Determination of Tomonaga-Luttinger parameters for a two-component liquid

被引：11

作者：

Sule, Olabode M. ^{[1
]}

Changlani, Hitesh J. ^{[1
]}

Maruyama, Isao ^{[2
]}

Ryu, Shinsei ^{[1
]}

机构：

[1] Univ Illinois, Dept Phys, Urbana, IL 61801 USA

[2] Fukuoka Inst Technol, Fac Informat Engn, Higashi Ku, Fukuoka 8110295, Japan

来源：

PHYSICAL REVIEW B | 2015年 / 92卷 / 07期

关键词：

QUANTUM; PHASE; MODEL;

D O I：

10.1103/PhysRevB.92.075128

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We provide evidence for the mapping of critical spin-1 chains, in particular the SU(3) symmetric bilinear-biquadratic model with additional interactions, to free boson theories using exact diagonalization and the density-matrix renormalization-group algorithm. Using the correspondence with a conformal field theory with central charge c = 2, we determine the analytic formulas for the scaling dimensions in terms of four Tomonaga-Luttinger liquid parameters. By matching the lowest scaling dimensions, we numerically calculate these field-theoretic parameters and track their evolution as a function of the parameters of the lattice model.

引用

页数：12

共 50 条

[1] Possibility of a two-component Tomonaga-Luttinger liquid in frustrated integer-spin tubes
Sato, Masahiro
Low Temperature Physics, Pts A and B, 2006, 850 : 1067 - 1068
[2] Tomonaga-Luttinger Liquid Parameters in Multiwalled Nanotubes
Grigoryan, Naira
Chudzinski, Piotr
PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS, 2025,
[3] Tomonaga-Luttinger liquid parameters of magnetic waveguides in graphene
Haeusler, W.
De Martino, A.
Ghosh, T. K.
Egger, R.
PHYSICAL REVIEW B, 2008, 78 (16)
[4] Resonance in a Tomonaga-Luttinger liquid
Safi, I
PHYSICAL REVIEW B, 1997, 56 (20) : 12691 - 12694
[5] KONDO EFFECT IN A TOMONAGA-LUTTINGER LIQUID
FURUSAKI, A
NAGAOSA, N
PHYSICAL REVIEW LETTERS, 1994, 72 (06) : 892 - 895
[6] On the renormalization of conductance in Tomonaga-Luttinger liquid
Kawabata, A
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1996, 65 (01) : 30 - 32
[7] KONDO EFFECT IN A TOMONAGA-LUTTINGER LIQUID
NAGAOSA, N
FURUSAKI, A
SYNTHETIC METALS, 1995, 71 (1-3) : 1871 - 1873
[8] Spectral functions in a two-velocities Tomonaga-Luttinger Liquid
Orignac, E.
Tsuchiizu, M.
Suzumura, Y.
INTERNATIONAL CONFERENCE ON STRONGLY CORRELATED ELECTRON SYSTEMS (SCES 2011), 2012, 391
[9] Multichannel impurity scattering in a Tomonaga-Luttinger liquid
Liu, YL
PHYSICAL REVIEW B, 1998, 57 (19): : 12104 - 12110
[10] Tomonaga-Luttinger liquid and localization in Weyl semimetals
Zhang, Xiao-Xiao
Nagaosa, Naoto
PHYSICAL REVIEW B, 2017, 95 (20)

← 1 2 3 4 5 →