Publications by Samuel Louis Nyckees

Weakly first-order melting of the 1/3 plateau in the Shastry-Sutherland model

We investigate the thermal properties of the 13 plateau in the Shastry-Sutherland model with infinite projected entangled-pair states by performing the imaginary-time evolution of the infinite-temperature density matrix. We show that both the Z2 and Z3 bro ...

2025

Thermal melting in 2D classical and quantum systems: a tensor network study

Samuel Louis Nyckees

We investigate and characterise phase transitions driven by thermal fluctuations out of ordered phases into disordered ones on a series of two-dimensional models. We rely on tensor networks algorithms that approximate directly the partition function in the ...

EPFL2024

Critical line of the triangular Ising antiferromagnet in a field from a C3-symmetric corner transfer matrix algorithm

Frédéric Mila, Samuel Louis Nyckees, Afonso Dos Santos Rufino, Jeanne Colbois

The corner transfer matrix renormalization group (CTMRG) algorithm has been extensively used to investigate both classical and quantum two-dimensional (2D) lattice models. The convergence of the algorithm can strongly vary from model to model depending on ...

Amer Physical Soc2023

Tensor network investigation of the hard-square model

Frédéric Mila, Samuel Louis Nyckees

Using the corner-transfer matrix renormalization group to contract the tensor network that describes its partition function, we investigate the nature of the phase transitions of the hard-square model, one of the exactly solved models of statistical physic ...

AMER PHYSICAL SOC2022

Commensurate-incommensurate transition in the chiral Ashkin-Teller model

Frédéric Mila, Samuel Louis Nyckees

We investigate the classical chiral Ashkin-Teller model on a square lattice with the corner transfer matrix renormalization group algorithm. We show that the melting of the period-4 phase in the presence of a chiral perturbation takes different forms depen ...

2022

Identifying the Huse-Fisher universality class of the three-state chiral Potts model

Frédéric Mila, Samuel Louis Nyckees, Jeanne Colbois

Using the corner-transfer matrix renormalization group approach, we revisit the three-state chiral Potts model on the square lattice, a model proposed in the eighties to describe commensurate-incommensurate transitions at surfaces, and with direct relevanc ...

ELSEVIER2021