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The ground state phase diagram of the half-filled repulsive Hubbard model in a bilayer is investigated using cluster dynamical mean field theory. For weak to intermediate values of Coulomb repulsion $U$, the system undergoes a transition…

强关联电子 · 物理学 2009-11-13 S. S. Kancharla , S. Okamoto

Recent experiments on twisted bilayer graphene show the urgent need for establishing a low-energy lattice model for the system. We use the constrained random phase approximation to study the interaction parameters of such models taking into…

强关联电子 · 物理学 2020-08-05 Tuomas I. Vanhala , Lode Pollet

The ground states of twisted bilayer graphene (TBG) at chiral and flat-band limit with integer fillings are known from exact solutions, while their dynamical and thermodynamical properties are revealed by unbiased quantum Monte Carlo (QMC)…

强关联电子 · 物理学 2024-03-15 Cheng Huang , Xu Zhang , Gaopei Pan , Heqiu Li , Kai Sun , Xi Dai , Ziyang Meng

Magic-angle twisted bilayer graphene (MATBG) is notable as a highly tunable platform for investigating strongly correlated phenomena such as high-$T_c$ superconductivity and quantum spin liquids, due to easy control of doping level through…

介观与纳米尺度物理 · 物理学 2020-06-04 Xiao Chen , Shuanglong Liu , James N Fry , Hai-Ping Cheng

The generalized tight-binding model is developed to investigate the magneto-electronic properties in twisted bilayer graphene system. All the interlayer and intralayer atomic interactions are included in the Moire superlattice. The twisted…

介观与纳米尺度物理 · 物理学 2019-07-23 Chiun-Yan Lin , Ming-Fa Lin

We investigate correlated insulating states in magic-angle twisted bilayer graphene (TBG) by the exact diagonalization method applied to the extended Hubbard model with interaction parameters recently evaluated in the realistic effective…

强关联电子 · 物理学 2018-08-08 Masayuki Ochi , Mikito Koshino , Kazuhiko Kuroki

The potential of graphene-based materials consisting of one or a few layers of graphite for integrated electronics originates from the large room-temperature carrier mobility in these systems (approx. 10,000 cm2/Vs). However, the…

介观与纳米尺度物理 · 物理学 2007-12-04 Jeroen B. Oostinga , Hubert B. Heersche , Xinglan Liu , Alberto F. Morpurgo , Lieven M. K. Vandersypen

The correlated insulator (CI) states and the recently discovered density wave (DW) states in magic-angle twisted bilayer graphene (TBG) have stimulated intense research interest. However, up to date, the nature of these "featureless"…

强关联电子 · 物理学 2022-06-22 Shihao Zhang , Xin Lu , Jianpeng Liu

We present a systematic study of the low-energy collective modes for different insulating states at integer fillings in twisted bilayer graphene. In particular, we provide a simple counting rule for the total number of soft modes, and…

强关联电子 · 物理学 2020-10-28 Eslam Khalaf , Nick Bultinck , Ashvin Vishwanath , Michael P. Zaletel

Moir\'e systems displaying flat bands have emerged as novel platforms to study correlated electron phenomena. Insulating and superconducting states appear upon doping magic angle twisted bilayer graphene (TBG), and there is evidence of…

强关联电子 · 物理学 2021-05-17 M. J. Calderón , E. Bascones

We study the correlated ground states of twisted mono-bilayer graphene with and without proximity-induced spin-orbit coupling (SOC) from a transition-metal dichalcogenide layer placed on top. We perform self-consistent Hartree-Fock…

介观与纳米尺度物理 · 物理学 2026-03-12 Jeyong Park , Mingdi Luo , Louk Rademaker , Jurgen Smet , Mathias S. Scheurer , Laura Classen

We propose a phenomenological understanding of the recently discovered weak Mott insulator in the moir\'e superlattice of twisted bilayer graphene, especially the emergent superconductivity at low temperature within the weak Mott insulator…

强关联电子 · 物理学 2018-05-21 Xiao-Chuan Wu , Kelly Ann Pawlak , Chao-Ming Jian , Cenke Xu

We review analytical and numerical studies of correlated insulating states in twisted bilayer graphene, focusing on real-space lattice models constructions and their unbiased quantum many-body solutions. We show that by constructing…

强关联电子 · 物理学 2021-01-12 Yuan Da Liao , Xiao Yan Xu , Zi Yang Meng , Jian Kang

Correlated insulators are frequently observed in magic angle twisted bilayer graphene at even fillings of electrons or holes per moir\'e unit-cell. Whereas theory predicts these insulators to be intervalley coherent excitonic phases, the…

介观与纳米尺度物理 · 物理学 2023-02-15 Gal Shavit , Kryštof Kolář , Christophe Mora , Felix von Oppen , Yuval Oreg

Experimental realizations of Abelian fractional Chern insulators (FCIs) have demonstrated the potentials of moir\'e systems in synthesizing exotic quantum phases. Remarkably, twisted multilayer graphene system may also host non-Abelian…

强关联电子 · 物理学 2025-07-15 Sen Niu , Yang Peng , D. N. Sheng

Using scanning probe microscopy and spectroscopy, we explore the spatial symmetry of the electronic wavefunctions of twisted bilayer graphene at the "magic angle" of 1.1 degrees. This small twist angle leads to a long wavelength moir\'e…

介观与纳米尺度物理 · 物理学 2020-08-12 Zhiming Zhang , Rachel Myers , Kenji Watanabe , Takashi Taniguchi , Brian J. LeRoy

Twisted bilayer graphene (TBG) is remarkable for its topological flat bands, which drive strongly-interacting physics at integer fillings, and its simple theoretical description facilitated by the Bistritzer-MacDonald Hamiltonian, a…

强关联电子 · 物理学 2022-08-10 Jonah Herzog-Arbeitman , Aaron Chew , Dmitri K. Efetov , B. Andrei Bernevig

We investigate the potential existence of a superconducting phase in $5d$ Mott insulators with an eye to hole doped Sr$_2$IrO$_4$. Using a mean-field method, a mixed singlet-triplet superconductivity, $d + p$, is observed due to the…

超导电性 · 物理学 2019-01-30 Mohammad-Hossein Zare , Mehdi Biderang , Alireza Akbari

Magic-Angle Twisted Bilayer Graphene shows a wide range of correlated phases which are electrostatically tunable. Despite a growing knowledge of the material, there is yet no consensus on the microscopic mechanisms driving its…

The salient property of the electronic band structure of twisted bilayer graphene (TBG), at the so-called magic angle (MA), is the emergence of flat bands around the charge neutrality point. These bands are associated with the observed…

介观与纳米尺度物理 · 物理学 2023-09-04 Sonia Haddad , Takeo Kato , Jihang Zhu , Lassaad Mandhour