Composite particle construction of the Fibonacci fractional quantum Hall state

Goldman, Hart; Sohal, Ramanjit; Fradkin, Eduardo

doi:10.1103/physrevb.103.235118

Cited by 3 publications

(2 citation statements)

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“…The expectation values of Wilson loop operators of this theory compute the Jones polynomials which are topological invariants of knot theory [165]. The connection with SU2) k Chern-Simons gauge theory has been essential in formulating effective low energy quantum field theories for the non-abelian states [298,299,300,301,302,303].…”

Section: Fractional Quantum Hall Wave Functions and Conformal Field T...mentioning

confidence: 99%

“…For instance, Goldman and myself [361] used the web of dualities to explain the experimentally observed self-duality at fractional quantum Hall plateau transitions, which was a long standing puzzle. It has also provided a powerful new tool to derive effective field theories of non-abelian fractional quantum Hall states [301] and even to propose novel states with a single (Fibonacci) anyon [303].…”

Section: Scalar Qed In 3dmentioning

confidence: 99%

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Field Theoretic Aspects of Condensed Matter Physics: An Overview

Fradkin¹

2023

Preprint

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In this chapter I discuss the impact of concepts of Quantum Field Theory in modern Condensed Physics. Although the interplay between these two areas is certainly not new, the impact and mutual cross-fertilization has certainly grown enormously with time, and quantum Field Theory has become a central conceptual tool in Condensed Matter Physics. In this chapter I cover how these ideas and tools have influenced our understanding of phase transitions, both classical and quantum, as well as topological phases of matter, and dualities.

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