2011/06/10 by Alex Archer, Alexander C. Archer, J. K. Jain +1 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Composite fermion #Composite number #Condensed matter physics #Crystal (programming language) #Electron #Fermion #Filling factor #Materials science #Phase (matter) #Physics #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Resonance (particle physics) #Shear modulus #Thermodynamics #Wigner crystal #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.84.115139
published as Phys. Rev. B 84, 115139 (2011) · Composite Fermion Wigner Crystal; 14 pages, 9 figures
arxiv created 2011/06/10 · openalex publication_date 2011/09/26 · arxiv updated 2013/02/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The Wigner crystal of composite fermions is a strongly correlated state of complex emergent particles in two dimensions, and therefore its unambiguous detection would be of significant importance. A recent observation of optical resonances in the vicinity of filling factor \ensuremathν=1/3 has been interpreted as evidence for a pinned Wigner crystal of composite fermions [Phys. Rev. Lett. 105, 126803 (2010)]. We evaluate in a microscopic theory the shear modulus and the magnetophonon and magnetoplasmon dispersions of the composite fermion Wigner crystal in the vicinity of filling factors 1/3, 2/5, and 3/7. We determine the region of stability of the crystal phase, and also relate the frequency of its pinning mode to that of the corresponding electron crystal near integer fillings. These results are in good semiquantitative agreement with experiment, and therefore support the identification of the optical resonance as the pinning mode of the composite fermion Wigner crystal. Our calculations also bring out certain puzzling features, such as a relatively small melting temperature for the composite fermion Wigner crystal, and also suggest a higher asymmetry between Wigner crystals of composite fermion particles and holes than that observed experimentally.