The energy of interacting one-dimensional bosons: discontinuous surface tension on vicinal crystal surfaces

2016 Fiscal Year Final Research Report

• Project/Area Number: 25400413
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Osaka Electro-Communication University
• Principal Investigator: Akutsu Noriko 大阪電気通信大学, 工学部, 教授 (40167862)
• Project Period (FY): 2013-04-01 – 2017-03-31
• Keywords: ファセット化したマクロステップ / 表面張力 / 1次元ボーズ粒子系 / 密度行列繰り込み群 / 積波動関数繰り込み群 / 結晶微斜面 / モンテカルロ計算 / 統計熱力学

Outline of Final Research Achievements

(1)We calculated the surface tension of the restricted solid-on-solid model with point-contact-type step-step attraction (p-RSOS model) by using the density matrix renormalization group method. We showed that the surface tension of the p-RSOS model is discontinuous at low temperatures. The relationship between the discontinuous surface tension and the equilibrium crystal shape or the morphology of a vicinal surface has been clarified. The faceting diagram was obtained by using the results of this relationship.
(2)Based on the inverse process of the quantum Monte Carlo method, the steps on the p-RSOS model is mapped to one-dimensional quasi-impenetrable (QI) bosons at zero temperature. The QI bosons behave like classical particle when the corresponding surface system is below the roughening temperature Tr of the (001) surface. The QI bosons solidify or liquefy to the parameters corresponding to the values below Tr.

Free Research Field

表面・界面の統計熱力学