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Hole pairing and ground state properties of high-T c superconductivity within the t–t′–J–V model

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Abstract

The t–t′–J–V model, one of the realistic models for studying high-T c cuprates, has been investigated to explore the hole pairing and other ground state properties using exact diagonalization (ED) technique with 2 holes in a small 8-site cluster. The role of next-nearest-neighbor (NNN) hopping and nearest-neighbor (NN) Coulomb repulsion has been considered. It appears that qualitative behavior of the ground state energies of an 8-site and 16- or 18-site cluster is similar. Results show that a small short-ranged antiferromagnetic (AF) correlation exists in the 2 hole case which is favored by large V∕t. A superconducting phase emerges at 0 ≤ V∕t ≤ 4J. Hole–hole correlation calculation also suggests that the two holes of the pair are either at |i − j| = 1 or √2. Negative t′∕t suppresses the possibility of pairing of holes. Though s-wave pairing susceptibility is dominant, pairing correlation length calculation indicates that the long range pairing, which is suitable for superconductivity, is in the d-wave channel. Both s- and d-wave pairing susceptibility gets suppressed by V∕t while d-(s-) wave susceptibility gets favored (suppressed) by t′∕t. The charge gap shows a gapped behavior while a spin-gapless region exists at small V∕t for finite t′∕t.

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Authors and Affiliations

  1. Department of Physics, University of Kalyani, Kalyani, 741235, India

    Krishanu Roy, Papiya Pal & Nanda Kumar Ghosh

  2. Department of Physics, Krishnagar Govt. College, Krishnagar, 741101, India

    Subhadip Nath

Authors
  1. Krishanu Roy
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  2. Papiya Pal
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  3. Subhadip Nath
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  4. Nanda Kumar Ghosh
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Correspondence to Subhadip Nath.

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Roy, K., Pal, P., Nath, S. et al. Hole pairing and ground state properties of high-T c superconductivity within the t–t′–J–V model. Eur. Phys. J. B 91, 64 (2018). https://doi.org/10.1140/epjb/e2018-80488-y

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  • DOI: https://doi.org/10.1140/epjb/e2018-80488-y

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