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Composite fermions (CFs), exotic particles formed by pairing an even number of flux quanta to each electron, provide a fascinating description of phenomena exhibited by interacting two-dimensional electrons at high magnetic fields. At and…

介观与纳米尺度物理 · 物理学 2019-12-06 D. Kamburov , Yang Liu , M. A. Mueed , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

While an ordinary Fermi sea is perturbatively robust to interactions, the paradigmatic composite-fermion (CF) Fermi sea arises as a non-perturbative consequence of emergent gauge fields in a system where there was no Fermi sea to begin…

强关联电子 · 物理学 2015-11-02 Ajit C. Balram , Csaba Tőke , J. K. Jain

NMR measurements of the electron spin polarization have been performed on a 2D electron system at and around half-filled lowest Landau level. Comparing the magnetic field and the temperature dependence of the spin polarization to models of…

介观与纳米尺度物理 · 物理学 2016-08-16 N. Freytag , M. Horvatić , C. Berthier , M. Shayegan , L. P. Lévy

We report ballistic transport commensurability minima in the magnetoresistance of $\nu =3/2$ composite fermions (CFs). The CFs are formed in high-quality two-dimensional electron systems confined to wide GaAs quantum wells and subjected to…

介观与纳米尺度物理 · 物理学 2015-06-23 D. Kamburov , M. A. Mueed , I. Jo , Yang Liu , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin , J. J. D. Lee

The particle-hole (PH) symmetry at half-filled Landau level requires the relationship between the flux number N_phi and the particle number N on a sphere to be exactly N_phi - 2(N-1) = 1. The wave functions of composite fermions with 1/2…

强关联电子 · 物理学 2018-01-11 Jian Yang

The enigmatic even-denominator fractional quantum Hall state at Landau level filling factor $\nu=5/2$ is arguably the most promising candidate for harboring Majorana quasi-particles with non-Abelian statistics and thus of potential use for…

介观与纳米尺度物理 · 物理学 2018-06-27 Md. Shafayat Hossain , Meng K. Ma , M. A. Mueed , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

Motivated by recent experiments that reveal expansive fractional quantum Hall states in the $n=1$ graphene Landau level and suggest a nontrivial role of the spin degree of freedom [Amet {\em et al.}, Nat. Common. {\bf 6}, 5838 (2014)], we…

强关联电子 · 物理学 2018-02-20 Ajit C. Balram , Csaba Tőke , A. Wójs , J. K. Jain

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 physics of the state at even denominator fractional fillings of Landau levels depends on the Coulomb pseudopotentials, and produces, in different GaAs Landau levels, a composite fermion Fermi sea, a stripe phase, or, possibly, a paired…

介观与纳米尺度物理 · 物理学 2009-11-13 Csaba Toke , Jainendra K. Jain

Two-dimensional interacting electrons exposed to strong perpendicular magnetic fields generate emergent, exotic quasiparticles phenomenologically distinct from electrons. Specifically, electrons bind with an even number of flux quanta, and…

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…

强关联电子 · 物理学 2024-02-02 Anirban Sharma , Ajit C. Balram , J. K. Jain

The pair distribution function and the static structure factor are computed for composite fermions. Clear and robust evidence for a $2k_F$ structure is seen in a range of filling factors in the vicinity of the half-filled Landau level.…

介观与纳米尺度物理 · 物理学 2009-10-30 R. K. Kamilla , J. K. Jain , S. M. Girvin

We achieve an explicit construction of the lowest Landau level (LLL) projected wave functions for composite fermions in the periodic (torus) geometry. To this end, we first demonstrate how the vortex attachment of the composite fermion (CF)…

强关联电子 · 物理学 2017-11-08 Songyang Pu , Ying-Hai Wu , J. K. Jain

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…

强关联电子 · 物理学 2017-08-09 Matteo Ippoliti , Scott D. Geraedts , R. N. Bhatt

Motivated by the issue of particle-hole symmetry for the composite fermion Fermi sea at the half filled Landau level, Dam T. Son has made an intriguing proposal [Phys. Rev. X {\bf 5}, 031027 (2015)] that composite fermions are Dirac…

强关联电子 · 物理学 2016-06-29 Ajit C. Balram , J. K. Jain

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…

强关联电子 · 物理学 2023-04-05 Anirban Sharma , Songyang Pu , Ajit C. Balram , Jainendra K. Jain

Composite fermions (CFs) are the particles underlying the novel phenomena observed in partially filled Landau levels. Both microscopic wave functions and semi-classical dynamics suggest that a CF is a dipole consisting of an electron and a…

介观与纳米尺度物理 · 物理学 2021-10-25 Guangyue Ji , Junren Shi

In the strong-coupling BEC region where a Feshbach resonance gives rise to tightly-bound dimer molecules, we show that a spin-polarized Fermi superfluid reduces to a simple Bose-Fermi mixture of Bose-condensed dimers and the leftover…

其他凝聚态物理 · 物理学 2008-12-12 E. Taylor , A. Griffin , Y. Ohashi

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 this paper we study fractional quantum Hall composite fermion wavefunctions at filling fractions \nu = 2/3, 3/5, and 4/7. At each of these filling fractions, there are several possible wavefunctions with different spin polarizations,…

介观与纳米尺度物理 · 物理学 2012-06-06 Simon C. Davenport , Steven H. Simon
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