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We derive a microscopic theory of the composite fermions describing the low-lying edge excitations in the fractional quantum Hall liquid. Using the composite fermion transformation, one finds that the edge states of the $\nu=1/m$ system in…

介观与纳米尺度物理 · 物理学 2009-10-30 Yue Yu , Wenjun Zheng , Zhongyuan Zhu

Weyl semimetals represent a significant class of topological gapless materials in three dimensions and have been shown to exhibit three-dimensional quantum Hall effect. However, existing research mainly focuses on scenarios without…

介观与纳米尺度物理 · 物理学 2025-05-06 Jiong-Hao Wang , Yong Xu

While the integer quantum Hall effect of composite fermions manifests as the prominent fractional quantum Hall effect (FQHE) of electrons, the FQHE of composite fermions produces further, more delicate states, arising from a weak residual…

强关联电子 · 物理学 2015-01-14 Ajit C. Balram , Csaba Tőke , A. Wójs , J. K. Jain

The composite fermion picture has had a remarkable number of recent successes both in the description of the fractional quantized Hall states and in the description on the even denominator Fermi liquid like states. In this review we give an…

介观与纳米尺度物理 · 物理学 2016-11-03 Steven H. Simon

The fractional quantum Hall (FQH) effect refers to the strongly-correlated phenomena and the associated quantum phases of matter realized in a two-dimensional gas of electrons placed in a large perpendicular magnetic field. In such systems,…

介观与纳米尺度物理 · 物理学 2022-05-10 Zlatko Papić , Ajit C. Balram

Electrons in topological flat bands can form novel topological states driven by the correlation effects. The penta-layer rhombohedral graphene/hBN moire superlattice has been shown to host fractional quantum anomalous Hall effect (FQAHE) at…

介观与纳米尺度物理 · 物理学 2024-08-20 Zhengguang Lu , Tonghang Han , Yuxuan Yao , Jixiang Yang , Junseok Seo , Lihan Shi , Shenyong Ye , Kenji Watanabe , Takashi Taniguchi , Long Ju

We study the Fermi level structure of (2+1)-dimensional strongly interacting electron systems in external magnetic field using the AdS/CFT correspondence. The gravity dual of a finite density fermion system is a Dirac field in the…

高能物理 - 理论 · 物理学 2015-06-15 E. Gubankova , J. Brill , M. Cubrovic , K. Schalm , P. Schijven , J. Zaanen

We have investigated the low temperature (T) transport properties of fractional quantum Hall (FQH) states in a high-mobility two-dimensional hole gas. According to the composite fermion (CF) model, FQH states stemming from a half-filled…

介观与纳米尺度物理 · 物理学 2025-04-15 Yu-jiang Dong , Xinghao Wang , Jianmin Zheng , Weiliang Qiao , Rui-Rui Du , Loren N. Pfeiffer , Kenneth W. West , Kirk W. Baldwin

We study the effect of a non-zero strange quark mass on the color-flavor-locked (CFL) phase of high density quark matter. We have previously shown that for a strange quark mass $m_s\sim m_u^{1/3}\Delta^{2/3}$ the CFL state becomes unstable…

高能物理 - 唯象学 · 物理学 2008-11-26 Thomas Schaefer

At high magnetic fields, where the Fermi level lies in the N=0 lowest Landau level (LL), a clean two-dimensional electron system (2DES) exhibits numerous incompressible liquid phases which display the fractional quantized Hall effect (FQHE)…

强关联电子 · 物理学 2012-08-14 Jing Xia , J. P. Eisenstein , Loren N. Pfeiffer , Ken W. West

Magnetotransport properties are investigated in a high-mobility two-dimensional electron system in the strained Si quantum well of a (100) Si_0.75Ge_0.25/Si/Si_0.75Ge_0.25 heterostructure, at temperatures down to 30mK and in magnetic fields…

介观与纳米尺度物理 · 物理学 2007-05-23 K. Lai , W. Pan , D. C. Tsui , S. Lyon , M. Muhlberger , F. Schaffler

We predict the emergence a state of matter with intertwined ferromagnetism, charge order and topology in fractionally filled moir\'e superlattice bands. Remarkably, these quantum anomalous Hall crystals exhibit a quantized integer Hall…

介观与纳米尺度物理 · 物理学 2024-08-20 D. N. Sheng , Aidan P. Reddy , Ahmed Abouelkomsan , Emil J. Bergholtz , Liang Fu

An intense investigation of possible non-Fermi liquid states of matter has been inspired by two of the most intriguing phenomena discovered in the past quarter century, namely high temperature superconductivity and the fractional quantum…

强关联电子 · 物理学 2015-05-13 J. K. Jain , P. W. Anderson

Remarkable recent experiments on the moir\'e structure formed by pentalayer rhombohedral graphene aligned with a hexagonal Boron-Nitride substrate report the discovery of a zero field fractional quantum hall effect. These "(Fractional)…

强关联电子 · 物理学 2024-12-10 Zhihuan Dong , Adarsh S. Patri , T. Senthil

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…

强关联电子 · 物理学 2013-05-29 Leon Balents , Matthew P. A. Fisher

The composite fermion Fermi liquid (CFL) state at $\nu=1/2$ filling of a Landau level is a paradigmatic non-Fermi liquid borne out purely by Coulomb interactions. But in what ways is this exotic state of matter different from a Fermi…

强关联电子 · 物理学 2025-03-31 Cristian Voinea , Songyang Pu , Ajit C. Balram , Zlatko Papić

Composite fermions (CFs), exotic quasi-particles formed by pairing an electron and an even number of magnetic flux quanta emerge at high magnetic fields in an interacting electron system, and can explain phenomena such as the fractional…

介观与纳米尺度物理 · 物理学 2022-07-19 K. A. Villegas Rosales , P. T. Madathil , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

Single-component fractional quantum Hall states (FQHSs) at even-denominator filling factors may host non-Abelian quasiparticles that are considered to be building blocks of topological quantum computers. Such states, however, are rarely…

介观与纳米尺度物理 · 物理学 2024-01-01 Chengyu Wang , A. Gupta , S. K. Singh , P. T. Madathil , Y. J. Chung , L. N. Pfeiffer , K. W. Baldwin , R. Winkler , M. Shayegan

Field theories of the composite-fermion (CF) metal model it as a Fermi sea of composite fermions coupled to an emergent gauge field. Within a random phase approximation, these theories predict that the Landau damping of the gauge field…

强关联电子 · 物理学 2026-01-27 Amogh Anakru , Mytraya Gattu , Ajit C. Balram , Xiao-Chuan Wu , Prashant Kumar , Zhen Bi , J. K. Jain

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…

介观与纳米尺度物理 · 物理学 2025-12-29 Ravi Kumar , Tomer Firon , André Haug , Misha Yutushui , Alon Ner Gaon , Kenji Watanabe , Takashi Taniguchi , David F. Mross , Yuval Ronen