Derivation of a matrix-valued Boltzmann equation for the Hubbard model

Martin L.R. Fürst; Jani Lukkarinen; Peng Mei; Herbert Spohn

doi:10.1088/1751-8113/46/48/485002

Derivation of a matrix-valued Boltzmann equation for the Hubbard model

Martin L.R. Fürst
, Jani Lukkarinen
, Peng Mei
, Herbert Spohn

TUM Emeriti of Excellence

Technical University of Munich
Cluster of Excellence E-conversion
University of Helsinki

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

13 Scopus citations

Abstract

For the spin-1/2 Fermi-Hubbard model, we derive the kinetic equation valid for weak interactions by using a time-dependent perturbation expansion up to second order. In recent theoretical and numerical studies, the kinetic equation has merely been stated without further details. In this contribution, we provide the required background material.

Original language	English
Article number	485002
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	46
Issue number	48
DOIs	https://doi.org/10.1088/1751-8113/46/48/485002
State	Published - 6 Dec 2013

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title = "Derivation of a matrix-valued Boltzmann equation for the Hubbard model",

abstract = "For the spin-1/2 Fermi-Hubbard model, we derive the kinetic equation valid for weak interactions by using a time-dependent perturbation expansion up to second order. In recent theoretical and numerical studies, the kinetic equation has merely been stated without further details. In this contribution, we provide the required background material.",

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AU - Fürst, Martin L.R.

AU - Lukkarinen, Jani

AU - Mei, Peng

AU - Spohn, Herbert

PY - 2013/12/6

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N2 - For the spin-1/2 Fermi-Hubbard model, we derive the kinetic equation valid for weak interactions by using a time-dependent perturbation expansion up to second order. In recent theoretical and numerical studies, the kinetic equation has merely been stated without further details. In this contribution, we provide the required background material.

AB - For the spin-1/2 Fermi-Hubbard model, we derive the kinetic equation valid for weak interactions by using a time-dependent perturbation expansion up to second order. In recent theoretical and numerical studies, the kinetic equation has merely been stated without further details. In this contribution, we provide the required background material.

UR - https://www.scopus.com/pages/publications/84888596410

U2 - 10.1088/1751-8113/46/48/485002

DO - 10.1088/1751-8113/46/48/485002

M3 - Article

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VL - 46

JO - Journal of Physics A: Mathematical and Theoretical

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ER -

Derivation of a matrix-valued Boltzmann equation for the Hubbard model

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