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The composite Fermi liquid (CFL) in the half-filled Landau level is a cornerstone of the quantum Hall phase diagram. Recent experiments and numerics indicate that an anomalous composite Fermi liquid (ACFL) can also arise at half filling of…

强关联电子 · 物理学 2026-01-16 Zhengyan Darius Shi , Pavel A. Nosov

The pursuit of exotic phases of matter outside of the extreme conditions of a quantizing magnetic field has been a long standing quest of solid state physics. Recent experiments have observed spontaneous valley polarization and fractional…

强关联电子 · 物理学 2023-09-28 Junkai Dong , Jie Wang , Patrick J. Ledwith , Ashvin Vishwanath , Daniel E. Parker

Recent experimental observations of the fractional quantum anomalous Hall effect in spin/valley polarized moir\'{e} systems call for a more expansive theoretical exploration of strongly correlated physics in partially filled topological…

强关联电子 · 物理学 2023-12-12 Nayan Myerson-Jain , Chao-Ming Jian , Cenke Xu

The physics of two-dimensional electron gas in a perpendicular magnetic field, i.e., the quantum Hall system, is remarkably rich. At half filling of the lowest Landau level, it has been predicted that ``composite fermions'' -- emergent…

强关联电子 · 物理学 2026-03-04 Bin-Bin Chen , Hongyu Lu , Zi Yang Meng

Recent experiments on the twisted semiconductor bilayer system $t$MoTe$_2$ have observed integer and fractional quantum anomalous Hall effects, which occur in topological moir\'e bands at zero magnetic field. Here, we present a global phase…

介观与纳米尺度物理 · 物理学 2023-12-25 Aidan P. Reddy , Liang Fu

The interplay between spontaneous symmetry breaking and topology can result in exotic quantum states of matter. A celebrated example is the quantum anomalous Hall (QAH) state, which exhibits an integer quantum Hall effect at zero magnetic…

The fractional quantum Hall effect (FQHE) in two-dimensional electron system (2DES) is an exotic, superfluid-like matter with an emergent topological order. From the consideration of Aharonov-Bohm interaction of electrons and magnetic…

介观与纳米尺度物理 · 物理学 2017-11-02 W. Pan , W. Kang , K. W. Baldwin , K. W. West , L. N. Pfeiffer , D. C. Tsui

The fractional quantum anomalous Hall effect (FQAHE), the analog of the fractional quantum Hall effect1 at zero magnetic field, is predicted to exist in topological flat bands under spontaneous time-reversal-symmetry breaking. The…

介观与纳米尺度物理 · 物理学 2023-12-29 Zhengguang Lu , Tonghang Han , Yuxuan Yao , Aidan P. Reddy , Jixiang Yang , Junseok Seo , Kenji Watanabe , Takashi Taniguchi , Liang Fu , Long Ju

Two-dimensional moire materials present unprecedented opportunities to explore quantum phases of matter arising from the interplay of band topology and strong correlations.One of the most striking examples is the recent observation of…

Evidence for developing fractional quantum Hall effect (FQHE) at filling fraction $\nu{=}1/6$ and $1/8$ has recently been reported in wide GaAs quantum wells [Wang \emph{et al.}, PRL {\bf 134}, 046502 (2025)]. In this article, we…

强关联电子 · 物理学 2025-07-09 Ajit C. Balram , Anirban Sharma , J. K. Jain

Recently several moir\'e super-lattice systems are proposed to host nearly flat $\pm$ Chern bands: the bands of the two valleys have opposite Chern numbers. In these systems the charge of each valley is separately conserved. For the $C=\pm…

强关联电子 · 物理学 2018-10-19 Ya-Hui Zhang

Composite fermions have played a seminal role in understanding the quantum Hall effect, particularly the formation of a compressible `composite Fermi liquid' (CFL) at filling factor nu = 1/2. Here we suggest that in multi-layer systems…

强关联电子 · 物理学 2013-05-29 Jason Alicea , Olexei I. Motrunich , G. Refael , Matthew P. A. Fisher

Composite Fermi liquid metals arise at certain special filling fractions in the quantum Hall regime and play an important role as parent states of gapped states with quantized Hall response. They have been successfully described by the…

强关联电子 · 物理学 2020-11-25 Zhihuan Dong , T. Senthil

The experimental discovery of fractional quantum anomalous Hall (FQAH) states in tunable moir\'e superlattices has sparked intense interest in exploring the interplay between topological order and symmetry breaking phases. In this paper, we…

强关联电子 · 物理学 2025-12-30 Chuyi Tuo , Ming-Rui Li , Hong Yao

Composite fermions in fractional quantum Hall (FQH) systems are believed to form a Fermi sea of weakly interacting particles at half filling $\nu=1/2$. Recently, it was proposed (D. T. Son, Phys. Rev. X 5, 031027 (2015)) that these…

介观与纳米尺度物理 · 物理学 2018-02-14 Antti Laitinen , Manohar Kumar , Pertti J. Hakonen

One of the most successful theories of a non-Fermi liquid metallic state is the composite Fermi liquid (CFL) theory of the half-filled Landau level. In this paper, we study continuous quantum phase transitions out of the CFL state and into…

强关联电子 · 物理学 2012-08-22 Maissam Barkeshli , John McGreevy

Composite Fermi liquids (CFLs) are compressible states that can occur for 2D interacting fermions confined in the lowest Landau level at certain Landau level fillings. They have been understood as Fermi seas formed by composite fermions…

介观与纳米尺度物理 · 物理学 2019-07-05 Jie Wang

One of the most spectacular experimental findings in the fractional quantum Hall effect is evidence for an emergent Fermi surface when the electron density is nearly half the density of magnetic flux quanta ($\nu = 1/2$). The seminal work…

In spatial dimensions d >= 2, Kondo lattice models of conduction and local moment electrons can exhibit a fractionalized, non-magnetic state (FL*) with a Fermi surface of sharp electron-like quasiparticles, enclosing a volume quantized by…

强关联电子 · 物理学 2007-05-23 T. Senthil , Subir Sachdev , Matthias Vojta

The observation of the fractional quantum Hall (FQH) effect in 2D electron gases ushered in investigations of topological phases driven by strong electron correlations. Their remarkable features include fractionalized elementary…

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