I analyze electron transport through a Y junction formed by helical edge states of a two-dimensional topological insulator (2DTI), focusing on the strongly interacting regime. An experimentally motivated device geometry and a spin-conserving tunneling Hamiltonian are proposed. I compute the conductance tensor and show that, for specific tunneling phases and strong repulsive interactions ($g<1/2$), transport is governed by an intermediate renormalization group fixed point that interpolates between the weak- and strong-tunneling limits. These results extend previous studies of point-contact tunneling and demonstrate how interactions qualitatively modify the transport properties of multiterminal topological devices.

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• Edge states
• Electrical conductivity
• Geometric & topological phases
• Topological materials
• Topological insulators
• Two-dimensional electron system
• Bogoliubov-de Gennes equations
• Bosonization
• Conformal field theory
• Duality
• Landauer formula
• Luttinger liquid model
• Renormalization group
• S-matrix method in transport