New Criticality of 1D Fermions

Details New Criticality of 1D Fermions New Criticality of 1D Fermions

1994-07-08

arxiv.org/abs/cond-mat/9407045v1

Physics

Condensed Matter

10 pages (latex), with 2 figures (not included)

Scientific paper

One-dimensional massive quantum particles (or 1+1-dimensional random walks) with short-ranged multi-particle interactions are studied by exact renormalization group methods. With repulsive pair forces, such particles are known to scale as free fermions. With finite $m$-body forces (m = 3,4,...), a critical instability is found, indicating the transition to a fermionic bound state. These unbinding transitions represent new universality classes of interacting fermions relevant to polymer and membrane systems. Implications for massless fermions, e.g. in the Hubbard model, are also noted. (to appear in Phys. Rev. Lett.)

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