Roughening and preroughening transitions in crystal surfaces with double-height steps

Details Roughening and preroughening transitions in crystal surfaces with double-height steps Roughening and preroughening transitions in crystal surfaces with double-height steps

2000-01-11

arxiv.org/abs/cond-mat/0001128v1

Phys. Rev. E Vol. 61, 77 (2000)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures

Scientific paper

10.1103/PhysRevE.61.77

We investigate phase transitions in a solid-on-solid model where double-height steps as well as single-height steps are allowed. Without the double-height steps, repulsive interactions between up-up or down-down step pairs give rise to a disordered flat phase. When the double-height steps are allowed, two single-height steps can merge into a double-height step (step doubling). We find that the step doubling reduces repulsive interaction strength between single-height steps and that the disordered flat phase is suppressed. As a control parameter a step doubling energy is introduced, which is assigned to each step doubling vertex. From transfer matrix type finite-size-scaling studies of interface free energies, we obtain the phase diagram in the parameter space of the step energy, the interaction energy, and the step doubling energy.

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