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Motivated by recent experiments on Mott insulators, in both iridates and ultracold atoms, we theoretically study the effects of magnetic order on the Mott-Hubbard excitons. In particular, we focus on spin-mediated doublon-holon pairing in…

Strongly Correlated Electrons · Physics 2024-04-23 T. -S. Huang , C. L. Baldwin , M. Hafezi , V. Galitski

We propose that the electronic structure of twisted bilayer graphene (TBG) can be understood as Dirac fermions coupled with opposite pseudo magnetic fields generated by the moir\'e pattern. The two low-energy flat bands from each monolayer…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 Jianpeng Liu , Junwei Liu , Xi Dai

In magic angle twisted bilayer graphene, transport, thermodynamic and spectroscopic experiments pinpoint at a competition between distinct low-energy states with and without electronic order. We use Dynamical Mean Field Theory (DMFT) on the…

We develop a weak coupling approach to superconductivity in twisted bilayer graphene, starting from the Fermi liquid regime. A key observation is that near half filling, the fermiology consists of well nested Fermi pockets derived from…

Strongly Correlated Electrons · Physics 2022-01-25 Yi-Zhuang You , Ashvin Vishwanath

We argue that moir\'e bilayer graphene at charge neutrality hosts a continuous semimetal-to-insulator quantum phase transition that can be accessed experimentally by tuning the twist angle between the two layers. For small twist angles near…

Mesoscale and Nanoscale Physics · Physics 2025-07-10 Jan Biedermann , Lukas Janssen

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…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 Zhiming Zhang , Rachel Myers , Kenji Watanabe , Takashi Taniguchi , Brian J. LeRoy

The electronic properties of Mott insulators realized in (111) bilayers of perovskite transition-metal oxides are studied. The low-energy effective Hamiltonians for such Mott insulators are derived in the presence of a strong spin-orbit…

Strongly Correlated Electrons · Physics 2015-06-11 Satoshi Okamoto

We present a theory of superconductivity in magic-angle twisted bilayer graphene and analyze the superconducting phase diagram in presence of the magnetic field. Namely, we consider a model of a granular array hosting localized states,…

Superconductivity · Physics 2023-03-21 SK Firoz Islam , A. Yu. Zyuzin , Alexander A. Zyuzin

The spectrum of the strongly correlated systems usually shows resonant peaks at finite energy, with examples in the 115 Ce family which are reproduced by the dynamical mean-field theory. A similar structure has been seen recently in the…

Strongly Correlated Electrons · Physics 2019-04-02 Yashar Komijani , Karen Hallberg , Gabriel Kotliar

Twisted bilayer MoTe$_2$ is a promising platform to investigate the interplay between band topology and many-body interaction. We present a theoretical study of its interaction-driven quantum phase diagrams based on a three-orbital model,…

Mesoscale and Nanoscale Physics · Physics 2023-11-16 Wen-Xuan Qiu , Bohao Li , Xun-Jiang Luo , Fengcheng Wu

Ground state properties of multi-orbital Hubbard models are investigated by the auxiliary field quantum Monte Carlo method. A Monte Carlo technique generalized to the multi-orbital systems is introduced and examined in detail. The algorithm…

Strongly Correlated Electrons · Physics 2009-10-31 Yukitoshi Motome , Masatoshi Imada

We present the influence of spin correlation on the metal-insulator transitions (MIT) in two-orbital Hubbard models by the Kotliar-Ruckenstein slave-boson approach. In the asymmetric half-filling situation, the two orbits simultaneously…

Strongly Correlated Electrons · Physics 2015-03-19 Ya-Min Quan , Liang-Jian Zou , Hai-Qing Lin

Magnetic properties of Hubbard model have been studied extensively. A theoretical description of these states, however, is not straight forward within conventional mean-field approach due to the electron correlation effects. Here we provide…

Strongly Correlated Electrons · Physics 2023-05-09 Jiasheng Qian , Zhiguang Liao , Rong Yu

We introduce a strongly correlated mean-field theory of the ionic Hubbard model on the triangular lattice with alternating stripes of site energy using Barnes-Coleman slave bosons. We study the paramagnetic phases of this theory at three…

Strongly Correlated Electrons · Physics 2013-05-29 B. J. Powell , J. Merino , Ross H. McKenzie

We theoretically study the electronic structure of magic-angle twisted bilayer graphene with disordered moir\'e patterns. By using an extended continuum model incorporating non-uniform lattice distortion, we find that the local density of…

Mesoscale and Nanoscale Physics · Physics 2022-06-29 Naoto Nakatsuji , Mikito Koshino

We present a comprehensive study of the 2D one-band Hubbard model applying the spin rotation invariant slave-boson method. We utilize a spiral magnetic mean field and fluctuations around a paramagnetic mean field to determine the magnetic…

Strongly Correlated Electrons · Physics 2020-07-01 David Riegler , Michael Klett , Titus Neupert , Ronny Thomale , Peter Wölfle

In a groundbreaking experimental advance it was recently shown that by stacking two sheets of graphene atop of each other at a twist angle close to one of the so called "magic angles", an effective two-dimensional correlated system emerges.…

Mesoscale and Nanoscale Physics · Physics 2019-10-01 Lede Xian , Dante M. Kennes , Nicolas Tancogne-Dejean , Massimo Altarelli , Angel Rubio

The recent experimental studies of twisted bilayer graphene (TBG) raise a fundamental question: how do we understand Mott localization in a topological band? In this work, we offer a new perspective of Mott physics, which can be generalized…

Strongly Correlated Electrons · Physics 2025-05-20 Jing-Yu Zhao , Boran Zhou , Ya-Hui Zhang

At a discrete set of magic angles, twisted bilayer graphene has been shown to host extraordinarily flat bands, correlated insulating states, unconventional superconductivity, and distinct Landau level degeneracies. In this work, we design a…

Mesoscale and Nanoscale Physics · Physics 2021-10-04 Ayush Singh , Colin Benjamin

Twisted bilayer graphene (TBG) with interlayer twist angles near the magic angle $\approx 1.08^{\circ}$ hosts flat bands and exhibits correlated states including Mott-like insulators, superconductivity and magnetism. Here we report combined…