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Rhombohedral or ABC stacked multilayer graphene hosts a correlated magnetic ground state at charge neutrality, making it one of the simplest systems to investigate strong electronic correlations. We investigate this ground state in…

Strongly Correlated Electrons · Physics 2026-02-23 András Balogh , János Koltai , Péter Nemes-Incze , Zoltán Tajkov

We propose a class of networks which can be regarded as an extension of the graphitic network. These networks are constructed so that surface states with non-bonding character (edge states) are formed in a tight-binding model with one…

Materials Science · Physics 2007-05-23 Y. Takagi , M. Fujita , K. Wakabayashi , M. Igami , S. Okada , K. Nakada , K. Kusakabe

We study ballistic transport in bilayer graphene junctions and show how electrostatic gating, interlayer bias, and homogeneous strain provide complementary control over electron transmission. In the absence of strain, transport is governed…

Mesoscale and Nanoscale Physics · Physics 2026-04-10 Dan-Na Liu , Jun Zheng , Pierre A. Pantaleon

We present a general theoretical formulation to describe the interlayer interaction in incommensurate bilayer systems with arbitrary crystal structures. By starting from the tight- binding model with the distance-dependent transfer…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Mikito Koshino

We consider the random deposition of objects of variable width and height over a line. The successive additions of these structures create a random interface. We focus on the regime of heavy tailed distributions of the structure width. When…

Statistical Mechanics · Physics 2024-03-28 N. Pétrélis , F. Pétrélis

Inducing superconducting correlations in chiral edge states is predicted to generate topologically protected zero energy modes with exotic quantum statistics. Experimental efforts to date have focused on engineering interfaces between…

Topological edge states are recently attracting intense interest due to their robustness in the presence of disorder and defects. However, most approaches for manipulating such states require global modulations of the system's Hamiltonian.…

Quantum Physics · Physics 2023-09-26 Xian-Liang Lu , Ze-Liang Xiang

The unusual transport properties of graphene are the direct consequence of a peculiar bandstructure near the Dirac point. We determine the shape of the pi bands and their characteristic splitting, and the transition from a pure 2D to…

Materials Science · Physics 2007-05-23 Taisuke Ohta , Aaron Bostwick , J. L. McChesney , Thomas Seyller , Karsten Horn , Eli Rotenberg

The topological invariants of a periodic system can be used to define the topological phase of each band and determine the existence of topological interface states within a certain bandgap. Here, we propose a scheme based on the full phase…

Using highly efficient GPU-based simulations of the tight-binding Bogoliubov-de Gennes equations we solve self-consistently for the pair correlation in rhombohedral (ABC) and Bernal (ABA) multilayer graphene by considering a finite…

Superconductivity · Physics 2015-06-12 W. A. Munoz , L. Covaci , F. M. Peeters

We present a theoretical analysis of the proximity effect at a graphene-superconductor interface. We use a tight-binding model for the electronic states in this system which allows to describe the interface at the microscopic level. Two…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 P. Burset , A. L. Yeyati , A. Martín-Rodero

The ABC-stacked N-layer-graphene family of two-dimensional electron systems is described at low energies by two remarkably flat bands with Bloch states that have strongly momentum-dependent phase differences between carbon pi-orbital…

Materials Science · Physics 2010-07-12 Fan Zhang , Bhagawan Sahu , Hongki Min , Allan H. MacDonald

In this work we present the electronic band structure for (001)--CdTe interfaces with some other II--VI zinc blende semiconductors. We assume ideal interfaces. We use tight binding Hamiltonians with an orthogonal basis ($s p^3 s^*$). We…

Condensed Matter · Physics 2007-05-23 D. Olguin , R. Baquero

We demonstrate from a fundamental perspective the physical and mathematical origins of band warping and band non-parabolicity in electronic and vibrational structures. Remarkably, we find a robust presence and connection with pairs of…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Lorenzo Resca , Nicholas A. Mecholsky , Ian L. Pegg

We study interfaces between graphene and graphane. If the interface is oriented along a zigzag direction, edge states are found which exhibit a strong amplification of effects related to the spin-orbit interaction. The enhanced spin…

Mesoscale and Nanoscale Physics · Physics 2011-08-23 Manuel J. Schmidt , Daniel Loss

A striking feature of bilayer graphene is the induction of a significant band gap in the electronic states by the application of a perpendicular electric field. Thicker graphene layers are also highly attractive materials. The ability to…

Mesoscale and Nanoscale Physics · Physics 2012-02-21 Chun Hung Lui , Zhiqiang Li , Kin Fai Mak , Emmanuele Cappelluti , Tony F. Heinz

Interacting disordered zigzag graphene nanoribbons have fractional charges, are quasi-one-dimensional, and display an exponentially small gap. Our numerical computations showed that the topological entanglement entropy of these systems has…

Strongly Correlated Electrons · Physics 2021-04-07 Young Heon Kim , Hye Jeong Lee , S. -R. Eric Yang

Protein fibril accumulation at interfaces is an important step in many physiological processes and neurodegenerative diseases as well as in designing materials. Here we show, using $\beta$-lactoglobulin fibrils as a model, that semiflexible…

Biomolecules · Quantitative Biology 2015-05-20 Sophia Jordens , Emily E. Riley , Ivan Usov , Lucio Isa , Peter D. Olmsted , Raffaele Mezzenga

We revisit the Swift-Hohenberg model for two-dimensional hexagonal patterns in the bistability region where hexagons coexist with the uniform quiescent state. We both analyze the law of motion of planar interfaces (separating hexagons and…

Soft Condensed Matter · Physics 2007-05-23 Denis Boyer , Octavio Mondragón-Palomino

By means of a microwave tight-binding analogue experiment of a graphene-like lattice, we observe a topological transition between a phase with a point-like band gap characteristic of massless Dirac fermions and a gapped phase. By applying a…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Matthieu Bellec , Ulrich Kuhl , Gilles Montambaux , Fabrice Mortessagne
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