**Critical opalescence across the doping driven Mott transition in optical lattices of ultracold atoms.** / Walsh, Caitlin; Semon, P.; Sordi, Giovanni; Tremblay, A. -M. S.

Research output: Contribution to journal › Article

Published

**Critical opalescence across the doping driven Mott transition in optical lattices of ultracold atoms.** / Walsh, Caitlin; Semon, P.; Sordi, Giovanni; Tremblay, A. -M. S.

Research output: Contribution to journal › Article

Walsh, C, Semon, P, Sordi, G & Tremblay, A-MS 2019, 'Critical opalescence across the doping driven Mott transition in optical lattices of ultracold atoms' *Physical Review B*, vol. 99, no. 16, 165151, pp. 1-9. https://doi.org/10.1103/PhysRevB.99.165151

Walsh, C., Semon, P., Sordi, G., & Tremblay, A. -M. S. (2019). Critical opalescence across the doping driven Mott transition in optical lattices of ultracold atoms. *Physical Review B*, *99*(16), 1-9. [165151]. https://doi.org/10.1103/PhysRevB.99.165151

Walsh C, Semon P, Sordi G, Tremblay A-MS. Critical opalescence across the doping driven Mott transition in optical lattices of ultracold atoms. Physical Review B. 2019 Apr 30;99(16):1-9. 165151. https://doi.org/10.1103/PhysRevB.99.165151

@article{7cfa0e79e5774308ab5002790672b2ed,

title = "Critical opalescence across the doping driven Mott transition in optical lattices of ultracold atoms",

abstract = "Phase transitions and their associated crossovers are imprinted in the behavior of fluctuations. Motivated by recent experiments on ultracold atoms in optical lattices, we compute the thermodynamic density fluctuations $\delta N^2$ of the two-dimensional fermionic Hubbard model with plaquette cellular dynamical mean-field theory. To understand the length scale of these fluctuations, we separate the local from the nonlocal contributions to $\delta N^2$. We determine the effects of particle statistics, interaction strength $U$, temperature $T$ and density $n$. At high temperature, our theoretical framework reproduces the experimental observations in the doping-driven crossover regime between metal and Mott insulator. At low temperature, there is an increase of thermodynamic density fluctuations, analog to critical opalescence, accompanied by a surprising reduction of the absolute value of their nonlocal contributions. This is a precursory sign of an underlying phase transition between a pseudogap phase and a metallic phase in doped Mott insulators, which should play an important role in the cuprate high-temperature superconductors. Predictions for ultracold atom experiments are made.",

author = "Caitlin Walsh and P. Semon and Giovanni Sordi and Tremblay, {A. -M. S.}",

year = "2019",

month = "4",

day = "30",

doi = "10.1103/PhysRevB.99.165151",

language = "English",

volume = "99",

pages = "1--9",

journal = "Physical Review B",

issn = "1098-0121",

publisher = "American Physical Society",

number = "16",

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TY - JOUR

T1 - Critical opalescence across the doping driven Mott transition in optical lattices of ultracold atoms

AU - Walsh, Caitlin

AU - Semon, P.

AU - Sordi, Giovanni

AU - Tremblay, A. -M. S.

PY - 2019/4/30

Y1 - 2019/4/30

N2 - Phase transitions and their associated crossovers are imprinted in the behavior of fluctuations. Motivated by recent experiments on ultracold atoms in optical lattices, we compute the thermodynamic density fluctuations $\delta N^2$ of the two-dimensional fermionic Hubbard model with plaquette cellular dynamical mean-field theory. To understand the length scale of these fluctuations, we separate the local from the nonlocal contributions to $\delta N^2$. We determine the effects of particle statistics, interaction strength $U$, temperature $T$ and density $n$. At high temperature, our theoretical framework reproduces the experimental observations in the doping-driven crossover regime between metal and Mott insulator. At low temperature, there is an increase of thermodynamic density fluctuations, analog to critical opalescence, accompanied by a surprising reduction of the absolute value of their nonlocal contributions. This is a precursory sign of an underlying phase transition between a pseudogap phase and a metallic phase in doped Mott insulators, which should play an important role in the cuprate high-temperature superconductors. Predictions for ultracold atom experiments are made.

AB - Phase transitions and their associated crossovers are imprinted in the behavior of fluctuations. Motivated by recent experiments on ultracold atoms in optical lattices, we compute the thermodynamic density fluctuations $\delta N^2$ of the two-dimensional fermionic Hubbard model with plaquette cellular dynamical mean-field theory. To understand the length scale of these fluctuations, we separate the local from the nonlocal contributions to $\delta N^2$. We determine the effects of particle statistics, interaction strength $U$, temperature $T$ and density $n$. At high temperature, our theoretical framework reproduces the experimental observations in the doping-driven crossover regime between metal and Mott insulator. At low temperature, there is an increase of thermodynamic density fluctuations, analog to critical opalescence, accompanied by a surprising reduction of the absolute value of their nonlocal contributions. This is a precursory sign of an underlying phase transition between a pseudogap phase and a metallic phase in doped Mott insulators, which should play an important role in the cuprate high-temperature superconductors. Predictions for ultracold atom experiments are made.

UR - https://journals.aps.org/prb/abstract/10.1103/PhysRevB.99.165151

U2 - 10.1103/PhysRevB.99.165151

DO - 10.1103/PhysRevB.99.165151

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