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We present a simple model that we believe captures the key aspects of the competition between superconducting and insulating states in twisted bilayer graphene. Within this model, the superconducting phase is primary, and arises at generic…

Strongly Correlated Electrons · Physics 2019-09-16 Yang-Zhi Chou , Yu-Ping Lin , Sankar Das Sarma , Rahul M. Nandkishore

Superconductivity has recently been observed in moir\'e transition-metal dichalcogenide bilayers. Here, we investigate the superconducting state in twisted WSe$_2$ using two complementary theoretical approaches. The first is based on the…

Superconductivity · Physics 2026-05-07 Waseem Akbar , Michał Zegrodnik

Electron hydrodynamics gives rise to surprising correlated behaviors in which electrons "cooperate" to quench dissipation and reduce the electric fields needed to sustain the flow. Such collective "free" flows are usually expected at the…

Mesoscale and Nanoscale Physics · Physics 2020-12-18 Qiantan Hong , Margarita Davydova , Patrick J Ledwith , Leonid Levitov

We develop an inhomogeneous mean-field theory for the extended Bose-Hubbard model with a quadratic, confining potential. In the absence of this potential, our mean-field theory yields the phase diagram of the homogeneous extended…

Quantum Gases · Physics 2012-02-01 Jamshid Moradi Kurdestany , Ramesh V. Pai , Rahul Pandit

The nature of electron correlations in bilayer graphene has been investigated. An analytic expression for the radial distribution function is derived for an ideal electron gas and the corresponding static structure factor is evaluated. We…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 D. S. L. Abergel , Tapash Chakraborty

The magnetic properties of graphene on finite geometries are studied using a self-consistent mean-field theory of the Hubbard model. This approach is known to predict ferromagnetic edge states close to the zig-zag edges in single-layer…

Strongly Correlated Electrons · Physics 2020-03-04 Hélène Feldner , Zi Yang Meng , Andreas Honecker , Daniel Cabra , Stefan Wessel , Fakher F. Assaad

Nonequilibrium conditions offer novel routes to superconductivity that are not available at equilibrium. For example, by engineering nonequilibrium electronic populations, pairing may develop between electrons in different energy bands. A…

Superconductivity · Physics 2020-12-21 A. Shtyk , G. Goldstein , C. Aron , C. Chamon

The influence of screening on the condensed state of bilayer graphene is studied within the framework of the Thomas Fermi approximation. We find that screening has little effect on the Kosterlitz-Thouless temperature in the strongly…

Mesoscale and Nanoscale Physics · Physics 2008-10-03 R. Bistritzer , H. Min , J. J. Su , A. H. MacDonald

We have investigated the Coulomb screening properties and collective excitations in a graphene bilayer. The static screening effect is anisotropic and is much stronger in the undoped graphene bilayer than in a monolayer graphene [1]. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Xue-Feng Wang , Tapash Chakraborty

We describe a tunneling spectroscopy technique in a double bilayer graphene heterostructure where momentum-conserving tunneling between different energy bands serves as an energy filter for the tunneling carriers, and allows a measurement…

Mesoscale and Nanoscale Physics · Physics 2021-09-13 Nitin Prasad , G. William Burg , Kenji Watanabe , Takashi Taniguchi , Leonard F. Register , Emanuel Tutuc

The screening problem for the Coulomb potential of a charge located in a two-dimensional (2D) system has an intriguing solution with a power law distance screening factor due to out-of-plane electrical fields. This is crucially different…

Mesoscale and Nanoscale Physics · Physics 2024-09-10 K. A. Baryshnikov , A. V. Gert , Yu. B. Vasilyev , A. P. Dmitriev

We report room temperature scanning tunneling microscopy and spectroscopy study of bilayer graphene prepared by mechanical exfoliation on SiO$_2$/Si surface and electrically contacted with gold pads using a mechanical mask. The bulk…

Mesoscale and Nanoscale Physics · Physics 2014-02-11 Shyam K. Choudhary , Anjan K. Gupta

We study the influence of quantizing perpendicular magnetic fields on the ground state of a bilayer with electron and hole fluids separated by an opaque tunnel barrier. In the absence of a field, the ground state at low carrier densities is…

Mesoscale and Nanoscale Physics · Physics 2024-04-09 Bo Zou , Yongxin Zeng , A. H. MacDonald , Artem Strashko

It has been shown that the Kohn--Luttinger superconductivity mechanism interplaying with other types of ordering can be implemented in systems with a hexagonal lattice. A number of unusual properties of such systems in the normal phase have…

We study the static and dynamic screening of gapped bilayer graphene. Unlike previous works we use the 4-band model instead of the simplified 2-band model. We find that there are important qualitative differences between the dielectric…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 C. Triola , E. Rossi

The formation of a superstructure - with a related Moir\'e pattern - plays a crucial role in the extraordinary optical and electronic properties of twisted bilayer graphene, including the recently observed unconventional superconductivity.…

We report on small-cluster exact-diagonalization calculations which prove the formation of electron-hole pairs (excitons) as prerequisite for spontaneous interlayer phase coherence in bilayer systems described by the extended…

Strongly Correlated Electrons · Physics 2013-07-25 T. Kaneko , S. Ejima , H. Fehske , Y. Ohta

We report on Hybrid-Monte-Carlo simulations at finite spin density of the $\pi$-band electrons in monolayer graphene with realistic inter-electron interactions. Unlike simulations at finite charge-carrier density, these are not affected by…

Strongly Correlated Electrons · Physics 2017-11-15 Michael Körner , Dominik Smith , Pavel Buividovich , Maksim Ulybyshev , Lorenz von Smekal

Because graphene is an atomically two-dimensional gapless semiconductor with nearly identical conduction and valence bands, graphene-based bilayers are attractive candidates for high-temperature electron-hole pair condensation. We present…

Mesoscale and Nanoscale Physics · Physics 2008-09-04 Hongki Min , Rafi Bistritzer , Jung-Jung Su , A. H. MacDonald

The main objective of the present work is the development of an analytically tractable model of screened electron-electron and electron-exciton interactions in layered systems composed of two parallel semiconductor quantum wells separated…

Mesoscale and Nanoscale Physics · Physics 2011-10-14 Henni Ouerdane