The Quantum Hall Effect occurs in two-dimensional electron systems subjected to low temperatures and strong magnetic fields. It is characterized by quantized Hall conductance, which takes on discrete values with extraordinary precision. This phenomenon arises from the formation of Landau levels and quantum coherence of electrons. The quantum Hall effect provided one of the earliest examples of a topological phase of matter. It has deep theoretical significance and practical importance in defining resistance standards. The robustness of quantization against impurities makes it a remarkable quantum phenomenon. The quantum Hall effect laid the foundation for modern topological physics and continues to influence condensed matter research.
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