# Density of states anomalies in multichannel quantum wires

@article{Yoshioka2011DensityOS, title={Density of states anomalies in multichannel quantum wires}, author={Hideo Yoshioka and Hiroyuki Shima}, journal={Physical Review B}, year={2011}, volume={84}, pages={075443} }

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… Expand

#### Figures from this paper

#### One Citation

Response functions in multicomponent Luttinger liquids

- Mathematics, Physics
- 2012

We derive an analytic expression for the zero temperature Fourier transform of the density-density correlation function of a multicomponent Luttinger liquid with different velocities. By employing… Expand

#### References

SHOWING 1-10 OF 41 REFERENCES

Luttinger liquid theory of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas

- Physics
- 1981

The explicitly soluble Luttinger model is used as a basis for the description of the general interacting Fermi gas in one dimension, which will be called 'Luttinger liquid theory', by analogy with… Expand

Luttinger-liquid behavior in weakly disordered quantum wires.

- Physics, Medicine
- Physical review letters
- 2006

The temperature dependence of the conductance in long V-groove quantum wires fabricated in GaAs/AlGaAs heterostructures is measured and it is shown that, for the relatively low level of disorder, the value of the interaction parameter g congruent with 0.66 is the expected value for GaAs. Expand

One-dimensional Fermi liquids

- Physics
- 1995

We review the progress in the theory of one-dimensional (ID) Fermi liquids which has occurred over the past decade. The usual Fermi liquid theory, based on a quasi-particle picture, breaks down in… Expand

Instability of the one-dimensional extended Hubbard model in a magnetic field

- Physics
- 2003

We consider instabilities of two-component Tomonaga–Luttinger (TL) liquids for the one-dimensional extended Hubbard model in a magnetic field. When the density of electrons with spin σ is 1/2,… Expand

Interference and zero-bias anomaly in tunneling between Luttinger-liquid wires

- Physics
- 2003

We present theoretical calculations and experimental measurements which reveal the Luttinger-liquid (LL) nature of elementary excitations in a system consisting of two quantum wires connected by a… Expand

Properties of a Luttinger liquid with boundaries at finite temperature and size

- Physics
- 1997

We use bosonization methods to calculate the exact finite-temperature single-electron Green's function of a spinful Luttinger liquid confined by open boundaries. The corresponding local spectral… Expand

Boundary effects on spectral properties of interacting electrons in one dimension.

- Physics, Medicine
- Physical review letters
- 1996

The single electron Green’s function of the one-dimensional Tomonaga-Luttinger model in the presence of open boundaries is calculated with bosonization methods. We show that the critical exponents of… Expand

Manipulating the Tomonaga-Luttinger exponent by electric field modulation

- Physics
- 2010

Abstract.
We establish a theoretical framework for artificial control of
the power-law singularities in Tomonaga-Luttinger liquid states.
The exponent governing the power-law behaviors is found to… Expand

Direct observation of Tomonaga–Luttinger-liquid state in carbon nanotubes at low temperatures

- Chemistry, Medicine
- Nature
- 2003

The electronic transport properties of conventional three-dimensional metals are successfully described by Fermi-liquid theory. But when the dimensionality of such a system is reduced to one, the… Expand

Recursive method for the density of states in one dimension.

- Physics, Medicine
- Physical review letters
- 2010

The crossover of the local DOS from individual density waves to the well-known asymptotic power laws is studied and characteristic signs of spin charge separation in possible STM experiments are identified. Expand