Department
Physics
Major
Physics
Research Advisor
Vojta, Thomas
Advisor's Department
Physics
Funding Source
National Science Foundation
Abstract
The Higgs (amplitude) mode at the disordered superfluid-Mott glass quantum phase transition was recently shown to feature unusual localization properties that violate naive scaling [1,2,3]. To test whether analogous behavior also occurs in the classical case, we analyze the Higgs mode in a diluted 3D classical XY-model near the magnetic phase transition. We calculate the amplitude correlation function and the corresponding scalar susceptibility by means of Monte Carlo simulations. In contrast to the quantum case, we find that the scalar susceptibility fulfills naive scaling (employing the clean critical exponents, as expected from the Harris criterion) as the temperature is varied across the phase transition for several dilutions.
[1] M. Puschmann, J. Crewse, J. A. Hoyos, and T. Vojta, Phys. Rev. Lett. 125, 027002 (2020).
[2] J. Crewse and T. Vojta, Phys. Rev. B 104, 014511 (2021).
[3] M. Puschmann, J.C. Getelina, J.A. Hoyos, and T. Vojta, Ann. Phys. in press , arXiv:2101.11065
Biography
Reece is currently a junior majoring in physics, with the hopes of pursuing a PhD after graduation. He began doing research with Dr. Thomas Vojta during the Summer of 2020. Thankfully, the computational nature of their work allowed them to conduct research relatively unimpeded even during the height of the quarantine. He has a passion for both physics and computer science, so he's very happy to work in a field which combines the two.
Research Category
Sciences
Presentation Type
Oral Presentation
Document Type
Presentation
Award
Sciences – section 1 oral presentation, Second place
Location
Meramec Room
Presentation Date
14 Apr 2022, 1:30 pm - 2:00 pm
Scalar Susceptibility of a Diluted Classical XY Model
Meramec Room
The Higgs (amplitude) mode at the disordered superfluid-Mott glass quantum phase transition was recently shown to feature unusual localization properties that violate naive scaling [1,2,3]. To test whether analogous behavior also occurs in the classical case, we analyze the Higgs mode in a diluted 3D classical XY-model near the magnetic phase transition. We calculate the amplitude correlation function and the corresponding scalar susceptibility by means of Monte Carlo simulations. In contrast to the quantum case, we find that the scalar susceptibility fulfills naive scaling (employing the clean critical exponents, as expected from the Harris criterion) as the temperature is varied across the phase transition for several dilutions.
[1] M. Puschmann, J. Crewse, J. A. Hoyos, and T. Vojta, Phys. Rev. Lett. 125, 027002 (2020).
[2] J. Crewse and T. Vojta, Phys. Rev. B 104, 014511 (2021).
[3] M. Puschmann, J.C. Getelina, J.A. Hoyos, and T. Vojta, Ann. Phys. in press , arXiv:2101.11065
