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Quantum Renormalization Group of alternating Ising Model with Dzyaloshinski - Moriya Interaction: Phase Diagram and Quantum Information Properties

Amiri, Neda | 2011

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 42725 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Langari, Abdollah
  7. Abstract:
  8. In this thesis, we have implemented the quantum renormalization group method to study quantum spin systems. We reviewed the recent progress to calculate the quantum information properties of these models. The recent investigations show that concurrence and entanglement are two quantities which can show quantum critical properties of the quantum systems. More specifically, the derivative of entanglement and the second derivative of ground state energy show divergent behavior at the quantum critical point. Moreover, the ground state fidelity for two different parameters close to quantum critical point shows a drop which leads to a divergent behavior in its corresponding susceptibility. We have studied the quantum phase diagram of the bond-alternating Ising chain in the presence of Dzyaloshinski - Moriya interaction. Contrary to the previous results the universality class of the model does not depend on the bond alternation parameter as far as Dzyaloshinski-Moriya term is present. We have calculated the fidelity and its susceptibility for the bond-alternating Ising chain in the presence of Dzyaloshinski-Moriya interaction and studied its finite size scaling behavior. We have also examined the fidelity of the anisotropic Heisenberg model in the presence of Dzyaloshinski-Moriya interaction by using quantum renormalization group approach
  9. Keywords:
  10. Entanglement ; Fidelity ; Renormalization Group ; Ising model ; Quantum Renormalization Group ; Dzyaloshinski-Moriya Interaction ; Fidelity Susceptibility

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