Semi-infinite Ising chain with boundary
Posted: 04 Mar 2020, 21:09
I am interested in studying the semi-infinite Ising chain with an edge using dmrg. In particular I want to study the Hamiltonian
\(H=-J\sum_{\langle i,j \rangle} \sigma_i \sigma_j - \sum_j h_j \sigma_j,\)
where the external field \(h_j\) is there to impose an edge on the system. Obviously, this brakes translation invariance and hence iDMRG cannot be employed. However, it may (?) be possible to smoothly attach a semi-infinite chain with \(h_j = 0\), and from there turn on the external field.
The following figure might help visualize the situation.
Is there a way to do this?
The following thread might tangentially related.
viewtopic.php?t=45
\(H=-J\sum_{\langle i,j \rangle} \sigma_i \sigma_j - \sum_j h_j \sigma_j,\)
where the external field \(h_j\) is there to impose an edge on the system. Obviously, this brakes translation invariance and hence iDMRG cannot be employed. However, it may (?) be possible to smoothly attach a semi-infinite chain with \(h_j = 0\), and from there turn on the external field.
The following figure might help visualize the situation.
Is there a way to do this?
The following thread might tangentially related.
viewtopic.php?t=45