Fermi contour anisotropy of GaAs electron-flux composite fermions in parallel magnetic fields

Kamburov, D.; Mueed, M. A.; Shayegan, M.; Pfeiffer, L. N.; West, K. W.; Baldwin, K. W.; Lee, J. J. D.; Winkler, Roland

doi:10.1103/physrevb.89.085304

Cited by 35 publications

(89 citation statements)

References 40 publications

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“…This conclusion appears, at first, to be inconsistent with the experiments of Kamburov et al 3 , who find a smaller anisotropy for the CF Fermi sea than for the electron Fermi sea. In fact, they find that even when the electron Fermi sea becomes peanut shaped or breaks into two pieces (i.e., becomes bilayer like), the CF Fermi sea remains elliptical, with much smaller anisotropy.…”

Section: A Cf Fermi Seacontrasting

confidence: 76%

“…Striking recent experiments from Princeton by Gokmen et al 1 , Kamburov et al 2,3 and Mueed et al 4,5 have investigated the role of electron mass anisotropy on the composite fermion (CF) Fermi sea, which was predicted in the early 1990s by Halperin, Lee and Read…”

Section: Introductionmentioning

confidence: 99%

“…in AlAs quantum wells 17 where the Fermi pockets are elliptical with the longitudinal and transverse electron band masses that differ by a factor of ∼5, or can be produced by application of an in-plane magnetic field in finite width GaAs quantum wells 5,[18][19][20] . Direct measurements of the CF Fermi wave vectors in perpendicular directions 2,3 demonstrate that the CF Fermi sea also becomes anisotropic. These experiments also measure the degree of anisotropy for the CF Fermi sea as a function of the anisotropy of the electron Fermi sea.…”

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confidence: 99%

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Exact results for model wave functions of anisotropic composite fermions in the fractional quantum Hall effect

Balram

Jain

2016

Phys. Rev. B

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The microscopic wave functions of the composite fermion theory can incorporate electron mass anisotropy by a trivial rescaling of the coordinates. These wave functions are very likely adiabatically connected to the actual wave functions of the anisotropic fractional quantum Hall states. We show in this article that they possess the nice property that their energies can be analytically related to the previously calculated energies for the isotropic states through a universal scale factor, thus allowing an estimation of several observables in the thermodynamic limit for all fractional quantum Hall states. The rather weak dependence of the scale factor on the anisotropy provides insight into why fractional quantum Hall effect and composite fermions are quite robust to electron mass anisotropy. We discuss how better, though still approximate, wave functions can be obtained by introducing a variational parameter, following Haldane [Phys. Rev. Lett. 107, 116801 (2011)], but the resulting wave functions are not readily amenable to calculations. Our considerations are also applicable, with minimal modification, to the case where the dielectric function of the background material is anisotropic.

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Section: A Cf Fermi Seacontrasting

confidence: 76%

Section: Introductionmentioning

confidence: 99%

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confidence: 99%

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Exact results for model wave functions of anisotropic composite fermions in the fractional quantum Hall effect

Balram

Jain

2016

Phys. Rev. B

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“…To self-consistently determine the parameters, one needs a couple of mean field equations. We can use the DCF wave function to calculate the DCF Coulomb potential and then let it relate to the DCF energy (16). This obtains one of mean field equations.…”

Section: Stability For Jain's Sequencementioning

confidence: 99%

“…Therefore, a relativistic CFL theory is eagerly called together with the following facts: The PHS of Jain's sequences of FQHE 13 ; the PHS wave function for ν = state shown by numerical calculations 14 ; as well as the requirement of the universal origin for 1 2 anomalous Hall conductivity in ν = 1 2 CFL 11,12 . Recently, the enthusiasm of research for reexamining the CFL theory is aroused by experiments [15][16][17] . A careful experiment of the composite fermion (CF) Fermi wave vector measurement through commensurability effects in the presence of a periodic grating suggests the breakdown of the PHS in FQHE 15 while theoretical explanation for the experiment must arise from PHS models 18,19 .…”

Section: Introductionmentioning

confidence: 99%

Nonperturbative emergence of the Dirac fermion in a strongly correlated composite Fermi liquid

Yang¹,

Luo²,

Yu³

2017

Phys. Rev. B

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The classic composite fermion field theory 1 builds up an excellent framework to uniformly study important physical objects and globally explain anomalous experimental phenomena in fractional quantum Hall physics while there are also inherent weaknesses. We present a nonperturbative emergent Dirac fermion theory from this strongly correlated composite fermion field theory, which overcomes these serious long-standing shortcomings. The particle-hole symmetry of Dirac equation resolves this particle-hole symmetry enigma in the composite fermion field theory. With the help of presented numerical data, we show that for main Jain's sequences of fractional quantum Hall effects, this emergent Dirac fermion theory in mean field approximation is most likely stable.

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Fermi Surfaces of Composite Fermions

Bhatt

Ippoliti

2020

J Low Temp Phys

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The fractional quantum Hall (FQH) effect was discovered in twodimensional electron systems subject to a large perpendicular magnetic field nearly four decades ago. It helped launch the field of topological phases, and in addition, because of the quenching of the kinetic energy, gave new meaning to the phrase "correlated matter". Most FQH phases are gapped like insulators and superconductors; however, a small subset with even denominator fractional fillings ν of the Landau level, typified by ν = 1/2, are found to be gapless, with a Fermi surface akin to metals. We discuss our results, obtained numerically using the infinite-Density Matrix Renormalization Group (iDMRG) scheme, on the effect of non-isotropic distortions with discrete Nfold rotational symmetry of the Fermi surface at zero magnetic field on the Fermi surface of the correlated ν = 1/2 state. We find that while the response for N = 2 (elliptical) distortions is significant (and in agreement with experimental observations with no adjustable parameters), it decreases very rapidly as N is increased. Other anomalies, like resilience to breaking the Fermi surface into disjoint pieces, are also found. This highlights the difference between Fermi surfaces formed from the kinetic energy, and those formed of purely potential energy terms in the Hamiltonian.Keywords fractional quantum Hall effect · two dimensional electron gas · Fermi surface

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Fermi contour anisotropy of GaAs electron-flux composite fermions in parallel magnetic fields

Cited by 35 publications

References 40 publications

Exact results for model wave functions of anisotropic composite fermions in the fractional quantum Hall effect

Exact results for model wave functions of anisotropic composite fermions in the fractional quantum Hall effect

Nonperturbative emergence of the Dirac fermion in a strongly correlated composite Fermi liquid

Fermi Surfaces of Composite Fermions

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