Composite fermions in a negative effective magnetic field: A Monte Carlo study

Möller, Gunnar, Simon, Steven H (2005) Composite fermions in a negative effective magnetic field: A Monte Carlo study. Physical Review B: Condensed Matter and Materials Physics, 72 (4). 045344. ISSN 0163-1829. (doi:10.1103/PhysRevB.72.045344)

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http://dx.doi.org/10.1103/PhysRevB.72.045344

Abstract

The method of Jain and Kamilla [PRB 55, R4895 (1997)] allows numerical generation of composite fermion trial wavefunctions for large numbers of electrons in high magnetic fields at filling fractions of the form $\nu=p/(2mp+1)$ with $m$ and $p$ positive integers. In the current paper we generalize this method to the case where the composite fermions are in an effective (mean) field with opposite sign from the actual physical field, i.e. when $p$ is negative. We examine both the ground state energies and the low energy neutral excitation spectra of these states. Using particle-hole symmetry we can confirm the correctness of our method by comparing results for the series $m=1$ with $p>0$ (previously calculated by others) to our results for the conjugate series $m=1$ with $p <0$. Finally, we present similar results for ground state energies and low energy neutral excitations for the states with $m=2$ and $p <0$ which were not previously addressable, comparing our results to the $m=1$ case and the $p > 0$, $m=2$ cases.

Item Type: Article 10.1103/PhysRevB.72.045344 Physics of Quantum Materials Q Science > QC Physics > QC173.45 Condensed Matter Faculties > Sciences > School of Physical Sciences > Functional Materials Group Gunnar Moller 05 Dec 2017 15:29 UTC 05 Jul 2019 10:42 UTC https://kar.kent.ac.uk/id/eprint/55535 (The current URI for this page, for reference purposes) https://orcid.org/0000-0001-8986-0899