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TT: Tiefe Temperaturen

TT 29: Transport: Quantum Coherence and Quantum Information Systems - Part 1

TT 29.11: Talk

Thursday, March 30, 2006, 12:30–12:45, HSZ 304

Entanglement scaling in critical two-dimensional fermionic and bosonic systems — •Ming-Chiang Chung — Institut für Theoretische Physik C RWTH Aachen D-52074 Aachen Germany

We study the scaling of entanglement in critical two-dimensional (2D) fermionic and bosonic systems at zero temperature. Our method, which uses coherent states and Green function matrices, is introduced in detail. Examining exactly solvable models, we find that the entanglement entropy for critical 2D systems scales with the linear system size L like S ∼ L lnL for fermions and S ∼ L for bosons. For fermions the coefficient of the leading divergence is a function of the chemical potential. We also confirm previous results for noncritical systems.