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Two-dimensional electron system in high magnetic fields: Wigner crystal vs. composite-fermion liquid

Sudhansu S. Mandal·Michael R. Peterson·Jainendra K. Jain
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Abstract

The two dimensional system of electrons in a high magnetic field offers an opportunity to investigate a phase transition from a quantum liquid into a Wigner solid. Recent experiments have revealed an incipient composite fermion liquid in a parameter range where theory and many experiments had previously suggested the Wigner crystal phase, thus calling into question our current understanding. This Letter shows how very small quantitative corrections (< 1%) in the energy due to the weak interaction between composite fermions can cause a fundamental change in the nature of the ground state, thus providing insight into the puzzling experimental results.

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Sudhansu S. Mandal, Michael R. Peterson, Jainendra K. Jain. 2003-03-22. Two-dimensional electron system in high magnetic fields: Wigner crystal vs. composite-fermion liquid. https://doi.org/10.1103/physrevlett.90.106403

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