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Quantum Ising model on the frustrated square lattice.

N Kellermann1, M Schmidt1, F M Zimmer2

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Summary
This summary is machine-generated.

This study explores quantum fluctuations in Ising antiferromagnets, revealing how frustration impacts phase transitions and entropy. Frustration enhances entropy near quantum critical points, aiding experimental identification of material properties.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Magnetism
  • Statistical Mechanics

Background:

  • The Ising square antiferromagnet model is crucial for understanding magnetic materials.
  • Investigating the interplay of first (J1) and second (J2) neighbor interactions reveals complex magnetic behaviors.
  • Quantum and thermal fluctuations significantly influence magnetic phase transitions.

Purpose of the Study:

  • To analyze the effect of a transverse field on the J1-J2 Ising square antiferromagnet.
  • To characterize frustration effects on phase boundaries and entropy accumulation.
  • To understand the role of quantum fluctuations in phase transitions.

Main Methods:

  • Utilizing a cluster mean-field approach.
  • Analyzing phase transitions between paramagnetic, antiferromagnetic, and superantiferromagnetic phases.
  • Examining entropy accumulation near quantum critical points.

Main Results:

  • Paramagnetic and antiferromagnetic phases are separated by continuous transitions.
  • Phase boundaries between paramagnetic and superantiferromagnetic phases exhibit continuous, discontinuous transitions, and tricriticality.
  • Frustration enhances entropy accumulation near quantum critical points.

Conclusions:

  • The J1-J2 Ising antiferromagnet displays rich phase behavior influenced by quantum and thermal fluctuations.
  • Frustration plays a key role in modifying phase transitions and entropy.
  • The findings assist in identifying the J2/J1 ratio in experimental settings.