Regensburg 2007 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 33: Low-dimensional Systems - Models II

TT 33.4: Talk

Friday, March 30, 2007, 11:00–11:15, H18

Classical Transport on Lattices with Frustrated Interactions — •David Leipold and Erich Runge — TU Ilmenau, Institut für Physik, D-98693 Ilmenau

Fractionally charged quasi-particles are subject of several recent theoretical investigations studying quantum particles on lattices with frustrated interactions. Examples are the three-dimensional pyrochlore lattice and its two-dimensional counterpart, the criss-crossed checkerboard lattice [1,2]. The corresponding classical systems have highly degenerated ground states for particular occupation densities [3]. Little is known about their transport properties. We analyze electric transport for the checkerboard lattice by classical thermodynamic Monte-Carlo simulations at finite temperature, varying the external electrical field and the particle densities. We argue that the classical electric transport behavior is best interpreted in terms of fractional charged entities or quasi-particles. We confirm our numercial simulation results in various limits by analytical calculations.

[1] E. Runge and P. Fulde, Phys. Rev. B 70, 245113 (2004)

[2] F. Pollmann, P. Fulde, E. Runge, Phys. Rev. B 73, 125121 (2006)

[3] F. Pollmann, J. J. Betouras, E. Runge, Phys. Rev. B 73, 174417 (2006)