Landau theory of 2nd order phase transitions supplemented by the scaling theory of critical fluctuations in a nearest vicinity of critical temperature T_c was accepted as a universal paradigm for description of phase transitions with broken symmetry.
During recent decade new materials and low-dimensional artificial structures where found, where phase transitions can occur at T_c -> 0. In these materials (i) the "nearest vicinity" of zero T_c can extend up to room temperatures; (ii) several order parameter may compete, so that the notion of broken symmetry should be revisited; (iii) some of these transitions cannot be described by conventional order parameter. "Quantum criticality" is the label used to denote the paradigm which is expected to arise as a result of study of these exotic systems.
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