Numerical Study of the WheatleyHsuAnderson Interlayer Tunneling mechanism of High T_c S.pdfVIP

IMSc 92/38 cond-mat@babbage/9209017 Numerical Study of the Wheatley-Hsu-Anderson Interlayer Tunneling mechanism of High Tc Superconductivity 2 Mihir Arjunwadkar 9 9 1 Department of Physics, University of Poona p e Pune 411 007 INDIA S 6 1 G. Baskaran, Rahul Basu and V. N. Muthukumar† 1 v The Institute of Mathematical Sciences, Madras 600 113 INDIA 7 1 0 9 0 2 We present results obtained (by exact diagonalization) for the problem of two t−J 9 / planes with an interlayer coupling t⊥ . Our results for small hole concentrations show t a m that in-plane superconducting correlations are enhanced by t⊥ . When the constraint - d n on double occupancy in the t−Jmodel is relaxed, the enhancement disappears. These o c results illustrate the inter–layer tunneling mechanism for superconductivity. : v i X r a 1 Ever since Anderson’s proposal [1] that the physics of the high Tc superconductors is contained in the one band Hubbard Hamiltonian H = −t c† cjσ + U ni↑ni↓ (1) iσ i,j i in the limit of large U , the Hubbard model and its derivative, the t − J model 1 †