Nested algebraic Bethe ansatz for the supersymmetric t-J model and tensor networks

Y. Q. Chong; V. Murg; V. E. Korepin; F. Verstraete

doi:10.1103/PhysRevB.91.195132

Nested algebraic Bethe ansatz for the supersymmetric t-J model and tensor networks

Y. Q. Chong
, V. Murg
, V. E. Korepin
, F. Verstraete

Institute for Theoretical Physics

Stony Brook University
University of Vienna

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

7 Scopus citations

Abstract

We consider a model of strongly correlated electrons in 1D called the t-J model, which was solved by the graded algebraic Bethe ansatz. We use it to design graded tensor networks which can be contracted approximately to obtain a matrix product state. As a proof of principle, we calculate observables of ground states and excited states of finite lattices up to 18 lattice sites.

Original language	English
Article number	195132
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	91
Issue number	19
DOIs	https://doi.org/10.1103/PhysRevB.91.195132
State	Published - May 20 2015

Access to Document

10.1103/PhysRevB.91.195132

Cite this

@article{b445019da9fb4cd9b40e873d33305aec,

title = "Nested algebraic Bethe ansatz for the supersymmetric t-J model and tensor networks",

abstract = "We consider a model of strongly correlated electrons in 1D called the t-J model, which was solved by the graded algebraic Bethe ansatz. We use it to design graded tensor networks which can be contracted approximately to obtain a matrix product state. As a proof of principle, we calculate observables of ground states and excited states of finite lattices up to 18 lattice sites.",

author = "Chong, \{Y. Q.\} and V. Murg and Korepin, \{V. E.\} and F. Verstraete",

note = "Publisher Copyright: {\textcopyright}2015 American Physical Society.",

year = "2015",

month = may,

day = "20",

doi = "10.1103/PhysRevB.91.195132",

language = "English",

volume = "91",

journal = "Physical Review B - Condensed Matter and Materials Physics",

issn = "1098-0121",

number = "19",

}

TY - JOUR

T1 - Nested algebraic Bethe ansatz for the supersymmetric t-J model and tensor networks

AU - Chong, Y. Q.

AU - Murg, V.

AU - Korepin, V. E.

AU - Verstraete, F.

PY - 2015/5/20

Y1 - 2015/5/20

N2 - We consider a model of strongly correlated electrons in 1D called the t-J model, which was solved by the graded algebraic Bethe ansatz. We use it to design graded tensor networks which can be contracted approximately to obtain a matrix product state. As a proof of principle, we calculate observables of ground states and excited states of finite lattices up to 18 lattice sites.

AB - We consider a model of strongly correlated electrons in 1D called the t-J model, which was solved by the graded algebraic Bethe ansatz. We use it to design graded tensor networks which can be contracted approximately to obtain a matrix product state. As a proof of principle, we calculate observables of ground states and excited states of finite lattices up to 18 lattice sites.

UR - https://www.scopus.com/pages/publications/84930226494

U2 - 10.1103/PhysRevB.91.195132

DO - 10.1103/PhysRevB.91.195132

M3 - Article

AN - SCOPUS:84930226494

SN - 1098-0121

VL - 91

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 19

M1 - 195132

ER -

Nested algebraic Bethe ansatz for the supersymmetric t-J model and tensor networks

Abstract

Access to Document

Other files and links

Fingerprint

Cite this