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TT: Fachverband Tiefe Temperaturen

TT 80: Correlated Electrons: Poster

TT 80.52: Poster

Thursday, March 21, 2024, 15:00–18:00, Poster E

Transverse Ising model in curved 2D geometries — •Grigorios Makris¹, Ion Cosma Fulga^2,3, and Fabian Hassler¹ — ¹Institute for Quantum Information, RWTH Aachen University, Germany — ²Institute for Theoretical Solid State Physics, IFW Dresden, Germany — ³Würzburg-Dresden Cluster of Excellence ct.qmat, Dresden, Germany

The transverse field Ising model is a prime example of a quantum phase transition. The one dimensional model has been solved analytically as it maps to a free fermion system and rigorous results for its scaling properties have been obtained. The two dimensional model has been evaluated numerically in two dimensional flat space.

Here, we study the transverse field Ising model in a curved two dimensional geometry. We investigate the finite size effects near the infinite critical point and its scaling in the thermodynamic limit.

Keywords: transverse field; Ising; curved 2D