@inproceedings{bibcite_910, author = {Winonna Kylie C. Chua and Noel M. Lamsen}, title = {Density matrix renormalization group and exact diagonalization analysis of the one-dimensional quantum q-state clock model}, abstract = {This study investigates the one-dimensional quantum q-state clock model using exact diagonalization (ED) and the density matrix renormalization group (DMRG). At zero temperature, this model maps onto the two-dimensional classical vector Potts model via the transfer matrix formalism. ED was used to solve the ground state energy density and energy gap per site for q = 5 and q = 6 at small system sizes. DMRG was implemented to examine the same observables for larger system sizes. The results show general agreement between ED and DMRG, with minor deviations for q = 6. These findings provide insights into the low-energy properties of the 1D quantum q-state clock model and its relation to topological phase transitions.}, year = {2025}, booktitle = {Proceedings of the 43rd Samahang Pisika ng Pilipinas Physics Conference}, pages = {SPP-2025-PA-18}, month = {25{\textendash}28 Jun 2025}, address = {Quezon City}, url = {https://proceedings.spp-online.org/article/view/SPP-2025-PA-18}, }