Fermions with long-range interaction

Journal Article · Fri Sep 15 04:00:00 EDT 1995 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.52.7939· OSTI ID:115881

Schmeltzer, D ^[1]

---

1. Department of Physics, City College of the City University of New York, New York, New York 10031 (United States)

A renormalization-group analysis combined with bosonization is performed for fermions interacting with repulsive long-range interaction of the form {ital V}({ital R}){congruent}1/{ital R}{sup (1{minus}@g}{cflx e}{sup )}, 0{lt}{cflx @}ge{le}1; we find that in any dimension the system is a non-Fermi liquid with a quasiparticle weight which vanishes like {ital w}{sup @g}{cflx e}{sup /4} when {ital w}{r_arrow}0. For {cflx @}ge{r_arrow}0 a marginal Fermi liquid is obtained. A nonperturbative solution is obtained using the bosonization method in {ital d}{ge}1 dimensions. Within the same formalism we investigate also the electron-phonon interaction in dimensions {ital d}=3{minus}{epsilon}. When the coupling constant is imaginary, one obtains a time-dependent potential similar to what is obtained for fermions coupled to transversed U(1) gauge bosons. A non-Fermi-liquid behavior is found for {ital d}{le}3.

• OSTI ID: 115881
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 11 Vol. 52; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOSON EXPANSION
ELECTRON-PHONON COUPLING
FERMI GAS
GAUGE INVARIANCE
INTERACTIONS
ONE-DIMENSIONAL CALCULATIONS
RENORMALIZATION
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS