Arctic Curve of the Free-Fermion Six-Vertex Model in an L-Shaped Domain

• Published in: Journal of Statistical Physics
• Main Authors: Colomo, F., Pronko, A., Sportiello, A.
• Other Authors: Istituto Nazionale di Fisica Nucleare, Sezione di Firenze (INFN, Sezione di Firenze), Istituto Nazionale di Fisica Nucleare (INFN), Steklov Mathematical Institute Moscow (SMI), Russian Academy of Sciences Moscow (RAS), Université Sorbonne Paris Nord
• Format: Article in Journal/Newspaper
• Language: English
• Published: HAL CCSD 2019
• Subjects: [PHYS.COND]Physics [physics]/Condensed Matter [cond-mat]; Arctic
• Online Access: https://hal.science/hal-03205773; https://hal.science/hal-03205773/document; https://hal.science/hal-03205773/file/1807.07549_forhal.pdf; https://doi.org/10.1007/s10955-018-2170-2

International audience We consider the six-vertex model in an L-shaped domain of the square lattice, with domain wall boundary conditions, in the case of freefermion vertex weights. We describe how the recently developed 'Tangent method' can be used to determine the form of the arctic curve. The obtained result is in agreement with numerics.