Sen, P. ; Chakraborty, S. ; Dasgupta, Subinay ; Chakrabarti, B. K. (1992) Numerical estimate of the phase diagram of finite ANNNI chains in transverse field Zeitschrift für Physik B: Condensed Matter, 88 (3). pp. 333-338. ISSN 0722-3277
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Official URL: http://www.springerlink.com/content/r52162w122547g...
Related URL: http://dx.doi.org/10.1007/BF01470922
Abstract
We have estimated numerically the phase diagram of a one dimensional spin ½ quantum Ising model with competing nearest and next nearest neighbour interactions in presence of a transverse field. The method essentially is to diagonalise exactly the Hamiltonian for finite (≤10 spins) open chains and calculate the spin-spin correlations from the ground state eigenvector. The results obtained confirm the transition between ferromagnetic and paramagnetic phases for ℜ<0.5 and="" between="" antiphase="" and="" paramagnetic="" phase="" for="">ℜ>0.5. ( is the ratio of next nearest and nearest neighbour interactions.) The results perhaps indicate furthermore that (i) there is a disorder line passing through ℜ=0.5; (ii) the zero point quantum fluctuations destroy the order near ℜ=0.5 as the transverse field is switched on; and (iii) there is probably also a floating phase with slowly decayling correlation near the order-disorder phase boundary for ℜ>0.5.
Item Type: | Article |
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ID Code: | 44893 |
Deposited On: | 23 Jun 2011 09:27 |
Last Modified: | 23 Jun 2011 09:27 |
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