Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-12-16
Physics
Condensed Matter
Strongly Correlated Electrons
Proceedings of the 24th Solvay conference on physics - "Quantum theory of condensed matter", Brussels, 11 - 13 October 2008
Scientific paper
Characterizing and accessing quantum phases of itinerant bosons or fermions in two dimensions (2D) that exhibit singular structure along surfaces in momentum space but have no quasi-particle description remains as a central challenge in the field of strongly correlated physics. Fortuitously, signatures of such 2D strongly correlated phases are expected to be manifest in quasi-one-dimensional "$N$-leg ladder" systems. The ladder discretization of the transverse momentum cuts through the 2D surface, leading to a quasi-1D descendant state with a set of low-energy modes whose number grows with the number of legs and whose momenta are inherited from the 2D surfaces. These multi-mode quasi-1D liquids constitute a new and previously unanticipated class of quantum states interesting in their own right. But more importantly they carry a distinctive quasi-1D "fingerprint" of the parent 2D quantum fluid state. This can be exploited to access the 2D phases from controlled numerical and analytical studies in quasi-1D models. The preliminary successes and future prospects in this endeavor will be briefly summarized.
Fisher Matthew P. A.
Motrunich Olexei I.
Sheng Donna N.
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