Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-01-19
New J.Phys. 12 (2010) 025008 (10pp)
Physics
Condensed Matter
Statistical Mechanics
5 pages, 2 figures, and 3 tables.
Scientific paper
10.1088/1367-2630/12/2/025008
The global geometric entanglement is studied in the context of newly-developed tensor network algorithms for finite systems. For one-dimensional quantum spin systems it is found that, at criticality, the leading finite-size correction to the global geometric entanglement per site behaves as $b/n$, where $n$ is the size of the system and $b$ a given coefficient. Our conclusion is based on the computation of the geometric entanglement per spin for the quantum Ising model in a transverse magnetic field and for the spin-1/2 XXZ model. We also discuss the possibility of coefficient $b$ being universal.
Fjaerestad John Ove
Orus Roman
Shi Qian-Qian
Zhou Huan-Qiang
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