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The conductance of graphene subject to a strong, tilted magnetic field exhibits a dramatic change from insulating to conducting behavior with tilt-angle, regarded as evidence for the transition from a canted antiferromagnetic (CAF) to a…

Strongly Correlated Electrons · Physics 2016-03-30 Pavel Tikhonov , Efrat Shimshoni , H. A. Fertig , Ganpathy Murthy

Graphene subject to a strong, tilted magnetic field exhibits an insulator-metal transition tunable by tilt-angle, attributed to the transition from a canted antiferromagnetic (CAF) to a ferromagnetic (FM) bulk state at filling factor zero.…

Mesoscale and Nanoscale Physics · Physics 2014-12-17 Ganpathy Murthy , Efrat Shimshoni , H. A. Fertig

We consider the zero-filled quantum-Hall ferromagnetic state of bilayer graphene subject to a kink-like perpendicular electric field, which generates domain walls in the electronic state and low-energy collective modes confined to move…

Strongly Correlated Electrons · Physics 2015-06-17 Victoria Mazo , Chia-Wei Huang , Efrat Shimshoni , Sam T. Carr , H. A. Fertig

In a graphene Landau level (LL), strong Coulomb interactions and the fourfold spin/valley degeneracy lead to an approximate SU(4) isospin symmetry. At partial filling, exchange interactions can spontaneously break this symmetry, manifesting…

Motivated to understand the nature of the strongly insulating $\nu=0$ quantum Hall state in bilayer graphene, we develop the theory of the state in the framework of quantum Hall ferromagnetism. The generic phase diagram, obtained in the…

Strongly Correlated Electrons · Physics 2012-08-07 Maxim Kharitonov

Charge-neutral graphene in the quantum Hall regime is an example of a quantum Hall ferromagnet in a complex spin-valley space. This system exhibits a plethora of phases, with the particular spin-valley order parameters chosen by the system…

Mesoscale and Nanoscale Physics · Physics 2025-05-21 Jincheng An , Ganpathy Murthy

In the quantum Hall regime of graphene, antiferromagnetic and spin-polarized ferromagnetic states at the zeroth Landau level compete, leading to a canted antiferromagnetic state depending on the direction and magnitude of an applied…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Y. Li , M. Amado , T. Hyart , G. P. Mazur , V. Risinggård , T. Wagner , L. McKenzie Sell , G. Kimbell , J. Wunderlich , J. Linder , J. W. A. Robinson

We investigate an effective model of proximity modified graphene (or symmetrylike materials) with broken time-reversal symmetry. We predict the appearance of quantum anomalous Hall phases by computing bulk band gap and Chern numbers for…

Mesoscale and Nanoscale Physics · Physics 2020-04-07 Petra Högl , Tobias Frank , Klaus Zollner , Denis Kochan , Martin Gmitra , Jaroslav Fabian

The $\nu=0$ quantum Hall state in a defect-free graphene sample is studied within the framework of quantum Hall ferromagnetism. We perform a systematic analysis of the pseudospin anisotropies, which arise from the valley and sublattice…

Strongly Correlated Electrons · Physics 2012-04-24 Maxim Kharitonov

We discuss entanglement in the spin-1/2 anisotropic ferromagnetic Heisenberg chain in the presence of a boundary magnetic field generating domain walls. By increasing the magnetic field, the model undergoes a first-order quantum phase…

Quantum Physics · Physics 2009-11-10 F. C. Alcaraz , A. Saguia , M. S. Sarandy

We analyze the dissipative conductance of the zero-plateau quantum Hall state appearing in undoped graphene in strong magnetic fields. Charge transport in this state is assumed to be carried by a magnetic domain wall, which forms by…

Mesoscale and Nanoscale Physics · Physics 2009-06-02 Efrat Shimshoni , H. A. Fertig , G. Venketeswara Pai

The rich phase diagram of quantum spin-ladder systems has attracted much attention in the theoretical literature. The progress in experimental realisations of this fascinating physics however has been much slower. While materials with a…

Mesoscale and Nanoscale Physics · Physics 2015-11-05 Victoria Mazo , Chia-Wei Huang , Efrat Shimshoni , Sam T. Carr , H. A. Fertig

We derive an effective low-energy theory for a ferromagnetic $(2N+1)$-leg spin-$\frac{1}{2}$ ladder with strong $XXZ$ anisotropy $\left|J_{\parallel}^z\right|\ll \left|J_{\parallel}^{xy}\right|$, subject to a kink-like non-uniform magnetic…

Strongly Correlated Electrons · Physics 2017-01-31 Pavel Tikhonov , Efrat Shimshoni

Valley-polarized quantum Hall states in graphene are described by a Heisenberg O(3) ferromagnet model, with the ordering type controlled by the strength and sign of valley anisotropy. A mechanism resulting from electron coupling to…

Mesoscale and Nanoscale Physics · Physics 2008-04-14 Dmitry A. Abanin , Patrick A. Lee , Leonid S. Levitov

Electron edge states in graphene in the Quantum Hall effect regime can carry both charge and spin. We show that spin splitting of the zeroth Landau level gives rise to counterpropagating modes with opposite spin polarization. These chiral…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 D. A. Abanin , P. A. Lee , L. S. Levitov

The collective modes of stripes in double layer quantum Hall systems are computed using the time-dependent Hartree-Fock approximation. It is found that, when the system possesses spontaneous interlayer coherence, there are two gapless…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. Cote , H. A. Fertig

The quantum Hall regime of graphene has many unusual properties. In particular, the presence of a Zeeman field opens up a region of energy within the zeroth Landau level, where the spin-up and spin-down states localized at a single edge…

Mesoscale and Nanoscale Physics · Physics 2018-11-19 Tibor Sekera , Christoph Bruder , Rakesh P. Tiwari

We propose a generalized Dirac fermion description for the electronic state of graphene terminated by a zigzag edge. This description admits a spin-orbit coupling needed to preserve time-reversal invariance of the zigzag confinement,…

Mesoscale and Nanoscale Physics · Physics 2011-07-20 Grigory Tkachov , Martina Hentschel

A promising approach to attain long-distance coherent spin propagation is accessing topological spin-polarized edge states in graphene. Achieving this without external magnetic fields necessitates engineering graphene band structure,…

Undoped graphene in a strong, tilted magnetic field exhibits a radical change in conduction upon changing the tilt-angle, which can be attributed to a quantum phase transition from a canted antiferromagnetic (CAF) to a ferromagnetic (FM)…

Strongly Correlated Electrons · Physics 2016-01-13 Ganpathy Murthy , Efrat Shimshoni , H. A. Fertig
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