Kagomé Lattice Antiferromagnet Stripped to Its Basics

Patrick Azaria; Chris Hooley; Philippe Lecheminant; Claire Lhuillier; Alexei Tsvelik

Kagomé Lattice Antiferromagnet Stripped to Its Basics

Patrick Azaria, Chris Hooley, Philippe Lecheminant, Claire Lhuillier, Alexei Tsvelik

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

Abstract

We study a model of the spin S = 1/2 Heisenberg antiferromagnet on a one-dimensional lattice with the local symmetry of the two-dimensional Kagomé lattice. Using three complementary approaches, it is shown that the low-energy spectrum can be described by two critical Ising models with different velocities. One of these velocities is small, leading to a strongly localized Majorana fermion. These excitations are singlet ones, whereas the triplet sector has a spectral gap.

Original language	English
Pages (from-to)	1694–1697
Number of pages	4
Journal	Physical Review Letters
Volume	81
Publication status	Published - 24 Aug 1998

Cite this

@article{f830a96ac2054375a775dd064192181c,

title = "Kagom{\'e} Lattice Antiferromagnet Stripped to Its Basics",

abstract = "We study a model of the spin S = 1/2 Heisenberg antiferromagnet on a one-dimensional lattice with the local symmetry of the two-dimensional Kagom{\'e} lattice. Using three complementary approaches, it is shown that the low-energy spectrum can be described by two critical Ising models with different velocities. One of these velocities is small, leading to a strongly localized Majorana fermion. These excitations are singlet ones, whereas the triplet sector has a spectral gap.",

author = "Patrick Azaria and Chris Hooley and Philippe Lecheminant and Claire Lhuillier and Alexei Tsvelik",

year = "1998",

month = aug,

day = "24",

language = "English",

volume = "81",

pages = "1694–1697",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

}

TY - JOUR

T1 - Kagomé Lattice Antiferromagnet Stripped to Its Basics

AU - Azaria, Patrick

AU - Hooley, Chris

AU - Lecheminant, Philippe

AU - Lhuillier, Claire

AU - Tsvelik, Alexei

PY - 1998/8/24

Y1 - 1998/8/24

N2 - We study a model of the spin S = 1/2 Heisenberg antiferromagnet on a one-dimensional lattice with the local symmetry of the two-dimensional Kagomé lattice. Using three complementary approaches, it is shown that the low-energy spectrum can be described by two critical Ising models with different velocities. One of these velocities is small, leading to a strongly localized Majorana fermion. These excitations are singlet ones, whereas the triplet sector has a spectral gap.

AB - We study a model of the spin S = 1/2 Heisenberg antiferromagnet on a one-dimensional lattice with the local symmetry of the two-dimensional Kagomé lattice. Using three complementary approaches, it is shown that the low-energy spectrum can be described by two critical Ising models with different velocities. One of these velocities is small, leading to a strongly localized Majorana fermion. These excitations are singlet ones, whereas the triplet sector has a spectral gap.

M3 - Article

SN - 0031-9007

VL - 81

SP - 1694

EP - 1697

JO - Physical Review Letters

JF - Physical Review Letters

ER -

Kagomé Lattice Antiferromagnet Stripped to Its Basics

Abstract

Fingerprint

Cite this