Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2003-04-16
Physics
Condensed Matter
Strongly Correlated Electrons
8 pages, 7 figures
Scientific paper
10.1103/PhysRevB.69.064420
Using a series expansion based on the flow-equation method we study the ground state energy and the elementary triplet excitations of a generalized model of crossed spin-1/2 chains starting from the limit of decoupled quadrumers. The triplet dispersion is shown to be very sensitive to the inter-quadrumer frustration, exhibiting a line of almost complete localization as well as lines of quantum phase transitions limiting the stability of the valence-bond solid phase. In the vicinity of the checkerboard-point a finite window of exchange couplings is found with a non-zero spin-gap, consistent with known results from exact diagonalization. The ground state energy is lower than that of the bare quadrumer case for all exchange couplings investigated. In the limiting situation of the fully frustrated checkerboard magnet our results agree with earlier series expansion studies.
Brenig Wolfram
Grzeschik Matthias
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