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The quantum Hall physics of bilayer graphene is extremely rich due to the interplay between a layer degree of freedom and delicate fractional states. Recent experiments show that when an electric field perpendicular to the bilayer causes…

Strongly Correlated Electrons · Physics 2023-06-27 Michael P. Zaletel , Scott Geraedts , Zlatko Papić , Edward H. Rezayi

The study of exciton-polarons has offered profound insights into the many-body interactions between bosonic excitations and their immersed Fermi sea within layered heterostructures. However, little is known about the properties of exciton…

Mesoscale and Nanoscale Physics · Physics 2024-06-18 Huiying Cui , Qianying Hu , Xuan Zhao , Liguo Ma , Feng Jin , Qingming Zhang , Kenji Watanabe , Takashi Taniguchi , Jie Shan , Kin Fai Mak , Yongqing Li , Yang Xu

When two 2D electron gas layers, each at Landau level filling factor $\nu=1/2$, are close together a condensate of interlayer excitons emerges at low temperature. Although the excitonic phase is qualitatively well understood, the incoherent…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We propose to engineer topological exciton structures in layered transition metal dichalcogenides through hybridizing different Rydberg states, which can be induced by a periodic electrostatic potential remotely imprinted from charge…

Mesoscale and Nanoscale Physics · Physics 2025-10-09 Na Zhang , Wang Yao , Hongyi Yu

Half-filled Landau levels admit the theoretically powerful fermion-vortex duality but longstanding puzzles remain in their experimental realization as $\nu_T=1$ quantum Hall bilayers, further complicated by Zheng et al's recent numerical…

Strongly Correlated Electrons · Physics 2018-10-08 Ya-Hui Zhang , Itamar Kimchi

Topological Mott insulator (TMI) with spontaneous time-reversal symmetry breaking and nonzero Chern number has been discovered in a real-space effective model for twisted bilayer graphene (TBG) at 3/4 filling in the strong coupling limit.…

Strongly Correlated Electrons · Physics 2022-05-26 Xiyue Lin , Bin-Bin Chen , Wei Li , Zi Yang Meng , Tao Shi

Fractional Chern insulators (FCIs), having properties similar to those of the fractional quantum Hall effect, have been established numerically in various toy models. To fully explore their fundamental physics and to develop practical…

Strongly Correlated Electrons · Physics 2016-11-26 Wei Li , Zheng Liu , Yong-Shi Wu , Yan Chen

We study fractional quantum Hall states in double layer systems that can be interpreted as exciton condensates of composite fermions. An electron in one layer is dressed by two fluxes from the same layer and two fluxes from the other layer…

Strongly Correlated Electrons · Physics 2025-06-17 Xiang-Jian Hou , Lei Wang , Ying-Hai Wu

Complexity in many-particle systems occurs through processes of qualitative differentiation. These are described by concepts such as emerging states with specific symmetries that are linked to order parameters. In quantum Hall phases of…

Mesoscale and Nanoscale Physics · Physics 2008-07-18 Biswajit Karmakar , Vittorio Pellegrini , Aron Pinczuk , Loren N. Pfeiffer , Ken W. West

The fractional quantum Hall effect (FQHE) realized in two-dimensional electron systems is explained by the emergent composite fermions (CF) out of ordinary electrons. It is possible to write down explicit wavefunctions explaining many if…

Mesoscale and Nanoscale Physics · Physics 2025-01-31 Thierry Jolicoeur

The energy dispersion of fermions or bosons vanishes in momentum space if destructive quantum interference occurs in a frustrated Kagome lattice with only nearest-neighbour (NN) hopping. A discrete flat band (FB) without any dispersion is…

Materials Science · Physics 2017-08-16 Zhi Li , Jincheng Zhuang , Lan Chen , Li Wang , Haifeng Feng , Xun Xu , Xiaolin Wang , Chao Zhang , Kehui Wu , Shi Xue Dou , Zhenpeng Hu , Yi Du

An odd number of gapless Dirac fermions is guaranteed to exist at a surface of a strong topological insulator. We show that in a thin-film geometry and under external bias, electron-hole pairs that reside in these surface states can…

Strongly Correlated Electrons · Physics 2009-10-15 B. Seradjeh , J. E. Moore , M. Franz

The fractional quantum Hall (FQH) effect was discovered in two-dimensional electron systems subject to a large perpendicular magnetic field nearly four decades ago. It helped launch the field of topological phases, and in addition, because…

Strongly Correlated Electrons · Physics 2020-03-02 R. N. Bhatt , Matteo Ippoliti

We study the phase diagram of quantum Hall bilayer systems with total filing $\nu_T=1/2+1/2$ of the lowest Landau level as a function of layer distances $d$. Based on numerical exact diagonalization calculations, we obtain three distinct…

Strongly Correlated Electrons · Physics 2017-10-25 Zheng Zhu , Liang Fu , D. N. Sheng

Experiments on quantum materials have uncovered many interesting quantum phases ranging from superconductivity to a variety of topological quantum matter including the recently observed fractional quantum anomalous Hall insulators. The…

Strongly Correlated Electrons · Physics 2024-11-15 Sanfeng Wu , Leslie M. Schoop , Inti Sodemann , Roderich Moessner , Robert J. Cava , N. P. Ong

Excitons, Coulomb-driven bound states of electrons and holes, are typically composed of integer charges. However, in bilayer systems influenced by charge fractionalization, a more exotic form of interlayer exciton can emerge, where pairing…

Mesoscale and Nanoscale Physics · Physics 2025-01-14 Naiyuan J. Zhang , Ron Q. Nguyen , Navketan Batra , Xiaoxue Liu , Kenji Watanabe , Takashi Taniguchi , D. E. Feldman , J. I. A. Li

Spatially indirect excitons can be created when an electron and a hole, confined to separate layers of a double quantum well system, bind to form a composite Boson. Because there is no recombination pathway such excitons are long lived…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 J. I. A. Li , T. Taniguchi , K. Watanabe , J. Hone , C. R. Dean

The interplay between magnetism and non-trivial topology in magnetic topological insulators (MTI) is expected to give rise to a variety of exotic topological quantum phenomena, such as the quantum anomalous Hall (QAH) effect and the…

Pairing interaction between fermionic particles leads to composite Bosons that condense at low temperature. Such condensate gives rise to long range order and phase coherence in superconductivity, superfluidity, and other exotic states of…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 J. I. A. Li , Q. Shi , Y. Zeng , K. Watanabe , T. Taniguchi , J. Hone , C. R. Dean

Fermi surface topology plays an important role in determining the electronic properties of metals. In bulk metals, the Fermi energy is not easily tunable at the energy scale needed for reaching conditions for the Lifshitz transition - a…

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