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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…

Strongly Correlated Electrons · Physics 2026-01-16 Zhengyan Darius Shi , Pavel A. Nosov

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…

Strongly Correlated Electrons · Physics 2023-12-12 Nayan Myerson-Jain , Chao-Ming Jian , Cenke Xu

Recent experiments have produced evidence for fractional quantum anomalous Hall (FQAH) states at zero magnetic field in the semiconductor moir\'e superlattice system $t$MoTe$_2$. Here we argue that a composite fermion description, already a…

Mesoscale and Nanoscale Physics · Physics 2023-10-25 Hart Goldman , Aidan P. Reddy , Nisarga Paul , Liang Fu

We evaluate electromagnetic-response observables in a half-filled Chern band, across a topological phase transition between a composite Fermi liquid (CFL) and a Fermi liquid (FL) phase. While a sharp gapped plasma mode exists deep in the…

Strongly Correlated Electrons · Physics 2026-02-06 Xinlei Yue , Fabian Pichler , Michael Knap , Ady Stern

Recent experimental advances have uncovered fractional Chern insulator (FCI) states in twisted MoTe$_2$ (tMoTe$_2$) systems under zero magnetic field. Understanding the interaction effects on topological phases within realistic model…

Strongly Correlated Electrons · Physics 2026-02-03 Jialin Chen , Qiaoyi Li , Xiaoyu Wang , Wei Li

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…

Strongly Correlated Electrons · Physics 2026-03-04 Bin-Bin Chen , Hongyu Lu , Zi Yang Meng

A recent experiment has reported the first observation of a zero-field fractional Chern insulator (FCI) phase in twisted bilayer MoTe$_2$ moir\'e superlattices [Nature 622, 63-68 (2023)]. The experimental observation is at an unexpected…

Strongly Correlated Electrons · Physics 2024-04-09 Chong Wang , Xiao-Wei Zhang , Xiaoyu Liu , Yuchi He , Xiaodong Xu , Ying Ran , Ting Cao , Di Xiao

At partial filling of a flat band, strong electronic interactions may favor gapped states harboring emergent topology with quantized Hall conductivity. Emergent topological states have been found in partially filled Landau levels and…

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…

Strongly Correlated Electrons · Physics 2012-08-22 Maissam Barkeshli , John McGreevy

The discovery of Fractional Chern Insulators (FCIs) in twisted bilayer MoTe$_2$ has sparked significant interest in fractional topological matter without external magnetic fields. Unlike the flat dispersion of Landau levels, moir\'e…

Strongly Correlated Electrons · Physics 2024-10-30 Tianhong Lu , Luiz H. Santos

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…

Strongly Correlated Electrons · Physics 2018-10-19 Ya-Hui Zhang

We investigate the relation between the Fermi sea (FS) of zero-field carriers in two-dimensional systems and the FS of the corresponding composite fermions which emerge in a high magnetic field at filling $\nu = \frac{1}{2}$, as the kinetic…

Strongly Correlated Electrons · Physics 2017-08-09 Matteo Ippoliti , Scott D. Geraedts , R. N. Bhatt

We introduce and analyze a novel metallic phase of two-dimensional (2d) electrons, the Roton Fermi Liquid (RFL), which, in contrast to the Landau Fermi liquid, supports both gapless fermionic and bosonic quasiparticle excitations. The RFL…

Strongly Correlated Electrons · Physics 2013-05-29 Leon Balents , Matthew P. A. Fisher

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…

Mesoscale and Nanoscale Physics · Physics 2023-12-25 Aidan P. Reddy , Liang Fu

Fractional Chern insulators (FCIs) showing a transport effect with fractionally quantized Hall plateaus emerging under zero magnetic field, provide a radically new opportunity to engineer topological quantum electronics. By construction of…

The recent observation of the fractional quantum anomalous Hall effect in moir\'e fractional Chern insulators provides an opportunity to investigate zero magnetic field anyons. To potentially realize non-Abelian anyons, one approach is to…

At a certain "magic" relative twist angle of two graphene sheets it remains a challenge to obtain a detailed description of the proliferation of correlated topological electronic phases and their filling-dependence. We perform a…

Strongly Correlated Electrons · Physics 2023-04-10 Clara N. Breiø , Brian M. Andersen

We study composite fermi liquid (CFL) states in the lowest Landau level (LLL) limit at a generic filling $\nu = \frac{1}{n}$. We begin with the old observation that, in compressible states, the composite fermion in the lowest Landau level…

Strongly Correlated Electrons · Physics 2016-12-14 Chong Wang , T. Senthil

Twisted bilayer MoTe$_2$ (tMoTe$_2$) has emerged as a robust platform for exploring correlated topological phases, notably supporting fractional Chern insulator (FCI) states at zero magnetic field across a wide range of twist angles. The…

For interacting 2D electrons in the presence of magnetic field at half filling, the system forms a `composite Fermi liquid(CFL)' with emergent Fermi surface and exhibits metallic behavior, based on the standard Halperin, Lee, and Read(HLR)…

Strongly Correlated Electrons · Physics 2017-04-17 Yizhi You
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