@inproceedings {esperanzaSPP2019, title = {Critical scaling at the N{\'e}el transition in an extended Hubbard model with Ising-like interaction}, booktitle = {Proceedings of the 37th Samahang Pisika ng Pilipinas Physics Conference}, year = {2019}, month = {29 May 2019}, pages = {SPP-2019-1G-05}, address = {Tagbilaran City, Philippines}, abstract = {We examine the critical behavior of the von Neumann entanglement entropy and the staggered magnetization order parameter in an extended Hubbard chain across the N{\'e}el transition at half-filling. The order parameter and the entanglement entropy was calculated using density matrix renormalization group (DMRG) for periodic chains with length L = 32, 64, and 100. We demonstrate that the entanglement entropy can locate the quantum critical point. Finite size scaling analyses of the N{\'e}el order parameter and entanglement entropy give estimates for the critical exponents associated with these observables.}, url = {https://paperview.spp-online.org/proceedings/article/view/SPP-2019-1G-05}, author = {Robertson C. Esperanza and Francis N. C. Paraan} } @inproceedings {535, title = {Ground state entanglement in an extended Hubbard model with Ising-like interactions}, booktitle = {AQIS Conference 2019 Abstract Booklet - Poster Day 1}, year = {2019}, month = {19{\textendash}23 Aug 2019}, pages = {164}, address = {Korea Institute for Advanced Study, Seoul}, abstract = {We probe the half-block von Neumann entanglement entropy along with the ground state properties of a 1D extended Hubbard model as its intrasite and intersite interaction parameters are varied. The half-block entanglement entropy was calculated using the density matrix renormalization group (DMRG) for a periodic chain. We demonstrate that the half-block entanglement entropy provides a sketch of the changes in the ground state of the system and that it can be used to locate the quantum critical lines in the model.}, url = {http://aqis-conf.org/2019/program/}, author = {Robertson C. Esperanza and Francis N. C. Paraan} } @inproceedings {esperanza, title = {Correlations in an extended Hubbard model with Ising-like interaction}, booktitle = {Proceedings of the 35th Samahang Pisika ng Pilipinas Physics Conference}, year = {2017}, month = {7{\textendash}10 June 2017}, pages = {SPP-2017-PB-08}, address = {Cebu City, Philippines}, abstract = {Density-density and spin-spin correlations are calculated in an extended Hubbard model with an intersite Ising-like interaction. Local expectation values and correlation functions involving charge density and magnetization are obtained using the density matrix renormalization group (DMRG) for a periodic chain of L = 10 sites at half-filling. Antiferromagnetic phases with spin and charge density modulation are identified and located in a phase diagram.}, url = {http://paperview.spp-online.org/proceedings/article/view/56}, author = {Robertson C. Esperanza and Francis N. C. Paraan} } @inproceedings {335, title = {Entanglement and ground state level crossings in an extended Hubbard dimer}, booktitle = {Proceedings of the 34th Samahang Pisika ng Pilipinas Physics Congress}, year = {2016}, month = {18{\textendash}21 Aug 2016}, pages = {SPP-2016-PB-20}, address = {University of the Philippines Visayas, Iloilo City}, abstract = {The single-site entanglement entropy in the ground state of an extended Hubbard dimer is calculated in terms of intrasite and intersite interaction parameters. Entanglement vanishes in a ferromagnetic regime characterized by a degenerate spin-polarized ground state. In parameter ranges with non-zero entanglement, the ground state is a linear combination of states with spin and charge modulation.}, author = {Robertson C. Esperanza and Francis N. C. Paraan} }