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The recent discovery of correlated insulator states and superconductivity in magic-angle twisted bilayer graphene has paved the way to the experimental investigation of electronic correlations in tunable flat band systems realized in…

A major hurdle in understanding the phase diagram of twisted bilayer graphene (TBLG) are the roles of lattice relaxation and electronic structure on isolated band flattening near magic twist angles. In this work, the authors develop an…

Mesoscale and Nanoscale Physics · Physics 2024-03-28 Shivesh Pathak , Tawfiqur Rakib , Run Hou , Andriy Nevidomskyy , Elif Ertekin , Harley T. Johnson , Lucas K. Wagner

Heavy fermion systems, traditionally realized in rare-earth compounds with limited tunability, have hindered systematic exploration of correlated quantum phenomena. Here, we introduce a general strategy for engineering heavy fermions in…

Strongly Correlated Electrons · Physics 2025-06-30 Yuchen Gao , Wenjie Zhou , Fan Yang , Zhijie Ma , Hansheng Xu , Xinyue Huang , Kenji Watanabe , Takashi Taniguchi , Youguo Shi , Yu Ye

By combining conventional finite-temperature many-body perturbation theory with cluster expansions, we develop a systematic method to carry out high order arbitrary temperature perturbative calculations on the computer. The method is well…

Strongly Correlated Electrons · Physics 2009-10-30 Norbert Elstner , Rajiv. R. P. Singh

We develop a perturbative renormalization group (RG) theory for the topological heavy fermion (THF) model, describing magic-angle twisted bilayer graphene (MATBG) as an emergent Anderson lattice. Our theory focuses on an energy window where…

Strongly Correlated Electrons · Physics 2026-01-21 Yi Huang , Yang-Zhi Chou , Sankar Das Sarma

We calculate the effective electromagnetic Lagrangian up to the lowest-order corrections in the derivatives for two fermionic systems of interest in condensed matter physics in the linearized approximation of the tight-binding Hamiltonian…

High Energy Physics - Theory · Physics 2025-04-01 R. Martínez von Dossow , Luis F. Urrutia

Gated heterostructures containing bilayer graphene with staggered sublattice potentials are investigated by tight binding model with Rashba spin-orbital coupling and Hubbard interaction. The topological phase diagrams depend on the…

Mesoscale and Nanoscale Physics · Physics 2018-09-05 Ma Luo , Zhibing Li

Identifying the microscopic processes that limit conductivity is essential for understanding correlated and quantum-critical states in quantum materials. In twisted bilayer graphene (TBG) and other twist-controlled materials, the…

We investigate theoretically the low-temperature physics of a two-component ultracold mixture of bosons and fermions in disordered optical lattices. We focus on the strongly correlated regime. We show that, under specific conditions,…

Other Condensed Matter · Physics 2007-05-23 L. Sanchez-Palencia , V. Ahufinger , A. Kantian , Jakub Zakrzewski , A. Sanpera , M. Lewenstein

Magic-angle twisted bilayer graphene has recently become a thriving material platform realizing correlated electron phenomena taking place within its topological flat bands. Several numerical and analytical methods have been applied to…

Strongly Correlated Electrons · Physics 2021-09-17 Bin-Bin Chen , Yuan Da Liao , Ziyu Chen , Oskar Vafek , Jian Kang , Wei Li , Zi Yang Meng

A study of correlation effects in twisted bilayer graphene, using the extended coupled cluster method, is presented. This approach considers both self-consistent mean-field and beyond mean-field contributions, and can describe phase…

Strongly Correlated Electrons · Physics 2026-03-20 Ingvars Vitenburgs , Niels R. Walet

In this work, we propose a new and simple model that supports Chern semimetals. These new gapless topological phases share several properties with the Chern insulators like a well-defined Chern number associated to each band, topologically…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 Giandomenico Palumbo , Konstantinos Meichanetzidis

Bilayer graphene is a recently isolated and intriguing class of many-body systems with massive chiral quasiparticles. We present theoretical results for the electronic compressibility of bilayer graphene that are based on a four-band…

Mesoscale and Nanoscale Physics · Physics 2010-10-06 Giovanni Borghi , Marco Polini , Reza Asgari , A. H. MacDonald

We develop an effective theory for heavy baryons and their excited states. The approach is based on the contracted O(8) symmetry recently shown to emerge from QCD for these states in the combined large N_c and heavy quark limits. The…

High Energy Physics - Phenomenology · Physics 2010-11-19 Chi-Keung Chow , Thomas D. Cohen , Boris A. Gelman

Electron-electron interactions are intrinsically long ranged, but many models of strongly interacting electrons only take short-ranged interactions into account. Here, we present results of atomistic calculations including both long-ranged…

Strongly Correlated Electrons · Physics 2021-05-19 Lennart Klebl , Zachary A. H. Goodwin , Arash A. Mostofi , Dante M. Kennes , Johannes Lischner

Non-Fermi liquids arise when strong interactions destroy stable fermionic quasiparticles. The simplest models featuring this phenomenon involve a Fermi surface coupled to fluctuating gapless bosonic order parameter fields, broadly referred…

Strongly Correlated Electrons · Physics 2024-07-09 Zhengyan Darius Shi

We propose a tight binding model for the quantum spin Hall system on triangular optical lattice and we determined the edge state spectrum which contains gap traversing states as the hallmark of $\mathds{Z}_{2}$ topological insulator. The…

Mesoscale and Nanoscale Physics · Physics 2014-01-15 Ahad K. Ardabili , Tekin Dereli , Özgür E. Müstecaplıoğlu

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…

Strongly Correlated Electrons · Physics 2021-01-12 Yuan Da Liao , Xiao Yan Xu , Zi Yang Meng , Jian Kang

We present results on QCD with four dynamical flavors in the temperature range $150$ MeV $\lesssim T \lesssim 500$ MeV. We have performed lattice simulations with Wilson fermions at maximal twist and measured Polyakov loop, chiral…

High Energy Physics - Lattice · Physics 2018-11-09 Florian Burger , Ernst-Michael Ilgenfritz , Maria Paola Lombardo , Anton Trunin

We consider a spin-1/2 fermionic ladder with spin-orbit coupling and a perpendicular magnetic field, which shares important similarities with topological superconducting wires. We fully characterize the symmetry-protected topological phase…

Quantum Gases · Physics 2015-10-02 Leonardo Mazza , Monika Aidelsburger , Hong-Hao Tu , Nathan Goldman , Michele Burrello
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