Lorentz covariance and the crossover of two-dimensional antiferromagnets

作者: P. R. Crompton

DOI: 10.1103/PHYSREVB.75.174520

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摘要: We derive a lattice $\beta$-function for the 2d-Antiferromagnetic Heisenberg model, which allows interaction couplings of nonperturbative Quantum Monte Carlo vacuum to be related directly zero-temperature fixed points nonlinear sigma model in presence strong interplanar and spin anisotropies. In addition usual renormalization gapful disordered state vicinity quantum critical point, we show that this leads chiral doubling spectra excited states.

参考文章(31)
Sudip Chakravarty, Bertrand I. Halperin, David R. Nelson, Two-dimensional quantum Heisenberg antiferromagnet at low temperatures. Physical Review B. ,vol. 39, pp. 2344- 2371 ,(1989) , 10.1103/PHYSREVB.39.2344
Jae-Kwon Kim, Matthias Troyer, Low Temperature Behavior and Crossovers of the Square Lattice Quantum Heisenberg Antiferromagnet Physical Review Letters. ,vol. 80, pp. 2705- 2708 ,(1998) , 10.1103/PHYSREVLETT.80.2705
D. Controzzi, G. Mussardo, Mass spectrum of the two-dimensional O(3) sigma model with a theta term. Physical Review Letters. ,vol. 92, pp. 021601- 021601 ,(2004) , 10.1103/PHYSREVLETT.92.021601
T. Senthil, Leon Balents, Subir Sachdev, Ashvin Vishwanath, Matthew P. A. Fisher, Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm Physical Review B. ,vol. 70, pp. 144407- ,(2004) , 10.1103/PHYSREVB.70.144407
R.C. Brower, S. Chandrasekharan, U.-J. Wiese, B.B. Beard, A. Tsapalis, D. Chen, D-theory: field theory via dimensional reduction of discrete variables Nuclear Physics B - Proceedings Supplements. ,vol. 63, pp. 775- 789 ,(1998) , 10.1016/S0920-5632(97)00900-6
V.A. Fateev, E. Onofri, Al.B. Zamolodchikov, Integrable deformations of the O(3) sigma model. The sausage model Nuclear Physics. ,vol. 406, pp. 521- 565 ,(1993) , 10.1016/0550-3213(93)90001-6
Sudip Chakravarty, Dimensional Crossover in Quantum Antiferromagnets. Physical Review Letters. ,vol. 77, pp. 4446- 4449 ,(1996) , 10.1103/PHYSREVLETT.77.4446
I. Dzyaloshinskii, A. Polyakov, P. Wiegmann, Neutral fermions in paramagnetic insulators Physics Letters A. ,vol. 127, pp. 112- 114 ,(1988) , 10.1016/0375-9601(88)90395-7