# Julio Cesar Pérez Pedraza

**Director de tesis:** Dr. Alfredo Raya Montaño (IFM-UMSNH)
**Co-director de tesis:** Dr. Eduardo Barrios Vargas (UNAM)

## Proyecto de tesis doctoral: Tight-binding (minimal-lattice) adaptation of hamiltonians in the continuum: theory and experimental setups

**Introduction and motivation**

**Objectives**

**Specific:**
* Be able to adapt any (the many) hamiltonian in the continuum to a TB model by means of the *minimal lattice* scheme in order to find electronic and topological properties of the system, and to find an analog setup with topoelectrical circuits to be compared with.

**General:**
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**Tools and material to be used:**
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**Bibliography:**

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**Work schedule:**
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**Cases to be considered initally (PhD thesis):**
* SSH model in one and two dimensions with a superlattice of potential wells (impurities):
- Electronic structure (DOS, bands, transport, etc.)
- Topological properties (Zack, W.N., etc.)
- Experimental setup

- Monolayer graphene with normal and Haldane mass terms:
- Electronic structure (DOS, bands, transport, etc.)
- Topological properties (Polarization, Chern, etc.)
- Experimental setup

**Cases to be considered then:**
- Monolayer graphene with a superalattice of potential wells (impurities) (without/with normal and Haldane mass terms).
- Strained graphene (without/with normal and Haldane mass terms).
- Bilayer graphene (without/with normal and Haldane mass terms).
- Rotated bilayer graphene (without/with normal and Haldane mass terms).
- Another 2D materials (silicene, borophene, etc.)
- Etc.
- Weyl semimetals
- Electronic structure (DOS, bands, transport, etc.)
- Topological properties (Pol., Chern, etc.)
- Experimental setup

**Tools**
- For the TB approach: The *pythtb* module.
- For transport: ¿?
- For the experimental setups: Python simulation