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Title: Ground-state phase diagram of the t-t ′ -J model
We report results of large-scale ground-state density matrix renormalization group (DMRG) calculations on t- t -J cylinders with circumferences 6 and 8. We determine a rough phase diagram that appears to approximate the two-dimensional (2D) system. While for many properties, positive and negative t values ( t / t = ± 0.2 ) appear to correspond to electron- and hole-doped cuprate systems, respectively, the behavior of superconductivity itself shows an inconsistency between the model and the materials. The t < 0 (hole-doped) region shows antiferromagnetism limited to very low doping, stripes more generally, and the familiar Fermi surface of the hole-doped cuprates. However, we find t < 0 strongly suppresses superconductivity. The t > 0 (electron-doped) region shows the expected circular Fermi pocket of holes around the ( π , π ) point and a broad low-doped region of coexisting antiferromagnetism and d-wave pairing with a triplet p component at wavevector ( π , π ) induced by the antiferromagnetism and d-wave pairing. The pairing for the electron low-doped system with t > 0 is strong and unambiguous in the DMRG simulations. At larger doping another broad region with stripes in addition to weaker d-wave pairing and striped p-wave pairing appears. In a small doping region near x = 0.08 for t 0.2 , we find an unconventional type of stripe involving unpaired holes located predominantly on chains spaced three lattice spacings apart. The undoped two-leg ladder regions in between mimic the short-ranged spin correlations seen in two-leg Heisenberg ladders.  more » « less
Award ID(s):
2110041
PAR ID:
10307360
Author(s) / Creator(s):
; ;
Publisher / Repository:
Proceedings of the National Academy of Sciences
Date Published:
Journal Name:
Proceedings of the National Academy of Sciences
Volume:
118
Issue:
44
ISSN:
0027-8424
Page Range / eLocation ID:
Article No. e2109978118
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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