Large N Renormalization Group for Random Matrix Models

The Large N Random Phase sine - Gordon Model

At large distances and in the low temperature phase, the quenched correlation functions in the 2d random phase sine-Gordon model have been argued to be of the form : [ϕ(x) − ϕ(0)] 2 * = A(log |x|) + Bǫ 2 (log |x|) 2 , with ǫ = (T − T c). However, renormalization group computations predict B = 0 while variational approaches (which are supposed to be exact for models with a large number of compon...

Time-Dependent Real-Space Renormalization Group Method

In this paper, using the tight-binding model, we extend the real-space renormalization group method to time-dependent Hamiltonians. We drive the time-dependent recursion relations for the renormalized tight-binding Hamiltonian by decimating selective sites of lattice iteratively. The formalism is then used for the calculation of the local density of electronic states for a one dimensional quant...

Griffiths-McCoy singularities in random quantum spin chains: exact results through renormalization.

The Ma-Dasgupta-Hu renormalization group (RG) scheme is used to study singular quantities in the Griffiths phase of random quantum spin chains. For the random transverse-field Ising spin chain we have extended Fisher's analytical solution to the off-critical region and calculated the dynamical exponent exactly. Concerning other random chains we argue by scaling considerations that the RG method...

Two-loop Functional Renormalization Group of the Random Field and Random Anisotropy O(N) Models

F eb 1 99 6 Density Matrix Renormalization Group Method for the Random Quantum One - Dimensional Systems - Application to the Random Spin - 1 / 2 Antiferromagnetic Heisenberg Chain - Kazuo

The density matrix renormalization group method is generalized to one dimensional random systems. Using this method, the energy gap distribution of the spin-1/2 random antiferromagnetic Heisenberg chain is calculated. The results are consistent with the predictions of the renormalization group theory demonstrating the effectiveness of the present method in random systems. The possible applicati...