Dresden 2003 – scientific programme

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TT: Tiefe Temperaturen

TT 18: Metall-Isolator-Überg
änge in Quantensystemen I

TT 18.2: Talk

Thursday, March 27, 2003, 15:00–15:15, HSZ304

Local quantum criticality of confined fermions in optical lattices — •Marcos Rigol¹, Alejandro Muramatsu¹, Georges Batrouni², and Richard Scalettar³ — ¹Institut für Theoretische Physik III, Universität Stuttgart, Pfaffenwaldring 57, D-70550 Stuttgart, Germany — ²Institut Non-Linéaire de Nice, Université de Nice–Sophia Antipolis, 1361 route des Lucioles, 06560 Valbonne, France — ³Physics Department, University of California, Davis, California 95616, USA

We study the ground state properties of 1-D fermions with repulsive contact interaction confined in harmonic traps and with an underlying lattice. Due to the harmonic trap metallic and Mott-insulating phases coexist for a wide range of parameters. The phases are characterized by a local order-parameter that shows quantum - critical behavior on entering the Mott-insulating phase. The phase diagram for these systems is analyzed.