# The 34th International Symposium on Lattice Field Theory (Lattice 2016)

24-30 July 2016
Highfield Campus, University of Southampton
Europe/London timezone

## Fermions with long-range interactions using a matrix-product-states approach

26 Jul 2016, 20:00
1h
Highfield Campus, University of Southampton

#### Highfield Campus, University of Southampton

Highfield Campus, Southampton SO17 1BJ, UK
Poster Applications Beyond QCD

### Speaker

Mr Marcin Szyniszewski (Lancaster University)

### Description

The long-range t-V model of fermions on a lattice is known to exhibit a transition between a Luttinger liquid phase and a Mott insulator phase [1]. At insulating densities, one can tailor the potential energy of the model in such a way that one forces a quantum phase transition to either another insulating charge-density-wave phase, a bond-order phase or a Luttinger liquid [2]. We show how to construct a matrix product operator representation of the Hamiltonian of the t-V model and we present phase diagrams calculated using the matrix-product-states approach [3]. We compare these phase diagrams with results obtained in the atomic limit. References ---------- 1. G. Gómez-Santos, Phys. Rev. Lett. 70, 3780 (1993). 2. P. Schmitteckert and R. Werner, Phys. Rev. B 69, 195115 (2004); T. Mishra et al., Phys. Rev. B 84, 115135 (2011). 3. D. Perez-Garcia et al., Quantum Inf. Comput. 7, 401 (2007); F. Verstraete et al., Adv. Phys. 57, 143 (2008).

### Primary author

Mr Marcin Szyniszewski (Lancaster University)

 Poster