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<p>The long-range carrier-lattice interaction is a significant factor in determining the characteristics of high Tc superconductors. In this work, the well-known t-J model extended by long-range Fröhlich-type interaction is studied in the context of the cuprate superconductors. We consider a system where doping of holes in the parent compound creates a lattice distortion or phonon that interacts with these doped holes. We study these effects using exact diagonalization on a tilted 8-site square lattice with periodic boundary conditions and a restricted phonon basis. Long-range hole-phonon (<InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_7010_Article_IEq3.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="50" /> </InlineMediaObject> <EquationSource Format="TEX">\(\text {h}-\text {ph}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mtext>h</mtext> <mo>-</mo> <mtext>ph</mtext> </mrow> </math></EquationSource> </InlineEquation>) interaction transforms the mobile holes into quasiparticles with a higher effective mass and lower mobility. Depending on the strength of the <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_7010_Article_IEq3.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="50" /> </InlineMediaObject> <EquationSource Format="TEX">\(\text {h}-\text {ph}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mtext>h</mtext> <mo>-</mo> <mtext>ph</mtext> </mrow> </math></EquationSource> </InlineEquation> interaction and phonon energies, calculation of effective kinetic energy, correlation functions, average hole-hole distance, and binding energy indicates the presence of different types of hole-polarons (HP) and bipolarons (HBP). A distinct single peak in the specific heat curve arises due to charge fluctuations in the system. Entropy calculations indicate a transition towards a more ordered quasiparticle state. As the phonon interaction strength increases, this transition becomes more pronounced, reflecting enhanced order in the system.</p>

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Hole-Phonon Interaction in the Fröhlich-\(\text {t}-\text {J}\) Model: A Theoretical Perspective

  • 期刊论文

  • 发表日期：

    2025年6月30日

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  • Srijani Ghosh,
  • Nanda Kumar Ghosh,
  • Subhadip Nath

摘要

The long-range carrier-lattice interaction is a significant factor in determining the characteristics of high Tc superconductors. In this work, the well-known t-J model extended by long-range Fröhlich-type interaction is studied in the context of the cuprate superconductors. We consider a system where doping of holes in the parent compound creates a lattice distortion or phonon that interacts with these doped holes. We study these effects using exact diagonalization on a tilted 8-site square lattice with periodic boundary conditions and a restricted phonon basis. Long-range hole-phonon ( \(\text {h}-\text {ph}\) h - ph ) interaction transforms the mobile holes into quasiparticles with a higher effective mass and lower mobility. Depending on the strength of the \(\text {h}-\text {ph}\) h - ph interaction and phonon energies, calculation of effective kinetic energy, correlation functions, average hole-hole distance, and binding energy indicates the presence of different types of hole-polarons (HP) and bipolarons (HBP). A distinct single peak in the specific heat curve arises due to charge fluctuations in the system. Entropy calculations indicate a transition towards a more ordered quasiparticle state. As the phonon interaction strength increases, this transition becomes more pronounced, reflecting enhanced order in the system.