Near-commensuration from Intertwined Charge Density Waves in Single-Layer TiSe<sub>2</sub>.

Wan, Wen; Gastiasoro, Maria N; Muñoz-Segovia, Daniel; Dreher, Paul; Ugeda, Miguel M; de Juan, Fernando · Nano Lett · 2026

basic_science · Level V

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Abstract

When the period of an incommensurate charge density wave (ICDW) approaches a multiple of a lattice vector, the energy gain from locking the period can drive a transition into an intermediate near-commensurate (NC) state made of locally commensurate regions separated by phase slips of a complex CDW. In TiSe<sub>2</sub>, a paradigmatic CDW system, incommensuration is believed to be induced by carrier doping, yet its putative NC state has never been imaged. Here we observe a striking NC state in ultraclean, doped monolayers of TiSe<sub>2</sub>, displaying an intricate network of unidirectional domain walls. Detailed analysis reveals that these are not phase slips of a complex CDW, but rather sign-changing Ising-type domain walls of two coupled real CDWs of different symmetry. In addition, these CDWs are coupled to an unexpected nematic modulation at the lattice Bragg peaks. TiSe<sub>2</sub> is thus a rare example of a NC-CDW of two intertwined real modulations with nematicity.