Exact Green's functions and bosonization of a Luttinger liquid coupled to impedances

被引:0
|
作者
Pham, K.-V. [1 ]
机构
[1] Univ Paris 11, Phys Solides Lab, Orsay, France
来源
PROGRESS OF THEORETICAL PHYSICS | 2007年 / 118卷 / 03期
关键词
D O I
10.1143/PTP.118.377
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The exact Green's functions of a Luttinger Liquid (LL) connected to impedances are computed at zero and finite temperature. It is also shown that if the resistances are equal to the characteristic impedance of the Luttinger liquid, then the finite Luttinger liquid connected to resistors is equivalent to an infinite Luttinger liquid. Impedance boundary conditions (IBC) include also as a special limit the case of open boundary conditions, which are explicitly recovered. Finally bosonization for a LL with IBC is proven to hold.
引用
收藏
页码:377 / 411
页数:35
相关论文
共 50 条
  • [41] Exact thermodynamics and Luttinger liquid properties of the integrable t-J model
    Juttner, G
    Klumper, A
    Suzuki, J
    NUCLEAR PHYSICS B, 1997, 487 (03) : 650 - 674
  • [43] Quantum impurity in a Luttinger liquid: Exact solution of the Kane-Fisher model
    Rylands, Colin
    Andrei, Natan
    PHYSICAL REVIEW B, 2016, 94 (11)
  • [44] Celebrating Haldane's 'Luttinger liquid theory'
    Caux, Jean-Sebastien
    Smith, Cristiane Morais
    JOURNAL OF PHYSICS-CONDENSED MATTER, 2017, 29 (15)
  • [45] Quantum Hall edges with hard confinement: Exact solution beyond Luttinger liquid
    Fern, Richard
    Simon, Steven H.
    PHYSICAL REVIEW B, 2017, 95 (20)
  • [46] Exact solutions for Timoshenko beams on elastic foundations using Green's functions
    Wang, CM
    Lam, KY
    He, XQ
    MECHANICS OF STRUCTURES AND MACHINES, 1998, 26 (01): : 101 - 113
  • [47] Green’s functions of a half-infinite piezoelectric body: Exact solutions
    C. F. Gao
    N. Noda
    Acta Mechanica, 2004, 172 : 169 - 179
  • [48] Universal transport dynamics in a quenched tunnel-coupled Luttinger liquid
    Gambetta, F. M.
    Cavaliere, F.
    Citro, R.
    Sassetti, M.
    PHYSICAL REVIEW B, 2016, 94 (04)
  • [49] Green's functions of a half-infinite piezoelectric body: Exact solutions
    Gao, CF
    Noda, N
    ACTA MECHANICA, 2004, 172 (3-4) : 169 - 179
  • [50] CONSISTENT BOSONIZATION TREATMENT OF INTERACTING FERMION SYSTEMS IN DIMENSIONS HIGHER THAN ONE - REQUIREMENT FOR A LUTTINGER-LIQUID STATE
    LI, YM
    PHYSICAL REVIEW B, 1995, 51 (19): : 13046 - 13058