Phase separation as an instability of the Tomonaga-Luttinger liquid

Masaaki Nakamura, Kiyohide Nomura

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Asymptotic behavior of the Tomonaga-Luttinger liquid in the vicinity of the phase-separated region is investigated in the one-dimensional (Formula presented) model to study the universal property of the (Formula presented) conformal field theory with U(1) symmetry near the (Formula presented) instability. By analogy to the spinless fermion, we argue that the compressibility behaves as (Formula presented) and that the Drude weight is constant and changes to zero discontinuously at the phase boundary. This speculation is confirmed by analyzing the finite-size effect from the result of the exact diagonalization.

Original languageEnglish
Pages (from-to)12840-12846
Number of pages7
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume56
Issue number20
DOIs
Publication statusPublished - Jan 1 1997

Fingerprint

Fermions
Phase boundaries
Compressibility
Phase separation
Liquids
liquids
compressibility
fermions
symmetry

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Phase separation as an instability of the Tomonaga-Luttinger liquid. / Nakamura, Masaaki; Nomura, Kiyohide.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 56, No. 20, 01.01.1997, p. 12840-12846.

Research output: Contribution to journalArticle

@article{e7163a4bbdb2414999a6e7311fd7c93e,
title = "Phase separation as an instability of the Tomonaga-Luttinger liquid",
abstract = "Asymptotic behavior of the Tomonaga-Luttinger liquid in the vicinity of the phase-separated region is investigated in the one-dimensional (Formula presented) model to study the universal property of the (Formula presented) conformal field theory with U(1) symmetry near the (Formula presented) instability. By analogy to the spinless fermion, we argue that the compressibility behaves as (Formula presented) and that the Drude weight is constant and changes to zero discontinuously at the phase boundary. This speculation is confirmed by analyzing the finite-size effect from the result of the exact diagonalization.",
author = "Masaaki Nakamura and Kiyohide Nomura",
year = "1997",
month = "1",
day = "1",
doi = "10.1103/PhysRevB.56.12840",
language = "English",
volume = "56",
pages = "12840--12846",
journal = "Physical Review B - Condensed Matter and Materials Physics",
issn = "1098-0121",
publisher = "American Physical Society",
number = "20",

}

TY - JOUR

T1 - Phase separation as an instability of the Tomonaga-Luttinger liquid

AU - Nakamura, Masaaki

AU - Nomura, Kiyohide

PY - 1997/1/1

Y1 - 1997/1/1

N2 - Asymptotic behavior of the Tomonaga-Luttinger liquid in the vicinity of the phase-separated region is investigated in the one-dimensional (Formula presented) model to study the universal property of the (Formula presented) conformal field theory with U(1) symmetry near the (Formula presented) instability. By analogy to the spinless fermion, we argue that the compressibility behaves as (Formula presented) and that the Drude weight is constant and changes to zero discontinuously at the phase boundary. This speculation is confirmed by analyzing the finite-size effect from the result of the exact diagonalization.

AB - Asymptotic behavior of the Tomonaga-Luttinger liquid in the vicinity of the phase-separated region is investigated in the one-dimensional (Formula presented) model to study the universal property of the (Formula presented) conformal field theory with U(1) symmetry near the (Formula presented) instability. By analogy to the spinless fermion, we argue that the compressibility behaves as (Formula presented) and that the Drude weight is constant and changes to zero discontinuously at the phase boundary. This speculation is confirmed by analyzing the finite-size effect from the result of the exact diagonalization.

UR - http://www.scopus.com/inward/record.url?scp=0000525610&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000525610&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.56.12840

DO - 10.1103/PhysRevB.56.12840

M3 - Article

VL - 56

SP - 12840

EP - 12846

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

SN - 1098-0121

IS - 20

ER -