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Valley pseudospin, the quantum degree of freedom characterizing the degenerate valleys in energy bands, is a distinct feature of two-dimensional Dirac materials. Similar to spin, the valley pseudospin is spanned by a time reversal pair of…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Mengqiao Sui , Guorui Chen , Liguo Ma , Wenyu Shan , Dai Tian , Kenji Watanabe , Takashi Taniguchi , Xiaofeng Jin , Wang Yao , Di Xiao , Yuanbo Zhang

We argue that at finite carrier density and large displacement fields, bilayer graphene is prone to $\ell =0$ and $\ell = 1$ Pomeranchuk Fermi surface instabilities. The broken symmetries are driven by non-local exchange interactions which…

Mesoscale and Nanoscale Physics · Physics 2015-07-08 Jeil Jung , Marco Polini , Allan H. MacDonald

In Bernal-stacked bilayer graphene (BBG), the Landau levels give rise to an intimate connection between valley and layer degrees of freedom. Adding a moir\'e superlattice potential enriches the BBG physics with the formation of topological…

Mesoscale and Nanoscale Physics · Physics 2024-08-02 Yungi Jeong , Hangyeol Park , Taeho Kim , Kenji Watanabe , Takashi Taniguchi , Jeil Jung , Joonho Jang

Berry phase plays an important role in determining many physical properties of quantum systems. However, a Berry phase altering energy spectrum of a quantum system is comparatively rare. Here, we report an unusual tunable valley polarized…

Mesoscale and Nanoscale Physics · Physics 2021-08-18 Ya-Ning Ren , Qiang Cheng , Qing-Feng Sun , Lin He

Magnetic fields force ballistic electrons injected from a narrow contact to move along skipping orbits and form caustics. This leads to pronounced resistance peaks at nearby voltage probes as electrons are effectively focused inside them, a…

Recently, gate-defined Josephson junctions in magic angle twisted bilayer graphene (MATBG) were studied experimentally and highly unconventional Fraunhofer patterns were observed. In this work, we show that an interaction-driven…

Mesoscale and Nanoscale Physics · Physics 2023-05-01 Ying-Ming Xie , Dmitri K. Efetov , K. T. Law

The realization of integrated quantum circuits requires precise on-chip control of charge carriers. Aiming at the coherent coupling of distant nanostructures at zero magnetic field, here we study the ballistic electron transport through two…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 Jaan Freudenfeld , Max Geier , Vladimir Umansky , Piet W. Brouwer , Stefan Ludwig

We present the results for the evolution of the Fermi surfaces under variation of number density and displacement field for spin and valley-polarized states in Bernal bilayer graphene (BBG) using a realistic form of the electronic…

Strongly Correlated Electrons · Physics 2025-04-04 R. David Mayrhofer , Andrey V. Chubukov

Bilayer graphene is a promising platform for electrically controllable qubits in a two-dimensional material. Of particular interest is the ability to encode quantum information in the so-called valley degree of freedom, a two-fold orbital…

Using the B\"{u}ttiker-Landauer formulation of transport theory in the linear response regime, the valley currents and non-local resistances of bilayer graphene nanostructures with broken inversion symmetry are calculated. It is shown that…

Mesoscale and Nanoscale Physics · Physics 2017-11-16 Mohammadhadi Azari , George Kirczenow

Electron collimation via a graphene pn-junction allows electrostatic control of ballistic electron trajectories akin to that of an optical circuit. Similar manipulation of novel correlated electronic phases in twisted-bilayer graphene…

Mesoscale and Nanoscale Physics · Physics 2024-04-02 Wei Ren , Xi Zhang , Ziyan Zhu , Moosa Khan , Kenji Watanabe , Takashi Taniguchi , Efthimios Kaxiras , Mitchell Luskin , Ke Wang

We have fabricated and measured ballistic graphene transistors with two oblique gates that can be independently biased. The gate lengths are about 38 nm and are separated by a distance of 30 nm, the tilting angle being of 45o with respect…

Mesoscale and Nanoscale Physics · Physics 2016-07-27 Mircea Dragoman , Adrian Dinescu , Daniela Dragoman

We show that delaminations in bilayer graphene (BLG) with electrostatically induced interlayer asymmetry can provide one with ballistic channels for electrons with energies inside the electrostatically induced BLG gap. These channels are…

Mesoscale and Nanoscale Physics · Physics 2018-01-18 T. L. M. Lane , M. Anđelković , J. R. Wallbank , L. Covaci , F. M. Peeters , V. I. Fal'ko

We show how the trigonal warping effect in doped graphene can be used to produce fully valley polarized currents. We propose a device that acts both as a beam splitter and a collimator of these electronic currents. The result is…

Mesoscale and Nanoscale Physics · Physics 2007-10-05 J. L. Garcia-Pomar , A. Cortijo , M. Nieto-Vesperinas

Monolayer graphene and bilayer graphene have strikingly different properties. One such difference is the shape of the Fermi surface. Although anisotropic band structures can be detected in optical measurements, they have so far been…

Mesoscale and Nanoscale Physics · Physics 2019-01-21 Takushi Oka , Shingo Tajima , Ryoya Ebisuoka , Taiki Hirahara , Kenji Watanabe , Takashi Taniguchi , Ryuta Yagi

We report the fabrication of electrostatically defined nanostructures in encapsulated bilayer graphene, with leakage resistances below depletion gates as high as $R \sim 10~$G$\Omega$. This exceeds previously reported values of $R =~$10 -…

We report on the emergence of bulk, valley-polarized currents in graphene-based devices, driven by spatially varying regions of broken sublattice symmetry, and revealed by non-local resistance ($R_\mathrm{NL}$) fingerprints. By using a…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 Thomas Aktor , Jose H. Garcia , Stephan Roche , Antti-Pekka Jauho , Stephen R. Power

Despite many reports of valley-related phenomena in graphene and its multilayers, current transport experiments cannot probe valley phenomena without the application of external fields. Here we propose a gate-defined valley splitter as a…

Mesoscale and Nanoscale Physics · Physics 2025-02-26 Juan Daniel Torres Luna , Kostas Vilkelis , Antonio L. R. Manesco

We demonstrate a mesoscopic spin polarizer/analyzer system that allows the spin polarization of current from a quantum point contact in an in-plane magnetic field to be measured. A transverse focusing geometry is used to couple current from…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. M. Potok , J. A. Folk , C. M. Marcus , V. Umansky

This is a numerical study of the conductance of an Aharonov-Bohm interferometer in a tight-binding model of graphene. Two single-mode ballistic point contacts with zigzag edges are connected by two arms of a hexagonal ring enclosing a…

Mesoscale and Nanoscale Physics · Physics 2007-09-24 A. Rycerz , C. W. J. Beenakker