nLab Jainendra K. Jain

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Selected writings

A microscopic model of the fractional quantum Hall effect as the integer quantum Hall effect for composite fermion (CF) quasi-particles:

• Jainendra K. Jain: Composite-fermion approach for the fractional quantum Hall effect, Phys. Rev. Lett. 63 (1989) 199 [doi:10.1103/PhysRevLett.63.199]

• Jainendra K. Jain: Microscopic theory of the fractional quantum Hall effect, Adv. Phys. 41 (1992) 105-146 [doi:10.1080/00018739200101483]

• Jainendra K. Jain: Composite Fermions, Cambridge University Press (2007) [doi:10.1017/CBO9780511607561, §5:pdf, §9:pdf, §12:pdf]

• Jainendra K. Jain: A note contrasting two microscopic theories of the fractional quantum Hall effect, Indian J of Phys 88 (2014) 915-929 [doi:10.1007/s12648-014-0491-9, arXiv:1403.5415]

and, at more general filling fractions, as a fractional quantum Hall effect of composite fermions:

• C.-C Chang, Jainendra K. Jain: Microscopic origin of the next generation fractional quantum Hall effect, Phys. Rev. Lett. 92 (2004) 196806 [doi:10.1103/PhysRevLett.92.196806, arXiv:cond-mat/0404079]

Review:

• Jainendra K. Jain: Thirty Years of Composite Fermions and Beyond, chapter 1 in: Halperin & Jain 2020, Fractional Quantum Hall Effects – New Developments, World Scientific (2020) [arXiv:2011.13488, doi:10.1142/11751]

On the anyon braiding phase in fractional quantum Hall systems:

• A. S. Goldhaber, Jainendra K. Jain: Characterization of fractional-quantum-Hall-effect quasiparticles, Physics Letters A 199 3–4 (1995) 267-273 [doi:10.1016/0375-9601(95)00101-8, arXiv:cond-mat/9501080]

On the $\nu = 5/2$ FQH state:

• Jainendra K. Jain: The $5/2$ enigma in a spin?, Physics 3 (2010) 71 [doi:10.1103/Physics.3.71, pdf]

On the fractional quantum Hall effect:

• Bertrand I. Halperin, Jainendra K. Jain (eds.): Fractional Quantum Hall Effects – New Developments, World Scientific (2020) [doi:10.1142/11751]

On the graviton-like excitation of FQH systems (cf. effective supersymemtry in FQH systems):

• Ajit C. Balram, G. J. Sreejith, Jainendra K. Jain: Splitting of Girvin-MacDonald-Platzman density wave and the nature of chiral gravitons in fractional quantum Hall effect, Phys. Rev. Lett. 133 (2024) 246605 [doi:10.1103/PhysRevLett.133.246605, arXiv:2406.02730]

On bound states of anyons in fractional quantum Hall systems:

• Mytraya Gattu, Jainendra K. Jain: Molecular anyons in fractional quantum Hall effect [arXiv:2505.22782]

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