Revisitation of the Lock-In Transition in One-Dimensional Charge-Density Waves

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We studied the lock-in transition of charge-density waves of one-dimensional conductors. Though this phenomenon has been known for decades, there are still discrepancies between the theories and the experiments. We focused on the pioneering study of this phenomenon by McMillan and revisited, in particular, his numerical calculations. We first reproduced his results by providing unwritten information in the article. The obtained critical point was in good agreement with the previous study, as well as the analytical solution proposed later. We found a simple power-law behavior of the free energy in the critical regime, leading to the power-law divergence of the specific heat. We also introduced the concept of stiffness, equivalent to helicity modulus, which also showed a power-law behavior. These results allowed us to propose a new perspective on the lock-in transition.

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