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We demonstrate that there exists a continuum Hamiltonian $H(\bf{r},\bf{p})$ that is formally the operator equivalent of the general tight-binding method, inheriting the associativity and Hermiticity of the latter operator. This provides a…

Materials Science · Physics 2019-01-16 F. Rost , R. Gupta , M. Fleischmann , D. Weckbecker , N. Ray , J. Olivares , M. Vogl , S. Sharma , O. Pankratov , S. Shallcross

We discuss the effect of elastic deformations on the electronic properties of bilayer graphene membranes. Distortions of the lattice translate into fictitious gauge fields in the electronic Dirac Hamiltonian which are explicitly derived…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Eros Mariani , Alexander J. Pearce , Felix von Oppen

We propose that unconventional Josephson effects can typically emerge in {\it PT}-symmetric antiferromagnetic (AFM) bilayer systems. When proximitized by a conventional superconductor, these heterostructures host dominant interlayer Cooper…

Superconductivity · Physics 2026-01-28 Jin-Xin Hu , Mengli Hu , Ying-Ming Xie , K. T. Law

In mean-field-theory bilayer graphene's massive Dirac fermion model has a family of broken inversion symmetry ground states with charge gaps and flavor dependent spontaneous inter layer charge transfers. We use a lattice Hartree-Fock model…

Mesoscale and Nanoscale Physics · Physics 2011-04-22 Jeil Jung , Fan Zhang , Allan H. MacDonald

The optical and electronic properties of multilayer transition metal dichalcogenides differ significantly from their monolayer counterparts due to interlayer interactions. The separation of individual layers can be tuned in a controlled way…

In this paper, we study the Berry curvature induced linear and nonlinear magnon transport in bilayer van der Waals antiferromagnets, where we deduce forms for the spin and energy currents within the semiclassical Boltzmann formalism under…

Mesoscale and Nanoscale Physics · Physics 2023-08-10 Rohit Mukherjee , Sonu Verma , Arijit Kundu

In stacks of two-dimensional crystals, mismatch of their lattice constants and misalignment of crystallographic axes lead to formation of moir\'{e} patterns. We show that moir\'{e} superlattice effects persist in twisted bilayer graphene…

We study Berry phase effects on conductance properties of diffusive mesoscopic conductors, which are caused by an electron spin moving through an orientationally inhomogeneous magnetic field. Extending previous work, we start with an exact,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Hans-Andreas Engel , Daniel Loss

Non-Abelian gauge fields, characterized by their non-commutative symmetry groups, shape physical laws from the Standard Model to emergent topological matter for quantum computation. Here we find that moir\'e exciton dimers (biexcitons) in…

Mesoscale and Nanoscale Physics · Physics 2026-02-25 Haochen Wang , Wang Yao

We develop a diagrammatic perturbation theory to account for the emergence of moir\'e bands in the continuum model of twisted bilayer graphene. Our framework is build upon treating the moir\'e potential as a perturbation that transfers…

Mesoscale and Nanoscale Physics · Physics 2024-07-30 Federico Escudero

The low-temperature phase diagram of multilayer graphene heterostructures is largely defined by the exchange-driven instability that lifts the four-fold isospin degeneracy. Such instability gives rise to the quarter- and half-metal phases,…

Mesoscale and Nanoscale Physics · Physics 2023-03-02 Jiang-Xiazi Lin , Yibang Wang , Naiyuan J. Zhang , Kenji Watanabe , Takashi Taniguchi , Liang Fu , J. I. A. Li

We present a comprehensive dynamical mean field study of the triangular lattice moir\'e Hubbard model, which is believed to represent the physics of moir\'e bilayer transition metal dichalcogenides. In these materials, important aspects of…

Strongly Correlated Electrons · Physics 2022-06-28 Jiawei Zang , Jie Wang , Jennifer Cano , Antoine Georges , Andrew J. Millis

It has recently been demonstrated that various topological states, including Dirac, Weyl, nodal-line, and triple-point semimetal phases, can emerge in antiferromagnetic (AFM) half-Heusler compounds. However, how to determine the AFM…

Mesoscale and Nanoscale Physics · Physics 2021-05-03 Cheng Chen , Huaiqiang Wang , Zhilong Yang , Haijun Zhang

Moir\'e patterns on Highly Oriented Pyrolytic Graphite surfaces due to dislocated graphene layers were studied. We observed that the apparent corrugations of the moir\'e patterns in scanning tunnelling microscopy images change as a function…

Mesoscale and Nanoscale Physics · Physics 2015-02-04 Dilek Yıldız , H. Şener Şen , Oğuz Gülseren , Oğuzhan Gürlü

We study a one-dimensional antiferromagnetic-elastic model with magnetic ions having spin $S=3/2$. By extensive DMRG computations and complementary analytical methods, we uncover a first-order transition from a homogeneous or…

Strongly Correlated Electrons · Physics 2025-09-15 C. J. Gazza , A. A. Aligia , A. O. Dobry , G. L. Rossini , D. C. Cabra

In Bernal stacked bilayer graphene interlayer coupling significantly affects the electronic bandstructure compared to monolayer graphene. Here we present magnetotransport experiments on high-quality $n$-doped bilayer MoS$_{2}$. By measuring…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 Riccardo Pisoni , Tim Davatz , Kenji Watanabe , Takashi Taniguchi , Thomas Ihn , Klaus Ensslin

Moir\'e superlattices are generally assumed to act only at the interface where lattice mismatch or twist occurs. Here, we study charge transport in large-angle helical twisted trilayer graphene, where interlayer tunneling is strongly…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Dohun Kim , Junsik Choe , Takashi Taniguchi , Kenji Watanabe , Gil Young Cho , Youngwook Kim

We consider the role of deformations in graphene heterostructures with hexagonal crystals (including strain, wrinkles and dislocations) on the geometrical properties of moire patterns characteristic for a pair of two incommensurate…

Mesoscale and Nanoscale Physics · Physics 2014-10-27 Diana A. Cosma , John R. Wallbank , Vadim Cheianov , Vladimir I. Fal'ko

The Berry phase and the group-velocity-based traversal time have been calculated for an asymmetric non-contacted or contacted graphene structure, and significant differences have been observed compared to semiconductor heterostructures.…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Daniela Dragoman

We present an ab initio approach for the calculation of phonon self-energies and their fluctuation diagnostics, which allows us to identify the electronic processes behind phonon anomalies. Application to the transition-metal-dichalcogenide…

Strongly Correlated Electrons · Physics 2021-11-04 Jan Berges , Erik G. C. P. van Loon , Arne Schobert , Malte Rösner , Tim O. Wehling