Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-11-27
Nucl.Phys. B556 (1999) 463-483
Physics
Condensed Matter
Statistical Mechanics
Final version, to be published in Nucl. Phys. B [FS] (26 pages, 5 figures). Analysis extended to an arbitrary number N of fiel
Scientific paper
10.1016/S0550-3213(99)00340-5
We investigate the behavior of the zero-temperature quantum non-linear sigma model in d dimensions in the presence of a damping term of the form f(w)~ |w|^alpha, with 1 \le alpha <2. We find two fixed points: a spin-wave fixed point FP1 showing a dynamic scaling exponent z=1 and a dissipative fixed point FP2 with z>1. In the framework of the \epsilon-expansion it is seen that there is a range of values alpha_*(d) \le alpha \le 2 where the point FP1 is stable with respect to FP2, so that the system realizes a z=1 quantum critical behavior even in the presence of a dissipative term. However, reasonable arguments suggest that in d=2 this range is very narrow. In the broken symmetry phase we discuss a phenomenological scaling approach, treating damping as a perturbation of the ordered ground state. The relation of these results with the pseudogap effect observed in underdoped layered cuprates is discussed.
Castellani Claudio
Gamba Andrea
Grilli Marco
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