2005•Physical Review LettersOpen access

Quantum Glassiness in Strongly Correlated Clean Systems: An Example of Topological Overprotection

Claudio Chamon

Abstract

This Letter presents solvable examples of quantum many-body Hamiltonians of systems that are unable to reach their ground states as the environment temperature is lowered to absolute zero. These examples, three-dimensional generalizations of quantum Hamiltonians proposed for topological quantum computing, (1) have no quenched disorder, (2) have solely local interactions, (3) have an exactly solvable spectrum, (4) have topologically ordered ground states, and (5) have slow dynamical relaxation rates akin to those of strong structural glasses.

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Key concepts: Quantum, Physics, Statistical physics, Ground state, Spectrum (functional analysis), Relaxation (psychology), Topology (electrical circuits), Quantum mechanics