Matrix-Product-State Algorithm for Finite Fractional Quantum Hall Systems

  title={Matrix-Product-State Algorithm for Finite Fractional Quantum Hall Systems},
  author={Zhao Liu and Ravindra N. Bhatt},
  journal={arXiv: Strongly Correlated Electrons},
  • Zhao Liu, R. Bhatt
  • Published 29 November 2014
  • Physics
  • arXiv: Strongly Correlated Electrons
Exact diagonalization is a powerful tool to study fractional quantum Hall (FQH) systems. However, its capability is limited by the exponentially increasing computational cost. In order to overcome this difficulty, density-matrix-renormalization-group (DMRG) algorithms were developed for much larger system sizes. Very recently, it was realized that some model FQH states have exact matrix-product-state (MPS) representation. Motivated by this, here we report a MPS code, which is closely related to… Expand

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