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The calculations of electronic transport coefficients and optical properties require a very dense interpolation of the electronic band structure in reciprocal space that is computationally expensive and may have issues with band crossing…

We establish non-Hermitian topological mechanics in one dimensional (1D) and two dimensional (2D) lattices consisting of mass points connected by meta-beams that lead to odd elasticity. Extended from the "non-Hermitian skin effect" in 1D…

Soft Condensed Matter · Physics 2020-05-19 Di Zhou , Junyi Zhang

A systematic approach for deriving tight-binding approximations in general longitudinally driven lattices is presented. As prototypes, honeycomb and staggered square lattices are considered. Time-reversal symmetry is broken by…

Pattern Formation and Solitons · Physics 2017-11-08 Mark J. Ablowitz , Justin T. Cole

Interactions between stacked two-dimensional (2D) atomic crystals can radically change their properties, leading to essentially new materials in terms of the electronic structure. Here we show that monolayers placed on an atomically flat…

First-principles electronic structure calculations have been very useful in understanding some of the properties of the new iron-based superconductors. Further explorations of the role of the individual atomic orbitals in explaining various…

Superconductivity · Physics 2010-08-05 D. A. Papaconstantopoulos , M. J. Mehl , M. D. Johannes

Solid state physics deals with systems composed of atoms with strongly bound electrons. The tunneling probability of each electron is determined by interactions that typically extend to neighboring sites, as their corresponding wave…

Materials Science · Physics 2019-11-27 F. Ramírez-Ramírez , E. Flores-Olmedo , G. Báez , E. Sadurní , R. ~A. Méndez-Sánchez

Van der Waals materials enable the construction of atomically sharp interfaces between compounds with distinct crystal and electronic properties. This is dramatically exploited in moir\'e systems, where a lattice mismatch or twist between…

We propose a method to generate a real-energy flat band in a two-dimensional (2D) non-Hermitian Lieb lattice. The coincidence of the flat band eigenstate in both real and momentum spaces is essential for the proposed flat band, which is…

Quantum Physics · Physics 2019-10-10 S. M. Zhang , L. Jin

We present the appearance of nearly flat band states with nonzero Chern numbers in a two-dimensional "diamond-octagon" lattice model comprising two kinds of elementary plaquette geometries, diamond and octagon, respectively. We show that…

Strongly Correlated Electrons · Physics 2018-12-17 Biplab Pal

In spatially periodic Hermitian systems, such as electronic systems in crystals, the band structure is described by the band theory in terms of the Bloch wave functions, which reproduce energy levels for large systems with open boundaries.…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 Kazuki Yokomizo , Shuichi Murakami

We investigate graphene superlattices of nitrogen and boron substitutional defects and by using symmetry arguments and electronic structure calculations we show how such superlattices can be used to modify graphene band structure.…

Materials Science · Physics 2016-11-25 Simone Casolo , Rocco Martinazzo , Gian Franco Tantardini

We present a tight-binding parametrization for penta-graphene that correctly describes its electronic band structure and linear optical response. The set of parameters is validated by comparing to ab-initio density functional theory…

Materials Science · Physics 2020-12-25 Sergio Bravo , J. D. Correa , Leonor Chico , M. Pacheco

We address the problem of barrier tunneling in the two-dimensional T_3 lattice (dice lattice). In particular we focus on the low-energy, long-wavelength approximation for the Hamiltonian of the system, where the lattice can be described by…

Mesoscale and Nanoscale Physics · Physics 2011-09-29 D. F. Urban , D. Bercioux , M. Wimmer , W. Häusler

We present optimized tight-binding models with atomic orbitals to improve \textit{ab initio} tight-binding models constructed by truncating full density functional theory (DFT) Hamiltonian based on localized orbitals. Retaining qualitative…

Mesoscale and Nanoscale Physics · Physics 2024-02-20 Sejoong Kim

We present the symmetry labelling of all electron bands in graphene obtained by combining numerical band calculations and analytical analysis based on group theory. The latter was performed both in the framework of the (nearly) free…

Mesoscale and Nanoscale Physics · Physics 2021-03-19 Eugene Kogan , Vyacheslav M. Silkin

We use realistic pseudopotentials and a plane-wave basis to study the electronic structure of non-periodic, three-dimensional, 2000-atom (AlAs)_n/(GaAs)_m (001) superlattices, where the individual layer thicknesses n,m = {1,2,3} are…

mtrl-th · Physics 2016-09-07 K. A. Mader , L. -W. Wang , A. Zunger

We construct quasi one-dimensional topological and non-topological three-band lattices with tunable band gap and winding number of the flat band. Using mean field (MF) and exact density matrix renormalization group (DMRG) calculations, we…

Superconductivity · Physics 2022-10-11 Si Min Chan , B. Grémaud , G. G. Batrouni

We develop an effective medium approach to characterize the propagation of matter waves in periodic structures, such as graphene or semiconductor superlattices. It is proven that the time evolution of the states that are not more localized…

Materials Science · Physics 2015-06-04 Mario Silveirinha , Nader Engheta

In typical flat-band models, defined as nearest-neighbor tight-binding models, flat bands are usually pinned to the special energies, such as top or bottom of dispersive bands, or band-crossing points. In this paper, we propose a simple…

Strongly Correlated Electrons · Physics 2019-06-12 Tomonari Mizoguchi , Masafumi Udagawa

Moir\'e superlattices have emerged as a versatile platform for exploring a wide range of ex- otic quantum phenomena. Unlike angstrom-scale materials, the moir\'e length-scale system contains a large number of atoms, and its electronic…

Materials Science · Physics 2025-11-10 Xueheng Kuang , Federico Escudero , Pierre A. Pantaleón , Francisco Guinea , Zhen Zhan
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