PIRSA:08040036 Conference

DOI10.48660/08040036

Conference/School: Southwestern Ontario 4-Corner Condensed Matter Symposium - 2008

Melko, R. (2008). Computing Unconventional Quantum Phase Transitions. Perimeter Institute. https://pirsa.org/08040036

Melko, Roger. Computing Unconventional Quantum Phase Transitions. Perimeter Institute, Apr. 24, 2008, https://pirsa.org/08040036 

@misc{ pirsa_PIRSA:08040036,
  doi = {10.48660/08040036},
  url = {https://pirsa.org/08040036},
  author = {Melko, Roger},
  keywords = {},
  language = {en},
  title = {Computing Unconventional Quantum Phase Transitions},
  publisher = {Perimeter Institute},
  year = {2008},
  month = {apr},
  note = {PIRSA:08040036 see, \url{https://pirsa.org}}
}

Abstract

Calculating universal properties of quantum phase transitions in microscopic Hamiltonians is a challenging task, made possible through large-scale numerical simulations coupled with finite-size scaling analyses. The continuing advancement of quantum Monte Carlo technologies, together with modern high-performance computing infrastructure, has made amenable a new class of quantum Heisenberg Hamiltonian with four-spin exchange, which may harbor a continuous Néel-to-Valence Bond Solid quantum phase transition. Such an exotic quantum critical point would necessarily lie outside of the standard Landau-Ginzburg-Wilson paradigm, and may contain novel physical phenomena such as emergent topological order and quantum number fractionalization. I will discuss efforts to calculate universal critical exponents using large-scale quantum Monte Carlo simulations, and compare them to theoretical predictions, in particular from the recent theory of deconfined quantum criticality.

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