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Title: Higher-Spin Theory of the Magnetorotons

Journal Article · · Physical Review Letters
 [1];  [2];  [2];  [2]
  1. Univ. of Cambridge (United Kingdom)
  2. Univ. of Chicago, IL (United States)
+ Show Author Affiliations

Fractional quantum Hall liquids exhibit a rich set of excitations, the lowest-energy of which are the magnetorotons with dispersion minima at a finite momentum. We propose a theory of the magnetorotons on the quantum Hall plateaux near half filling, namely, at filling fractions ν = N/(2N+1) at large N. The theory involves an infinite number of bosonic fields arising from bosonizing the fluctuations of the shape of the composite Fermi surface. At zero momentum there are O(N) neutral excitations, each carrying a well-defined spin that runs integer values 2,3,…. The mixing of modes at nonzero momentum q leads to the characteristic bending down of the lowest excitation and the appearance of the magnetoroton minima. A purely algebraic argument shows that the magnetoroton minima are located at qℓB = zi/(2N+1), where ℓB is the magnetic length and zi are the zeros of the Bessel function J1, independent of the microscopic details. We argue that these minima are universal features of any two-dimensional Fermi surface coupled to a gauge field in a small background magnetic field.

Research Organization:
Univ. of Chicago, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP); Simons Foundation; European Research Council (ERC); Chicago MRSEC; National Science Foundation (NSF); ARO MURI Grant
Grant/Contract Number:
SC0009924; FG02-13ER41958; STG 279943; DMR-1420709; 63834-PH-MUR
OSTI ID:
1595714
Alternate ID(s):
OSTI ID: 1332151
Journal Information:
Physical Review Letters, Vol. 117, Issue 21; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 37 works
Citation information provided by
Web of Science

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Cited By (8)

Three-dimensional spin-3 theories based on general kinematical algebras journal January 2017
Carroll versus Galilei gravity journal March 2017
Two-dimensional Fermi liquid dynamics with density-density and quadrupolar interactions journal September 2019
Effective Abelian theory from a non-Abelian topological order in the ν = 2 / 5 fractional quantum Hall effect journal December 2019
Three-dimensional spin-3 theories based on general kinematical algebras text January 2017
Three-dimensional Spin-3 Theories Based on General Kinematical Algebras text January 2016
Bimetric Theory of Fractional Quantum Hall States text January 2017
Inner Nonlinear Waves and Inelastic Light Scattering of Fractional Quantum Hall States as Evidence of the Gravitational Anomaly text January 2017

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Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Composite fermions
Fractional quantum Hall effect
Magnetotransport
Condensed Matter & Materials Physics