Excitations in the dilute AL lattice model: E6, E7 and E8 mass spectra

M. T. Batchelor; K. A. Seaton

doi:10.1007/s100510050495

Excitations in the dilute A_L lattice model: E₆, E₇ and E₈ mass spectra

M. T. Batchelor^*
, K. A. Seaton

^*Corresponding author for this work

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

8 Citations (Scopus)

Abstract

On the basis of features observed in the exact perturbation approach solution for the eigenspectrum of the dilute A₃ model, we propose expressions for excitations in the dilute A₄ and A₆ models. Principally, we require that these expressions satisfy the appropriate inversion relations. We demonstrate that they give the expected E₇ and E₆ mass spectra, and universal amplitudes, and agree with numerical expressions for the eigenvalues.

Original language	English
Pages (from-to)	719-725
Number of pages	7
Journal	European Physical Journal B
Volume	5
Issue number	3
DOIs	https://doi.org/10.1007/s100510050495
Publication status	Published - 1998

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title = "Excitations in the dilute AL lattice model: E6, E7 and E8 mass spectra",

abstract = "On the basis of features observed in the exact perturbation approach solution for the eigenspectrum of the dilute A3 model, we propose expressions for excitations in the dilute A4 and A6 models. Principally, we require that these expressions satisfy the appropriate inversion relations. We demonstrate that they give the expected E7 and E6 mass spectra, and universal amplitudes, and agree with numerical expressions for the eigenvalues.",

keywords = "05.70.Jk Critical point phenomena, 64.60.Cn Statistical mechanics of model systems, 75.10.Jm Quantized spin models",

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year = "1998",

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journal = "European Physical Journal B",

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T1 - Excitations in the dilute AL lattice model

T2 - E6, E7 and E8 mass spectra

AU - Batchelor, M. T.

AU - Seaton, K. A.

PY - 1998

Y1 - 1998

N2 - On the basis of features observed in the exact perturbation approach solution for the eigenspectrum of the dilute A3 model, we propose expressions for excitations in the dilute A4 and A6 models. Principally, we require that these expressions satisfy the appropriate inversion relations. We demonstrate that they give the expected E7 and E6 mass spectra, and universal amplitudes, and agree with numerical expressions for the eigenvalues.

AB - On the basis of features observed in the exact perturbation approach solution for the eigenspectrum of the dilute A3 model, we propose expressions for excitations in the dilute A4 and A6 models. Principally, we require that these expressions satisfy the appropriate inversion relations. We demonstrate that they give the expected E7 and E6 mass spectra, and universal amplitudes, and agree with numerical expressions for the eigenvalues.

KW - 05.70.Jk Critical point phenomena

KW - 64.60.Cn Statistical mechanics of model systems

KW - 75.10.Jm Quantized spin models

UR - https://www.scopus.com/pages/publications/0032305516

U2 - 10.1007/s100510050495

DO - 10.1007/s100510050495

M3 - Article

SN - 1434-6028

VL - 5

SP - 719

EP - 725

JO - European Physical Journal B

JF - European Physical Journal B

IS - 3

ER -

Excitations in the dilute A_L lattice model: E₆, E₇ and E₈ mass spectra

Abstract

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