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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

cond-mat.mes-hallarXiv:cond-mat/0303487

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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