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Finite-temperature spectroscopy of dirty helical Luttinger liquids

TitleFinite-temperature spectroscopy of dirty helical Luttinger liquids
Publication TypeJournal Article
Year of Publication2020
AuthorsT-C. Hsieh, Y-Z. Chou, and L. Radzihovsky
JournalPhys. Rev. B
Date PublishedAUG 27
Type of ArticleArticle

We develop a theory of finite-temperature momentum-resolved tunneling spectroscopy (MRTS) for disordered, interacting, two-dimensional, topological-insulator edges. The MRTS complements conventional electrical transport measurement in characterizing the properties of the helical Luttinger liquid edges. Using the standard bosonization technique, we study low-energy spectral function and the MRTS tunneling current, providing a detailed description controlled by disorder, interaction, and temperature, taking into account Rashba spin-orbit coupling, interedge interaction, and distinct edge velocities. Our theory provides a systematic description of the spectroscopic signals in the MRTS measurement we hope will stimulate future experimental studies on the two-dimensional time-reversal invariant topological insulator.