Symmetrized density-matrix renormalization-group method for excited states of Hubbard models

S. Ramasesha; Swapan K. Pati; H. R. Krishnamurthy; Z. Shuai; J. L. Brédas

Symmetrized density-matrix renormalization-group method for excited states of Hubbard models

S. Ramasesha^*, Swapan K. Pati, H. R. Krishnamurthy, Z. Shuai, J. L. Brédas

^*Corresponding author for this work

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

18 Scopus citations

Abstract

We extend the density-matrix renormalization-group (DMRG) method to exploit parity, C₂ (rotation by π), and electron-hole symmetries of model Hamiltonians. We demonstrate the power of this method by obtaining the lowest-energy states in all eight symmetry subspaces of Hubbard chains with up to 50 sites. The ground-state energy, optical gap, and spin gap of regular U = 4t and U= 6t Hubbard chains agree very well with exact results. This development extends the scope of the DMRG method and allows future applications to study of optical properties of low-dimensional conjugated polymeric systems.

Original language	English (US)
Pages (from-to)	7598-7601
Number of pages	4
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	54
Issue number	11
State	Published - Sep 15 1996
Externally published	Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

Cite this

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title = "Symmetrized density-matrix renormalization-group method for excited states of Hubbard models",

abstract = "We extend the density-matrix renormalization-group (DMRG) method to exploit parity, C2 (rotation by π), and electron-hole symmetries of model Hamiltonians. We demonstrate the power of this method by obtaining the lowest-energy states in all eight symmetry subspaces of Hubbard chains with up to 50 sites. The ground-state energy, optical gap, and spin gap of regular U = 4t and U= 6t Hubbard chains agree very well with exact results. This development extends the scope of the DMRG method and allows future applications to study of optical properties of low-dimensional conjugated polymeric systems.",

author = "S. Ramasesha and Pati, {Swapan K.} and Krishnamurthy, {H. R.} and Z. Shuai and Br{\'e}das, {J. L.}",

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T1 - Symmetrized density-matrix renormalization-group method for excited states of Hubbard models

AU - Ramasesha, S.

AU - Pati, Swapan K.

AU - Krishnamurthy, H. R.

AU - Shuai, Z.

AU - Brédas, J. L.

PY - 1996/9/15

Y1 - 1996/9/15

N2 - We extend the density-matrix renormalization-group (DMRG) method to exploit parity, C2 (rotation by π), and electron-hole symmetries of model Hamiltonians. We demonstrate the power of this method by obtaining the lowest-energy states in all eight symmetry subspaces of Hubbard chains with up to 50 sites. The ground-state energy, optical gap, and spin gap of regular U = 4t and U= 6t Hubbard chains agree very well with exact results. This development extends the scope of the DMRG method and allows future applications to study of optical properties of low-dimensional conjugated polymeric systems.

AB - We extend the density-matrix renormalization-group (DMRG) method to exploit parity, C2 (rotation by π), and electron-hole symmetries of model Hamiltonians. We demonstrate the power of this method by obtaining the lowest-energy states in all eight symmetry subspaces of Hubbard chains with up to 50 sites. The ground-state energy, optical gap, and spin gap of regular U = 4t and U= 6t Hubbard chains agree very well with exact results. This development extends the scope of the DMRG method and allows future applications to study of optical properties of low-dimensional conjugated polymeric systems.

UR - http://www.scopus.com/inward/record.url?scp=0000581813&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0000581813

SN - 0163-1829

VL - 54

SP - 7598

EP - 7601

JO - Physical Review B

JF - Physical Review B

IS - 11

ER -

Symmetrized density-matrix renormalization-group method for excited states of Hubbard models

Abstract

ASJC Scopus subject areas

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