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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

Even though composite fermions in the fractional quantum Hall liquid are well established, it is not yet known up to what energies they remain intact. We probe the high-energy spectrum of the 1/3 liquid directly by resonant inelastic light…

We propose that quantum Hall bilayers in the presence of a periodic potential at the scale of the magnetic length can host examples of a Deconfined Metal-Insulator Transition (DMIT), where a Fermi liquid (FL) metal with a generic electronic…

Strongly Correlated Electrons · Physics 2024-05-28 Liujun Zou , Debanjan Chowdhury

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

Quantum Hall bilayer systems at filling fractions near \nu = 1/2 + 1/2 undergo a transition from a compressible phase with strong intralayer correlation to an incompressible phase with strong interlayer correlations as the layer separation…

Mesoscale and Nanoscale Physics · Physics 2009-03-19 Gunnar Moller , Steven H Simon , Edward H Rezayi

The quantum Hall bilayer (QHB) at filling factor $ \nu = 1 $ represents a competition between Bose-Einstein condensation (BEC) at small distances between layers and fermionic condensation, whose influence grows with distance and results in…

Strongly Correlated Electrons · Physics 2023-10-20 Sonja Predin , Milica V. Milovanović

Recent variational studies have demonstrated that the strongly correlated ground states of the fractional quantum Hall (FQH) effect can be captured using machine learning approaches starting from no prior knowledge of the underlying…

Strongly Correlated Electrons · Physics 2025-12-02 Mytraya Gattu

The Halperin-Lee-Read Fermi sea of composite fermions (CFs) at half-filled lowest Landau level is the realization of a fascinating non-Fermi liquid metallic phase. Remarkably, experiments have found that as the width of the quantum well is…

Strongly Correlated Electrons · Physics 2024-02-02 Anirban Sharma , Ajit C. Balram , J. K. Jain

We discuss the possibility of the quantum Hall effect at half-filled Landau level in terms of the pairing of the composite fermions. In the absence of Coulomb energy, we show that the ground state of the system is described by the {\it…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Takao Morinari

We study the effect of band anisotropy with discrete rotational symmetry $C_N$ (where $N\ge 2$) in the quantum Hall regime of two-dimensional electron systems. We focus on the composite Fermi liquid (CFL) at half filling of the lowest…

Strongly Correlated Electrons · Physics 2017-10-04 Matteo Ippoliti , Scott D. Geraedts , R. N. Bhatt

We derive the effective Hamiltonian for the composite fermion in double-layer quantum Hall systems with inter-layer tunneling at total Landau-level filling factor $\nu=1/m$, where $m$ is an integer. We find that the ground state is the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Takao Morinari

The effective interaction between composite fermions, set entirely by the Coulomb potential and the underlying electronic Landau level orbitals, can stabilize exotic fractional quantum Hall states. In particular, half-filled Landau levels…

Mesoscale and Nanoscale Physics · Physics 2025-12-29 Ravi Kumar , Tomer Firon , André Haug , Misha Yutushui , Alon Ner Gaon , Kenji Watanabe , Takashi Taniguchi , David F. Mross , Yuval Ronen

We consider the Coulomb drag between two two-dimensional electron layers at filling factor \nu = 1/2 each, using a strong coupling approach within the composite fermion picture. Due to an attractive interlayer interaction, composite…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Iddo Ussishkin , Ady Stern

We argue that the naively expected singularities of the Fermi surface, in the mixed composite boson - composite fermion states proposed [S.H. Simon et al., PRL 91, 046803(2003)] for the evolution of \nu = 1 bilayer quantum Hall system with…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. V. Milovanovic

The High Landau level filling fractions 5/2, 7/3 and 8/3 are interpreted by using the angular momentum model. It is found that for the odd number of flux quanta, the quasiparticles called the ``composite fermions'' are fermions but for even…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Keshav N. Shrivastava

The ground state cohesive energies per electron of the composite fermion (CF) Fermi sea, the Laughlin state and the charge density wave (CDW) at higher Landau levels (LLs) are computed. It is shown that whereas for $n\geq 2$ LL, the CDW…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Shi-Jie Yang , Yue Yu , Zhao-Bin Su

We observe geometric resonance features of composite fermions on the flanks of the even denominator {\nu} = 1/2 fractional quantum Hall state in high-mobility two-dimensional electron and hole systems confined to wide GaAs quantum wells and…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 M. A. Mueed , D. Kamburov , S. Hasdemir , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

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…

Strongly Correlated Electrons · Physics 2020-11-25 Zhihuan Dong , T. Senthil

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…

Mesoscale and Nanoscale Physics · Physics 2017-11-02 W. Pan , W. Kang , K. W. Baldwin , K. W. West , L. N. Pfeiffer , D. C. Tsui

Motivated by the observation of even denominator fractional quantum Hall effect in the $n=3$ Landau level of monolayer graphene [Y. Kim $\textit{et al.}$, Nature Physics $\textbf{15}$, 154 (2019)], we consider a Bardeen-Cooper-Schrieffer…

Strongly Correlated Electrons · Physics 2023-04-05 Anirban Sharma , Songyang Pu , Ajit C. Balram , Jainendra K. Jain