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Rhombohedral-stacked multilayer graphene aligned with hexagonal boron nitride has emerged as an excellent platform for investigating exotic quantum phenomena arising from the interplay between electron correlations and nontrivial topology.…

Rhombohedral graphite features peculiar electronic properties, including persistence of low-energy surface bands of a topological nature. Here, we study the contribution of electron-hole excitations towards inelastic light scattering in…

介观与纳米尺度物理 · 物理学 2019-09-13 A. Garcia-Ruiz Fuentes , S. Slizovskiy , M. Mucha-Kruczynski , V. I. Fal'ko

We investigate the adsorption of graphene sheets on h-BN substrates by means of first-principles calculations in the framework of adiabatic connection fluctuation-dissipation theory in the random phase approximation. We obtain adhesion…

介观与纳米尺度物理 · 物理学 2011-12-14 B. Sachs , T. O. Wehling , M. I. Katsnelson , A. I. Lichtenstein

We classify all possible 36 gap-opening instabilities in graphene-like structures in two dimensions, i.e., masses of Dirac Hamiltonian when the spin, valley, and superconducting channels are included. These 36 order parameters break up into…

强关联电子 · 物理学 2010-01-11 Shinsei Ryu , Christopher Mudry , Chang-Yu Hou , Claudio Chamon

Regular nanoscale perforations in graphene (graphene antidot lattices, GAL) are known to lead to a gap in the energy spectrum, thereby paving a possible way towards many applications. This theoretical prediction relies on a perfect…

介观与纳米尺度物理 · 物理学 2015-06-12 Shengjun Yuan , Rafael Roldán , Antti-Pekka Jauho , M. I. Katsnelson

We report on a fully self-consistent Hartree-Fock calculation of interaction effects on the Moir\'e flat bands of twisted bilayer graphene, assuming that valley U(1) symmetry is respected. We use realistic band structures and interactions…

强关联电子 · 物理学 2021-10-06 Shang Liu , Eslam Khalaf , Jong Yeon Lee , Ashvin Vishwanath

The density of states (DoS), $\varrho(E)$, of graphene is investigated numerically and within the self-consistent T-matrix approximation (SCTMA) in the presence of vacancies within the tight binding model. The focus is on compensated…

介观与纳米尺度物理 · 物理学 2014-11-07 V. Haefner , J. Schindler , N. Weik , T. Mayer , S. Balakrishnan , R. Narayanan , S. Bera , F. Evers

We study graphene with an adsorbed spin texture, where the localized spins create a periodic magnetic flux. The latter produces gaps in the graphene spectrum and breaks the valley symmetry. The resulting effective electronic model, which is…

材料科学 · 物理学 2011-03-31 Antonio Hill , Andreas Sinner , Klaus Ziegler

A tight binding model is used to calculate the band structure of bilayer graphene in the presence of a potential difference between the layers that opens a gap $\Delta$ between the conduction and valence bands. In particular, a self…

介观与纳米尺度物理 · 物理学 2009-11-11 Edward McCann

We use self-consistent Hartree-Fock calculations performed in the full $\pi$-band Hilbert space to assess the nature of the recently discovered correlated insulator states in magic-angle twisted bilayer graphene (TBG). We find that gaps…

强关联电子 · 物理学 2020-03-11 Ming Xie , Allan H. MacDonald

Topologically non-trivial states characterized by Berry curvature appear in a number of materials ranging from spin-orbit-coupling driven topological insulators to graphene. In multivalley conductors, such as mono- and bilayer graphene,…

介观与纳米尺度物理 · 物理学 2019-12-20 Sergey Slizovskiy , Edward McCann , Mikito Koshino , Vladimir I. Fal'ko

With the two-band continuum model, we study the broken inversion and time-reversal symmetry state of electrons with finite-range repulsive interactions in bilayer graphene. With the analytical solution to the mean-field Hamiltonian, we…

强关联电子 · 物理学 2012-12-19 Xin-Zhong Yan , C. S. Ting

Graphene is a quantum spin Hall insulator with a 45 $\mu$eV wide non-trivial topological gap induced by the intrinsic spin-orbit coupling. Even though this zero-field spin splitting is weak, it makes graphene an attractive candidate for…

We perform a multi-band exact diagonalization (ED) study of rhombohedral pentalayer graphene twisted on hexagonal boron nitride with a focus on fractional Chern insulators (FCI) in systems with weak moir\'e gaps, complementing the results…

强关联电子 · 物理学 2025-08-26 Heqiu Li , B. Andrei Bernevig , Nicolas Regnault

In this study, we determined the chiral direction of the quantum-Hall (QH) edge states in graphene by adopting simple two-terminal conductance measurements while grounding different edge positions of the sample. The edge state with a…

介观与纳米尺度物理 · 物理学 2012-03-05 Dong-Keun Ki , Sanghyun Jo , Hu-Jong Lee

We present an \textit{ab initio} study based on density-functional theory of first- and second-order Raman spectra of graphene-based materials with different stacking arrangements and numbers of layers. Going from monolayer and bilayer…

材料科学 · 物理学 2018-06-18 Albin Hertrich , Caterina Cocchi , Pasquale Pavone , Claudia Draxl

The emerging interest in van der Waals heterostructures as new materials for opto-electronics and photonics poses questions about their stability and structure-property relations. In the framework of density-functional and many-body…

Rhombohedral multilayer graphene (RMG) proximity-coupled to a Haldane substrate provides a platform to investigate the interplay between band topology, layer number, and electric-field control of orbital magnetism. Using a tight-binding…

介观与纳米尺度物理 · 物理学 2026-03-10 Sovan Ghosh , Bheema Lingam Chittari

The experimentally observed correlated insulating states and quantum anomalous Hall (QAH) effect in twisted bilayer graphene (TBG) have drawn significant attention. However, up to date, the specific mechanisms of these intriguing phenomena…

强关联电子 · 物理学 2021-01-27 Jianpeng Liu , Xi Dai

Graphene bilayers can condense into a state with spontaneous interlayer phase coherence that supports dissipationless counterflow supercurrents. Here we address the influence of disorder on the graphene bilayer mean-field and…

介观与纳米尺度物理 · 物理学 2009-11-13 R. Bistritzer , A. H. MacDonald