Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2001-08-28
Physica A 299/3-4, 107-120 (2001)
Physics
Condensed Matter
Strongly Correlated Electrons
12 pages (LaTeX), 7 figures, 3 tables, to appear in Physica A
Scientific paper
10.1016/S0378-4371(01)00318-1
We present an exact diagonalization study of the quantum Heisenberg antiferromagnet on the fractal Sierpinski gasket for spin quantum numbers s=1/2,s=1 and s=3/2. Since the fractal dimension of the Sierpinski gasket is between one and two we compare the results with corresponding data of one- and two-dimensional systems. By analyzing the ground-state energy, the low-lying spectrum, the spin-spin correlation and the low-temperature thermodynamics we find arguments, that the Heisenberg antiferromagnet on the Sierpinski gasket is probably disordered not only in the extreme quantum case s=1/2 but also for s=1 and s=3/2. Moreover, in contrast to the one-dimensional chain we do not find a distinct behavior between the half-integer and integer-spin Heisenberg models on the Sierpinski gasket. We conclude that magnetic disorder may appear due to the interplay of frustration and strong quantum fluctuations in this spin system with spatial dimension between one and two.
Richter Johannes
Tomczak Piotr
Voigt Andreas
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