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Stable algebraic spin liquid in a Hubbard model.

S R Hassan1, P V Sriluckshmy, Sandeep K Goyal

  • 1The Institute of Mathematical Sciences, CIT Campus, Chennai, India.

Physical Review Letters
|February 5, 2013
PubMed
Summary
This summary is machine-generated.

We discovered a stable algebraic spin liquid (ASL) phase in a novel Hubbard model. This phase, protected by time-reversal symmetry, is realizable in cold atom experiments.

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Area of Science:

  • Condensed matter physics
  • Quantum magnetism
  • Many-body systems

Background:

  • Algebraic spin liquid (ASL) phases are exotic states of matter with potential applications in quantum computing.
  • Understanding the conditions for realizing and stabilizing ASL phases is a key challenge in condensed matter physics.

Purpose of the Study:

  • To investigate the existence and stability of an algebraic spin liquid (ASL) phase in a Hubbard model on a honeycomb lattice.
  • To identify potential experimental realizations and observable signatures of this ASL phase.

Main Methods:

  • Utilizing a Hubbard model with spin-dependent hopping on a honeycomb lattice.
  • Analyzing the model under conditions of large on-site repulsion to derive an effective spin model.
  • Proving the time-reversal invariance of the effective spin model within the Mott phase.

Main Results:

  • Demonstrated the existence of a stable algebraic spin liquid (ASL) phase.
  • Identified the effective spin model as the Kitaev model, with gapless Majorana fermions protected by time-reversal invariance.
  • Established the time-reversal invariance of the effective spin model throughout the Mott phase, ensuring ASL stability.

Conclusions:

  • The proposed Hubbard model provides a viable route to realizing a stable algebraic spin liquid (ASL).
  • The findings suggest that cold atom systems are suitable platforms for experimentally observing this ASL phase.
  • Proposed specific experimental signals to detect the ASL state, facilitating future research.