hur

Patterning graphene with a spatially-periodic potential provides a powerful means to modify its electronic properties. Dramatic effects have been demonstrated in twisted bilayers where coupling to the resulting moir\'e-superlattice yields…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 Yutao Li , Scott Dietrich , Carlos Forsythe , Takashi Taniguchi , Kenji Watanabe , Pilkyung Moon , Cory R. Dean

Graphene, and other members of the monolayer Xene family, represent an ideal materials platform for "valleytronics", the control of valley localized charge excitations. The absence of a gap in these semi-metals, however, precludes valley…

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