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A novel exponent in the Equilibrium Shape of Crystals

1998/02/13 by Sílvio R. Dahmen, S. R. Dahmen, Birgit Wehefritz +6
Materials Science · Physics and Astronomy · #Block Copolymer Self-Assembly #FOS: Physical sciences #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/9802152

10 pages, LaTeX, 4 figures

arxiv created 1998/02/13 · openalex publication_date 1998/02/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A new exponent characterizing the rounding of crystal facets is found by mapping a crystal surface onto the asymmetric six-vertex model (i.e. with external fields h and v) and using the Bethe Ansatz to obtain appropriate expansions of the free energy close to criticality. Leading order exponents in δh, δv are determined along the whole phase boundary and in an arbitrary direction. A possible experimental verification of this result is discussed.

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