Can the 1D Random XX Spin Chain Model Be Solved Exactly?

[mimpim]

Hi,
Consider model of one dimensional spin chain with a random couplings J. The Hamiltonian is the following:

$$ H = \sum_i J_i (S_i^x S_{i+1}^x+ S_i^y S_{i+1}^y)$$,
Which by Jordan-Wigner transformation we can transform it to the fermionic representations.

$$ H = \sum_i J_j/2 (c_i c_{i+1}^{\dagger}+h.c)$$.

My question is can we solve this model exactly? (I know when the couplings J are constant we can solve this model exactly and have analytic solution. But how about when we have a random couplings)
I appreciate any help and comment.

 

[BigJDubs]

Unfortunately, there is no exact solution to the model with random couplings J. However, there are several methods that can be used to approximate the solution, such as numerical simulations or perturbation theory.