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Quantum criticality with two length scales.

Hui Shao1, Wenan Guo2, Anders W Sandvik3

  • 1Department of Physics, Beijing Normal University, Beijing 100875, China. Beijing Computational Science Research Center, Beijing 100084, China. Department of Physics, Boston University, Boston, MA 02215, USA.

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Deconfined quantum critical (DQC) points theory is revised with a new scaling form, resolving simulation enigmas. This proves continuous phase transitions with deconfined excitations in quantum magnets.

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Area of Science:

  • Condensed matter physics
  • Quantum criticality
  • Phase transitions

Background:

  • Deconfined quantum critical (DQC) points theory describes unusual phase transitions at absolute zero temperature.
  • Conventional theories predict discontinuities, but DQC points suggest continuous transformations.
  • Computer simulations have failed to confirm DQC theory, showing unexpected scaling deviations.

Purpose of the Study:

  • To resolve the enigma of simulation deviations from DQC theory.
  • To propose and verify a new critical scaling form that explains observed phenomena.
  • To demonstrate continuous transitions with deconfined excitations.

Main Methods:

  • Developed a critical scaling form incorporating two divergent length scales.
  • Performed computer simulations on a quantum magnet model.
  • Analyzed simulations of antiferromagnetic and dimerized ground states.

Main Results:

  • The proposed scaling form successfully explains simulation data.
  • Confirmed a continuous phase transition with deconfined excitations.
  • Resolved anomalous scaling behavior observed at both T=0 and T>0.

Conclusions:

  • The new scaling form resolves discrepancies in DQC point simulations.
  • Findings support continuous transitions with deconfined excitations.
  • Revises paradigms of quantum criticality and impacts strongly correlated materials research.