Abstract
Among the various ill systems we have analyzed upto now, most were noninteracting, apart from the study in previous chapter where we looked at the effect of an correlated impurity in a spin-orbit coupled system. This chapter provides the framework to analyze generic interacting Hamiltonians with arbitrary interactions. It looks at the essential interplay of non-ordinary symmetries as introduced in Chap. 1 and the resulting constraints on the structure of many-body fermionic Hamiltonians. As we will see, the analysis in this chapter will provide us the recipe to construct many-body Hamiltonians in any of the ten symmetry classes.
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Notes
- 1.
For the clarity of the equations, we will not explicitly put the factors of \(\frac{1}{\sqrt{2}}\) in front of symmetric and antisymmetric states. It should be assumed that all the states are properly normalized.
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Agarwala, A. (2019). Structure of Many-Body Hamiltonians in Different Symmetry Classes. In: Excursions in Ill-Condensed Quantum Matter. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-21511-8_7
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