Density of states anomalies in multichannel quantum wires

Abstract

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 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 case of both bulk contact and edge contact, and thus plays a fundamental role in the physical properties of multicomponent Tomonaga-Luttinger liquid systems.

Tomonaga-Luttinger liquid theory for metallic fullurene polymers

“…It is because the electronic correlation is effectively suppressed with increasing the Fermi velocity. 35 Furthermore, for a given v 1 , λ (b/e) (1) falls behind λ (b/e) (2) at any v 2 . Our numerical data of v 1 and v 2 for the FP6L model (see Table I) allow to estimate the exponents for the band structure I as:…”

“…( 38) indicates the possibility that edge-contact measurements will give an exponent greater than one, as implied by eqs. ( 34) and (35). It is hoped that this theoretical consequence can be verified experimentally in the measurements of LDOS and/or electronic (ω)×v 0 FIG.…”

“…In our previous study, we developed the TLL theory of multi-channel one-dimensional systems where the Fermi velocity is different from each other. 35 Here, the rigorous expression of the LDOS was derived for the bulk and end position. In the following, we apply the theory to the band structures I and II of the one-dimensional C 60 polymer obtained by the first principles calculation.…”

“…According to Ref. 35, the above Hamiltonian H = H k + H int is expressed by the phase variables Θ j and Φ j as…”

“…Nevertheless, no theoretical attempt has been succeeded to describe the C 60 polymer's exponent in a quantitative manner. To resolve the problem, it is dispensable to apply a multichannel-based TLL theory 35 incorporated with precise information of energetically stable atomic structure of the 1D C 60 polymers. 36 In the present work, we extend a conventional bosonization theory to be applicable to 1D systems endowed with multichannel electronic conduction bands.…”