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Twisted bilayer graphene (TBG) is a recently discovered two-dimensional superlattice structure which exhibits strongly-correlated quantum many-body physics, including strange metallic behavior and unconventional superconductivity. Most of…

介观与纳米尺度物理 · 物理学 2024-04-22 Cunyuan Jiang , Matteo Baggioli , Qing-Dong Jiang

We present efficient angle-dependent low-energy Hamiltonians to describe the properties of the twisted bilayer graphene (tBLG) heterostructure, based on {\it ab initio} calculations of mechanical relxation and electronic structure. The…

介观与纳米尺度物理 · 物理学 2019-08-02 Shiang Fang , Stephen Carr , Ziyan Zhu , Daniel Massatt , Efthimios Kaxiras

We build symmetry adapted maximally localized Wannier states, and construct the low energy tight binding model for the four narrow bands of the twisted bilayer graphene. We do so when the twist angle is commensurate, near the `magic' value,…

强关联电子 · 物理学 2018-10-02 Jian Kang , Oskar Vafek

We benchmark the recently proposed projection method [Phys. Rev. B 111, 205133 (2025)] for magic-angle twisted bilayer graphene (MATBG) across various symmetry-breaking phases at charge neutrality. The flat-band projected solutions agree…

介观与纳米尺度物理 · 物理学 2026-02-09 Miguel Sánchez Sánchez , Tobias Stauber

The electronic properties of van der Waals (vdW) structures can be substantially modified by the moire superlattice potential, which strongly depends on the twist angle among the compounds. In twisted bilayer graphene (TBG), two low-energy…

材料科学 · 物理学 2020-12-02 Ya-Ning Ren , Yu Zhang , Yi-Wen Liu , Lin He

We demonstrate a photonic analog of twisted bilayer graphene that has ultra-flat photonic bands and exhibits extreme slow light behavior. Our twisted bilayer photonic device, which has an operating wavelength in C-band of the telecom…

光学 · 物理学 2021-03-26 Haoning Tang , Fan Du , Stephen Carr , Clayton DeVault , Olivia Mello , Eric Mazur

Moir\'e materials, and in particular twisted bilayer graphene (TBG), exhibit a range of fascinating phenomena, that emerge from the interplay of band topology and interactions. We show that the non-linear second-order photoresponse is an…

介观与纳米尺度物理 · 物理学 2021-07-21 Swati Chaudhary , Cyprian Lewandowski , Gil Refael

Understanding and tuning correlated states is of great interest and significance to modern condensed matter physics. The recent discovery of unconventional superconductivity and Mott-like insulating states in magic-angle twisted bilayer…

We propose Landau levels as a probe for the topological character of electronic bands in two-dimensional moir\'e superlattices. We consider two configurations of twisted double bilayer graphene (TDBG) that have very similar band structures,…

介观与纳米尺度物理 · 物理学 2021-02-10 QuanSheng Wu , Jianpeng Liu , Oleg V. Yazyev

An analytical method for the visualization and prediction of trapped-mode resonances based on the dimensions of a dispersive microwave network is described. The method as explained is intuitive, easy to implement, and has proven itself to…

天体物理仪器与方法 · 物理学 2012-12-14 Matthew A. Morgan , Shing-Kuo Pan

We consider a general model of two atomic chains forming a moir\'{e} pattern due to a small mismatch in their lattice spacings, given by $\theta = (a_{1} - a_{2})/a_{2}$. Assuming arbitrary single-band dispersion relations…

强关联电子 · 物理学 2025-02-26 Dmitrii Vorobev , Yiheng Chen , Grigory M. Tarnopolsky

We present a $GW$ space-time algorithm for periodic systems in a Gaussian basis including spin-orbit coupling. We employ lattice summation to compute the irreducible density response and the self-energy, while we employ $k$-point sampling…

Twisted bilayer graphene (TBG) has elements in common with two paradigmatic examples of strongly correlated physics: quantum Hall physics and Hubbard physics. On one hand, TBG hosts flat topological Landau-level-like bands which exhibits…

强关联电子 · 物理学 2026-05-29 Patrick J. Ledwith , Junkai Dong , Ashvin Vishwanath , Eslam Khalaf

We generalize the continuum model for Moir\'e structures made from twisted graphene layers, in order to include lattice relaxation and the formation of channels at very small (marginal) twist angles. We show that a precise description of…

强关联电子 · 物理学 2020-02-19 Niels R. Walet , Francisco Guinea

We present a systematic accuracy assessment of the thin-element approximation (TEA), the beam propagation method (BPM), and the wave propagation method (WPM) for binary diffractive gratings, using the rigorous Fourier modal method (FMM) as…

光学 · 物理学 2026-05-12 Nicolas Barré

Twisted van der Waals heterostructures have recently been proposed as a condensed-matter platform for realizing controllable quantum models due to the low-energy moir\'e bands with specific charge distributions in moir\'e superlattices.…

By virtue of being atomically thin, the electronic properties of heterostructures built from two-dimensional materials are strongly influenced by atomic relaxation. The atomic layers behave as flexible membranes rather than rigid crystals.…

强关联电子 · 物理学 2025-01-07 Mohammed M. Al Ezzi , Gayani N. Pallewela , Christophe De Beule , E. J. Mele , Shaffique Adam

We show that intervalley coupling can be induced in twisted bilayer graphene (TBG) by aligning the bottom graphene layer with either of two types of commensurate insulating triangular Bravais lattice substrate. The intervalley coupling…

介观与纳米尺度物理 · 物理学 2026-04-07 Bo-Ting Chen , Michael G. Scheer , Biao Lian

We present a comprehensive theoretical study of the topological surface states (TSS) of Bi$_2$Se$_3$, a 3D topological insulator, epitaxially grown on twisted bilayer graphene (tBG). The moir\'e potential induced by tBG folds the TSS Dirac…

介观与纳米尺度物理 · 物理学 2025-05-06 Yoonkang Kim

The electronic properties of twisted bilayer graphene (TBG) can be dramatically different from those of a single graphene layer, in particular when the two layers are rotated relative to each other by a small angle. TBG has recently…