We reformulate the Tomonaga–Luttinger liquid theory for quasi-one-dimensional Fermion systems with many subbands across the Fermi energy. Our theory enables us to obtain a rigorous expression of the local density of states (LDOS) for general multichannel quantum wires, describing how the power-law anomalies of the LDOS depend on inter- and intra-subbands couplings as well as the Fermi velocity of each band. The resulting formula for the exponents is valid in the cases of both bulk contact and edge contact, and thus plays a fundamental role in the physical properties of multicomponent Tomonaga–Luttinger liquid systems.

• Received 1 February 2011

DOI:https://doi.org/10.1103/PhysRevB.84.075443