Publication

Resonating-valence-bond physics and topological order in two dimensions: from dimer models to high-temperature superconductivity

2009
Conference Papers

Abstract

The notion of Z(2) topological order in two-dimensional resonating-valence-bond systems is reviewed. Using quantum dimer models as an example, I discuss general properties of the topological order and the resulting vortex-like excitations (visons). Some connections to theories of frustrated magnetism and of high-temperature superconductivity are pointed out.

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2009
Conference Papers

Abstract

Official source

Related concepts (24)

High-temperature superconductivity

High-temperature superconductors (abbreviated high-Tc or HTS) are defined as materials with critical temperature (the temperature below which the material behaves as a superconductor) above , the boiling point of liquid nitrogen. They are only "high-temperature" relative to previously known superconductors, which function at even colder temperatures, close to absolute zero. The "high temperatures" are still far below ambient (room temperature), and therefore require cooling.

Superconductivity

Superconductivity is a set of physical properties observed in certain materials where electrical resistance vanishes and magnetic fields are expelled from the material. Any material exhibiting these properties is a superconductor. Unlike an ordinary metallic conductor, whose resistance decreases gradually as its temperature is lowered, even down to near absolute zero, a superconductor has a characteristic critical temperature below which the resistance drops abruptly to zero.

Topological order

In physics, topological order is a kind of order in the zero-temperature phase of matter (also known as quantum matter). Macroscopically, topological order is defined and described by robust ground state degeneracy and quantized non-Abelian geometric phases of degenerate ground states. Microscopically, topological orders correspond to patterns of long-range quantum entanglement. States with different topological orders (or different patterns of long range entanglements) cannot change into each other without a phase transition.

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Resonating-valence-bond physics and topological order in two dimensions: from dimer models to high-temperature superconductivity

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