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Strong Disorder RG Flow and the Random Singlet Phase of a 1D Random AF Heisenberg Spin-1/2 Chain.

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aethrvmn/1d-RandAFHeisenberg-SDRG

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Ongoing Thesis Project

The goal of this code is to model the RG transformation for the 1d Random Antiferromagnetic Heisenberg Quantum Spin Chain.

WIP

Numerical Dasgupta-Ma RG

Introduction to the Model

In order to better grasp the ideas presented in the previous chapter, and also to appreciate the complexity of the Strong Disorder RG, we created a numerical model to simulate the process using Python.
If we wanted to simulate the nearest-neighbour spin chain we would need two rows, one for each left spin and one for each right spin. $$\begin{aligned} \text{left spin} :=\ &[1\ 2\ 3\ 4\ \dots\ N-1]\\ \text{right spin} :=\ &[2\ 3\ 4\ 5\ \dots\ N] \end{aligned}$$ where the bonds would then form a matrix

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Strong Disorder RG Flow and the Random Singlet Phase of a 1D Random AF Heisenberg Spin-1/2 Chain.

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