Heime Müller was born in 1970 in Hamburg, Germany, where he received his first violin lessons with Marianne Petersen. At the age of 14, he was a preparatory student at the Musikhochschule Lübeck with Uwe-Martin Haiberg. He received further violin education from Ulf Hoelscher and Nora Chastain and in masterclasses with Hermann Krebbers, Ida Haendel and Eduard Schmieder.

From 1991 to 2007, Heime Müller was 1st and 2nd violinist in the Artemis Quartet. Teachers and mentors of the quartet were Walter Levin and the Alban Berg Quartet. Decisive impulses also came from György Kurtág, the Juilliard and Emerson Quartet. The quartet won the Deutscher Musikwettbewerb, a 1st prize at the ARD Competition in Munich and the Premio Paolo Borciani. Heime Müller has performed around 900 concerts in the Artemis Quartet on all major chamber music concert venues in the world. One can hear recordings of Heime Müller on many releases from Virgin Classics, which have been awarded the Deutscher Schallplattenpreis, the Diapason d’Or, Choc du monde and the Echo Award. With the Artemis Quartet, two films directed by the famous music filmmaker Bruno Monsaingeon have been made: “Death and the Maiden” and “Strings Attached.” Chamber music partners have been, among others, Sabine Meyer, David Geringas, Barbara Westphal, Juliane Banse, Elisabeth Leonskaya, Leif Ove Andsnes and Truls Mørk.

Since leaving the quartet for health reasons, Heime Müller now focuses on teaching. He was Professor for Violin and Chamber Music at the Universität der Künste Berlin and since 2009, has held the same position at the Musikhochschule Lübeck. He also teaches string quartets at the Escuela Superior de Música Reina Sofía in Madrid. He gives violin and chamber music courses, e.g. for the Oberstdorf Music Summer, for ProQuartet and for the ECMA. He is Artistic Director of the International Chamber Music Campus of the  Jeunesses Musicales in Weikersheim, one of the most important and traditional chamber music courses anywhere.
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Heime Müller has transcribed several works by Alban Berg. He wrote a version for string sextet of the Piano Sonata  Op. 1  and transcribed the song cycles “Sieben frühe Lieder” and Op. 2 for voice and string quartet.
There is also a transcription of the Rückert-Lieder by Gustav Mahler for voice and string septet.