dorsal/arxiv
View SchemaExtended bound states and resonances of two fermions on a periodic lattice
| Authors | A. S. Blaer, H. C. Ren, O. Tchernyshyov |
|---|---|
| Categories | |
| ArXiv ID | supr-con/9608003 |
| URL | https://arxiv.org/abs/supr-con/9608003 |
| DOI | 10.1103/PhysRevB.55.6035 |
| Journal | Phys. Rev. B 55, 6035 (1997) |
Abstract
The high-$T_c$ cuprates are possible candidates for d-wave superconductivity, with the Cooper pair wave function belonging to a non-trivial irreducible representation of the lattice point group. We argue that this d-wave symmetry is related to a special form of the fermionic kinetic energy and does not require any novel pairing mechanism. In this context, we present a detailed study of the bound states and resonances formed by two lattice fermions interacting via a non-retarded potential that is attractive for nearest neighbors but repulsive for other relative positions. In the case of strong binding, a pair formed by fermions on adjacent lattice sites can have a small effective mass, thereby implying a high condensation temperature. For a weakly bound state, a pair with non-trivial symmetry tends to be smaller in size than an s-wave pair. These and other findings are discussed in connection with the properties of high-$T_c$ cuprate superconductors.
{
"annotation_id": "01276171-56a4-4b0f-8d84-e4ae9f8b58ec",
"date_created": "2026-03-02T18:02:50.829000Z",
"date_modified": "2026-03-02T18:02:50.829000Z",
"file_hash": "4965570d53e8381aa64bb3ead1ea31128aaeef0c88c7b0a4c3042739be476de2",
"private": false,
"record": {
"abstract": "The high-$T_c$ cuprates are possible candidates for d-wave superconductivity,\nwith the Cooper pair wave function belonging to a non-trivial irreducible\nrepresentation of the lattice point group. We argue that this d-wave symmetry\nis related to a special form of the fermionic kinetic energy and does not\nrequire any novel pairing mechanism. In this context, we present a detailed\nstudy of the bound states and resonances formed by two lattice fermions\ninteracting via a non-retarded potential that is attractive for nearest\nneighbors but repulsive for other relative positions. In the case of strong\nbinding, a pair formed by fermions on adjacent lattice sites can have a small\neffective mass, thereby implying a high condensation temperature. For a weakly\nbound state, a pair with non-trivial symmetry tends to be smaller in size than\nan s-wave pair. These and other findings are discussed in connection with the\nproperties of high-$T_c$ cuprate superconductors.",
"arxiv_id": "supr-con/9608003",
"authors": [
"A. S. Blaer",
"H. C. Ren",
"O. Tchernyshyov"
],
"categories": [
"supr-con",
"cond-mat.supr-con"
],
"doi": "10.1103/PhysRevB.55.6035",
"journal_ref": "Phys. Rev. B 55, 6035 (1997)",
"title": "Extended bound states and resonances of two fermions on a periodic lattice",
"url": "https://arxiv.org/abs/supr-con/9608003"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "3a02f0be-35b8-43cc-8c38-e91b29f6d9b5",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}