Fractionally charged excitations on frustrated lattices

Details Fractionally charged excitations on frustrated lattices Fractionally charged excitations on frustrated lattices

2007-04-04

arxiv.org/abs/0704.0521v1

Physics

Condensed Matter

Strongly Correlated Electrons

submitted to the proceedings of cmt30

Scientific paper

10.1142/S0217979207043609

Systems of strongly correlated fermions on certain geometrically frustrated lattices at particular filling factors support excitations with fractional charges $\pm e/2$. We calculate quantum mechanical ground states, low--lying excitations and spectral functions of finite lattices by means of numerical diagonalization. The ground state of the most thoroughfully studied case, the criss-crossed checkerboard lattice, is degenerate and shows long--range order. Static fractional charges are confined by a weak linear force, most probably leading to bound states of large spatial extent. Consequently, the quasi-particle weight is reduced, which reflects the internal dynamics of the fractionally charged excitations. By using an additional parameter, we fine--tune the system to a special point at which fractional charges are manifestly deconfined--the so--called Rokhsar--Kivelson point. For a deeper understanding of the low--energy physics of these models and for numerical advantages, several conserved quantum numbers are identified.

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