Revealing three-dimensional quantum criticality by Sr-substitution in Han Purple

no code implementations • 11 Mar 2021 • Stephan Allenspach, Pascal Puphal, Joosep Link, Ivo Heinmaa, Ekaterina Pomjakushina, Cornelius Krellner, Jakob Lass, Gregory S. Tucker, Christof Niedermayer, Shusaku Imajo, Yoshimitsu Kohama, Koichi Kindo, Steffen Krämer, Mladen Horvatić, Marcelo Jaime, Alexander Madsen, Antonietta Mira, Nicolas Laflorencie, Frédéric Mila, Bruce Normand, Christian Rüegg, Raivo Stern, Franziska Weickert

Classical and quantum phase transitions (QPTs), with their accompanying concepts of criticality and universality, are a cornerstone of statistical thermodynamics.

Strongly Correlated Electrons

Lifshitz point at commensurate melting of 1D Rydberg atoms

no code implementations • 4 Jan 2021 • Natalia Chepiga, Frédéric Mila

Furthermore, we show numerically that this scenario is realized in an effective model of the period-3 phase of Rydberg chains in which hard-core bosons are created and annihilated three by three: The Luttinger liquid parameter reaches the critical value $p^2/8=9/8$ along the Pokrovsky-Talapov transition, leading to a Lifshitz point that separates the floating phase from a chiral transition.

Strongly Correlated Electrons Quantum Physics

Solving frustrated Ising models using tensor networks

no code implementations • 25 Jun 2020 • Bram Vanhecke, Jeanne Colbois, Laurens Vanderstraeten, Frank Verstraete, Frédéric Mila

Motivated by the recent success of tensor networks to calculate the residual entropy of spin ice and kagome Ising models, we develop a general framework to study frustrated Ising models in terms of infinite tensor networks %, i. e. tensor networks that can be contracted using standard algorithms for infinite systems.

Tensor Networks Statistical Mechanics Quantum Physics