Abstract:We present a new class of quantum phase transitions that refer neither to local order parameter and critical fluctuations nor to continuous symmetry breaking but are assigned by the step-wise change in topology of the multi-particle system expressed in homotopy terms.The energy for homotopy phases changes in a step-wise manner and the different homotopies induce specific correlations in planar interacting multi-particle system representing different commesurability patterns of quantum incompressible states. We… Show more
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