Papers
Topics
Authors
Recent
Assistant
AI Research Assistant
Well-researched responses based on relevant abstracts and paper content.
Custom Instructions Pro
Preferences or requirements that you'd like Emergent Mind to consider when generating responses.
Gemini 2.5 Flash
Gemini 2.5 Flash 134 tok/s
Gemini 2.5 Pro 41 tok/s Pro
GPT-5 Medium 26 tok/s Pro
GPT-5 High 22 tok/s Pro
GPT-4o 93 tok/s Pro
Kimi K2 205 tok/s Pro
GPT OSS 120B 426 tok/s Pro
Claude Sonnet 4.5 37 tok/s Pro
2000 character limit reached

Identification and Control of Neutral Anyons (2410.24208v1)

Published 31 Oct 2024 in cond-mat.mes-hall

Abstract: Beyond the well-known fermions and bosons, anyons-an exotic class of particles-emerge in the fractional quantum Hall effect and exhibit fractional quantum statistics. Anyons can be categorized by their charge, with extensive research focused on those carrying fractional charge, while charge-neutral anyons in 2D electron liquids remain largely unexplored. Here, we introduce bilayer excitons as a new pathway to realizing charge-neutral anyons. By pairing quasiparticles and quasiholes from Laughlin states, we report bilayer excitons that obey fractional quantum statistics. Through layer-asymmetric field-effect doping, we achieve precise control of the anyon population, stabilizing anyonic dipoles at temperatures below the charge gap. Furthermore, we investigate neutral anyons in even-denominator FQHE states, which are likely described by non-Abelian wavefunctions. These findings open the door to exploring non-Abelian statistics in neutral anyons, with the potential to reshape future research in topological quantum phases.

Definition Search Book Streamline Icon: https://streamlinehq.com
References (56)
  1. Li, J. et al. Pairing states of composite fermions in double-layer graphene. Nature Physics 15, 898–903 (2019).
  2. Liu, X. et al. Interlayer fractional quantum hall effect in a coupled graphene double layer. Nature Physics 15, 893–897 (2019).
  3. Luttinger, J. Fermi surface and some simple equilibrium properties of a system of interacting fermions. Physical Review 119, 1153 (1960).
  4. Bose-einstein condensation of excitons. Phys. Rev. 126, 1691–1692 (1962).
  5. Feasibility of superfluidity of paired spatially separated electrons and holes; a new superconductivity mechanism. JETP Lett. 22, 274–276 (1975).
  6. A new mechanism for superconductivity: pairing between spatially separated electrons and holes. JETP Lett. 44, 389–397 (1976).
  7. Two-dimensional magnetotransport in the extreme quantum limit. Phys. Rev. Lett. 48, 1559–1562 (1982).
  8. Wilczek, F. Magnetic flux, angular momentum, and statistics. Physical Review Letters 48, 1144 (1982).
  9. Wilczek, F. Quantum mechanics of fractional-spin particles. Physical review letters 49, 957 (1982).
  10. Fractional statistics and the quantum hall effect. Physical review letters 53, 722 (1984).
  11. Fractional charge and fractional statistics in the quantum Hall effects. Rep. Prog. Phys. 84, 076501 (2021).
  12. de Picciotto, R. et al. Direct observation of a fractional charge. Nature 389, 162–164 (1997).
  13. Observation of quasiparticles with one-fifth of an electron’s charge. Nature 399, 238–241 (1999).
  14. Observation of a quarter of an electron charge at the ν𝜈\nuitalic_ν= 5/2 quantum hall state. Nature 452, 829–834 (2008).
  15. Non-abelian anyons and topological quantum computation. Rev. Mod. Phys. 80, 1083–1159 (2008).
  16. Banerjee, M. et al. Observed quantization of anyonic heat flow. Nature 545, 75 (2017).
  17. Banerjee, M. et al. Measurements of the thermal edge conductance in a fractional quantized hall state, with very surprising results at ν𝜈\nuitalic_ν= 5/2. Nature 545, 77 (2017).
  18. Excitonic superfluid phase in double bilayer graphene. Nat. Phys. 13, 751–755 (2017).
  19. Quantum hall drag of exciton condensate in graphene. Nat. Phys. 13, 746–750 (2017).
  20. Liu, X. et al. Crossover between strongly coupled and weakly coupled exciton superfluids. Science 375, 205–209 (2022).
  21. Exciton condensation and perfect coulomb drag. Nature 488, 481–484 (2012).
  22. Eisenstein, J. P. Exciton condensation in bilayer quantum hall systems. Annu. Rev. of Condens. Matter Phys. 5, 159–181 (2014).
  23. Zeng, Y. et al. Evidence for a superfluid-to-solid transition of bilayer excitons. arXiv preprint arXiv:2306.16995 (2023).
  24. Zhang, N. J. et al. Excitons in the fractional quantum hall effect. arXiv preprint arXiv:2407.18224 (2024).
  25. Jain, J. K. Composite fermions (Cambridge University Press, 2003).
  26. The fractional quantum hall effect. Science 248, 1510–1516 (1990).
  27. Halperin, B. I. Theory of the quantized hall conductance. Helvetica Physica Acta 56, 75–102 (1983).
  28. Neutral superfluid modes and “magnetic” monopoles in multilayered quantum hall systems. Phys. Rev. Lett. 69, 1811–1814 (1992).
  29. On anyon superconductivity. International Journal of Modern Physics B 3, 1001–1067 (1989).
  30. Anyon superconductivity and the fractional quantum hall effect. Physical review letters 63, 903 (1989).
  31. Bilayer quantum hall systems at νT=1subscript𝜈𝑇1{\nu}_{T}=1italic_ν start_POSTSUBSCRIPT italic_T end_POSTSUBSCRIPT = 1: Coulomb drag and the transition from weak to strong interlayer coupling. Phys. Rev. Lett. 90, 246801 (2003).
  32. Vanishing hall resistance at high magnetic field in a double-layer two-dimensional electron system. Phys. Rev. Lett. 93, 036801 (2004).
  33. Counterflow measurements in strongly correlated gaas hole bilayers: Evidence for electron-hole pairing. Phys. Rev. Lett. 93, 036802 (2004).
  34. Pan, W. et al. Fractional quantum hall effect of composite fermions. Phys. Rev. Lett. 90, 016801 (2003).
  35. Xia, J. et al. Electron correlation in the second landau level: A competition between many nearly degenerate quantum phases. Physical review letters 93, 176809 (2004).
  36. Fractional quantum hall effect at landau level filling ν𝜈\nuitalic_ν= 4/11. Physical Review B 91, 041301 (2015).
  37. Bellani, V. et al. Optical detection of quantum hall effect of composite fermions and evidence of the ν𝜈\nuitalic_ν= 3/8 state. Physical Review B—Condensed Matter and Materials Physics 81, 155316 (2010).
  38. Observation of incompressibility at ν𝜈\nuitalic_ν= 4/11 and ν𝜈\nuitalic_ν= 5/13. Physical Review B 91, 081109 (2015).
  39. Possible pairing-induced even-denominator fractional quantum hall effect in the lowest landau level. Phys. Rev. Lett. 88, 216804 (2002).
  40. Possible anti-pfaffian pairing of composite fermions at ν=3/8𝜈38\nu=3/8italic_ν = 3 / 8. Phys. Rev. Lett. 109, 256801 (2012).
  41. Possible realization of a chiral p-wave paired state in a two-component system. Phys. Rev. B 90, 121305 (2014).
  42. Fractional quantum hall hierarchy and the second landau level. Physical Review B—Condensed Matter and Materials Physics 78, 125323 (2008).
  43. Wang, C. et al. Even-denominator fractional quantum hall state at filling factor ν𝜈\nuitalic_ν= 3/4. Physical review letters 129, 156801 (2022).
  44. Wang, C. et al. Next-generation even-denominator fractional quantum hall states of interacting composite fermions. Proceedings of the National Academy of Sciences 120, e2314212120 (2023).
  45. Wang, C. et al. Fractional quantum hall state at filling factor ν𝜈\nuitalic_ν= 1/4 in ultra-high-quality gaas two-dimensional hole systems. Physical review letters 131, 266502 (2023).
  46. Zibrov, A. et al. Even-denominator fractional quantum hall states at an isospin transition in monolayer graphene. Nature Physics 1 (2018).
  47. Zeng, Y. et al. High-quality magnetotransport in graphene using the edge-free corbino geometry. Phys. Rev. Lett. 122, 137701 (2019).
  48. Chen, S. et al. Competing fractional quantum hall and electron solid phases in graphene. Physical review letters 122, 026802 (2019).
  49. Polshyn, H. et al. Quantitative transport measurements of fractional quantum hall energy gaps in edgeless graphene devices. Phys. Rev. Lett. 121, 226801 (2018).
  50. Composite fermion pairing induced by landau level mixing. Physical review letters 130, 186302 (2023).
  51. Please see the supplementary materials .
  52. XY* Transition and extraordinary boundary criticality from fractional exciton condensation in quantum hall bilayer. Phys. Rev. X 13, 031023 (2023).
  53. Wen, X.-G. Quantum field theory of many-body systems: From the origin of sound to an origin of light and electrons (OUP Oxford, 2004).
  54. Impurity scattering and transport of fractional quantum hall edge states. Physical Review B 51, 13449 (1995).
  55. Quantum hall physics: Hierarchies and conformal field theory techniques. Reviews of Modern Physics 89, 025005 (2017).
  56. Hutasoit, J. A. et al. The enigma of the ν𝜈\nuitalic_ν= 2+ 3/8 fractional quantum hall effect. Physical Review B 95, 125302 (2017).

Summary

We haven't generated a summary for this paper yet.

Ai Sparkles Streamline Icon: https://streamlinehq.com Summarize Now
Dice Question Streamline Icon: https://streamlinehq.com

Open Problems

We haven't generated a list of open problems mentioned in this paper yet.

Ai Sparkles Streamline Icon: https://streamlinehq.com Generate Now
Lightbulb Streamline Icon: https://streamlinehq.com

Continue Learning

We haven't generated follow-up questions for this paper yet.

Ai Sparkles Streamline Icon: https://streamlinehq.com Generate Now
List To Do Tasks Checklist Streamline Icon: https://streamlinehq.com

Collections

Sign up for free to add this paper to one or more collections.

User Circle Single Streamline Icon: https://streamlinehq.com Sign Up
X Twitter Logo Streamline Icon: https://streamlinehq.com

Tweets

This paper has been mentioned in 1 tweet and received 1 like.

Upgrade to Pro to view all of the tweets about this paper:

Start a free 7-day Pro trial