Instability of the Random Fixed Point of Renormalization Group for the Spin Systems with Quenched Disorder
WU Xin-tian1, GONG Chang-de
1Department of Physics and National Laboratory of Solid State Microstructure, Nanjing University, Nanjing 210093
Chinese Center of Advanced Science and Technology (World Laboratory), P.O.Box 8370, Beijing 100080, and Department of Physics, Nanjing University, Nanjing 210093
Instability of the Random Fixed Point of Renormalization Group for the Spin Systems with Quenched Disorder
WU Xin-tian1;GONG Chang-de
1Department of Physics and National Laboratory of Solid State Microstructure, Nanjing University, Nanjing 210093
Chinese Center of Advanced Science and Technology (World Laboratory), P.O.Box 8370, Beijing 100080, and Department of Physics, Nanjing University, Nanjing 210093
Abstract： The replica trick used in the renormalization group (RG) for the disordered spin systems is discussed. The recursion relations of RG are derived in a more general situation in which the coupling constants can have arbitrary symmetry to the replica indices. It is shown that the random fixed point found by Luther, Grinstein and Lubensky is unstable. This instability implies that the replica symmetry should be broken in the RG for the disordered systems.
WU Xin-tian;GONG Chang-de. Instability of the Random Fixed Point of Renormalization Group for the Spin Systems with Quenched Disorder[J]. 中国物理快报, 1997, 14(3): 165-168.
WU Xin-tian, GONG Chang-de. Instability of the Random Fixed Point of Renormalization Group for the Spin Systems with Quenched Disorder. Chin. Phys. Lett., 1997, 14(3): 165-168.
1997, Vol. 14 
