Lo, Chung YuChung YuLoFukusumi, YoshikiYoshikiFukusumiOshikawa, MasakiMasakiOshikawaYING-JER KAO2019-07-302019-07-302019-03-0724699950https://scholars.lib.ntu.edu.tw/handle/123456789/415607© 2019 American Physical Society. An impurity in a Tomonaga-Luttinger liquid leads to a crossover between the short- and long-distance regime which describes many physical phenomena. However, a calculation of the entire crossover of correlation functions over different length scales has been difficult. We develop a powerful numerical method based on the infinite density matrix renormalization group. By utilizing infinite boundary conditions we can obtain correlation functions within a finite-size window that contains the impurity. For the S=1/2 chain, we demonstrate that a full crossover can be precisely obtained, and that their limiting behaviors show a good agreement with field-theory predictions.Physics - Strongly Correlated Electrons; Physics - Strongly Correlated Electrons10.1103/PhysRevB.99.1211032-s2.0-85062699972WOS:000460723600001https://api.elsevier.com/content/abstract/scopus_id/85062699972