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0 votes
1 answer
53 views

How to handle Dzyaloshinkii-Moriya imaginary terms in Heisenberg chain?

The DM interaction has three coordinate-specific terms when splitting it up. Two of these, the DM-x and DM-z terms, are imaginary when we transform them into series of raising and lowering operators. ...
Ravi's user avatar
  • 11
1 vote
1 answer
280 views

Spin hamiltonian matrix representation

To preface, I'm an applied mathematician trying to parse the meaning of physics notation I've come across in a paper. My goal is to understand the setting in terms of matrices and vectors so that I ...
overfull hbox's user avatar
2 votes
1 answer
153 views

Spin Glass Hamiltonian

Why do Edwards and Anderson use the hamiltonian $$ H = \sum_{i,j} J_{ij} \mathbf{s}_i \cdot \mathbf{s}_j $$ to describe the interactions in a spin glass? Naively I would think that from the ...
creillyucla's user avatar
2 votes
0 answers
83 views

Spin Transition Energies

I am reading a paper: http://arxiv.org/ftp/arxiv/papers/1305/1305.2445.pdf On p. 22, the following Hamiltonian is given: $$ H = \mu_B g \mathbf{B} \cdot \mathbf{S} + D(S_Z^2+\frac{1}{3}S(S+1)) + E(...
Bob Riley's user avatar