Variational Monte Carlo study of pairing symmetry in Sr2RuO4

Shogo Fujita; Tsutomu Watanabe; Seiichiro Onari; Hisatoshi Yokoyama; Yukio Tanaka; Jun ichiro Inoue

doi:10.1016/j.physc.2006.12.026

Variational Monte Carlo study of pairing symmetry in Sr₂RuO₄

Shogo Fujita, Tsutomu Watanabe, Seiichiro Onari, Hisatoshi Yokoyama, Yukio Tanaka, Jun ichiro Inoue

Graduate School of Natural Science and Technology

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

With a mind to superconductivity (SC) arising in Sr₂RuO₄, we study a Hubbard model on square lattice including second-neighbor hopping t′, using an optimization variational Monte Carlo method. As a pairing state, we have chosen d_{x2 - y2} (d) wave for singlet and p_x (p)-wave for triplet pairing state. In the trial wave functions, a doublon-holon binding effect is introduced in addition to the onsite Gutzwiller projection. By calculating condensation energies of the SC states, we found that when t′ = -0.4t, the d-wave state is stabilized against the normal state for 0.6 < n < 1. On the other hand, p-wave state is never stabilized in this regime. Based on this result, it is difficult to understand a spin-triplet state simply from the single-band Hubbard model with onsite Coulomb interaction.

Original language	English
Pages (from-to)	134-137
Number of pages	4
Journal	Physica C: Superconductivity and its applications
Volume	463-465
Issue number	SUPPL.
DOIs	https://doi.org/10.1016/j.physc.2006.12.026
Publication status	Published - Oct 1 2007

Keywords

Hubbard model
Unconventional superconductor
Variational Monte Carlo

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Energy Engineering and Power Technology
Electrical and Electronic Engineering

Access to Document

10.1016/j.physc.2006.12.026

Cite this

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title = "Variational Monte Carlo study of pairing symmetry in Sr2RuO4",

abstract = "With a mind to superconductivity (SC) arising in Sr2RuO4, we study a Hubbard model on square lattice including second-neighbor hopping t′, using an optimization variational Monte Carlo method. As a pairing state, we have chosen dx2 - y2 (d) wave for singlet and px (p)-wave for triplet pairing state. In the trial wave functions, a doublon-holon binding effect is introduced in addition to the onsite Gutzwiller projection. By calculating condensation energies of the SC states, we found that when t′ = -0.4t, the d-wave state is stabilized against the normal state for 0.6 < n < 1. On the other hand, p-wave state is never stabilized in this regime. Based on this result, it is difficult to understand a spin-triplet state simply from the single-band Hubbard model with onsite Coulomb interaction.",

keywords = "Hubbard model, Unconventional superconductor, Variational Monte Carlo",

author = "Shogo Fujita and Tsutomu Watanabe and Seiichiro Onari and Hisatoshi Yokoyama and Yukio Tanaka and Inoue, {Jun ichiro}",

year = "2007",

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T1 - Variational Monte Carlo study of pairing symmetry in Sr2RuO4

AU - Fujita, Shogo

AU - Watanabe, Tsutomu

AU - Onari, Seiichiro

AU - Yokoyama, Hisatoshi

AU - Tanaka, Yukio

AU - Inoue, Jun ichiro

PY - 2007/10/1

Y1 - 2007/10/1

N2 - With a mind to superconductivity (SC) arising in Sr2RuO4, we study a Hubbard model on square lattice including second-neighbor hopping t′, using an optimization variational Monte Carlo method. As a pairing state, we have chosen dx2 - y2 (d) wave for singlet and px (p)-wave for triplet pairing state. In the trial wave functions, a doublon-holon binding effect is introduced in addition to the onsite Gutzwiller projection. By calculating condensation energies of the SC states, we found that when t′ = -0.4t, the d-wave state is stabilized against the normal state for 0.6 < n < 1. On the other hand, p-wave state is never stabilized in this regime. Based on this result, it is difficult to understand a spin-triplet state simply from the single-band Hubbard model with onsite Coulomb interaction.

AB - With a mind to superconductivity (SC) arising in Sr2RuO4, we study a Hubbard model on square lattice including second-neighbor hopping t′, using an optimization variational Monte Carlo method. As a pairing state, we have chosen dx2 - y2 (d) wave for singlet and px (p)-wave for triplet pairing state. In the trial wave functions, a doublon-holon binding effect is introduced in addition to the onsite Gutzwiller projection. By calculating condensation energies of the SC states, we found that when t′ = -0.4t, the d-wave state is stabilized against the normal state for 0.6 < n < 1. On the other hand, p-wave state is never stabilized in this regime. Based on this result, it is difficult to understand a spin-triplet state simply from the single-band Hubbard model with onsite Coulomb interaction.

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KW - Unconventional superconductor

KW - Variational Monte Carlo

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