scholarly journals The Tomonaga–Luttinger liquid with quantum impurity revisited: Critical line and phase diagram

2017 ◽  
Vol 381 (1) ◽  
pp. 53-58 ◽  
Author(s):  
Taejin Lee
2014 ◽  
Vol 90 (23) ◽  
Author(s):  
Ya-Lin Lo ◽  
Yun-Da Hsieh ◽  
Chang-Yu Hou ◽  
Pochung Chen ◽  
Ying-Jer Kao

2011 ◽  
Vol 84 (5) ◽  
Author(s):  
François Crépin ◽  
Nicolas Laflorencie ◽  
Guillaume Roux ◽  
Pascal Simon

2011 ◽  
Vol 106 (8) ◽  
Author(s):  
S. Zaum ◽  
K. Grube ◽  
R. Schäfer ◽  
E. D. Bauer ◽  
J. D. Thompson ◽  
...  

2013 ◽  
Vol 88 (6) ◽  
Author(s):  
Shintaro Takayoshi ◽  
Hosho Katsura ◽  
Noriaki Watanabe ◽  
Hideo Aoki

2011 ◽  
Vol 25 (12n13) ◽  
pp. 901-908 ◽  
Author(s):  
MASAHIRO SATO ◽  
SHUNSUKE FURUKAWA ◽  
SHIGEKI ONODA ◽  
AKIRA FURUSAKI

We summarize our theoretical findings on the ground-state phase diagram of the spin-½ XXZ chain having competing nearest-neighbor (J1) and antiferromagnetic next-nearest-neighbor (J2) couplings. Our study is mainly concerned with the case of ferromagnetic J1, and the case of antiferromagnetic J1 is briefly reviewed for comparison. The phase diagram contains a rich variety of phases in the plane of J1/J2 versus the XXZ anisotropy Δ: vector-chiral phases, Néel phases, several dimer phases, and Tomonaga–Luttinger liquid phases. We discuss the vector-chiral order that appears for a remarkably wide parameter space, successive Néel-dimer phase transitions, and an emergent nonlocal string order in a narrow region of ferromagnetic J1 side.


1992 ◽  
Vol 07 (37) ◽  
pp. 3465-3477
Author(s):  
OSCAR DIEGO ◽  
JOSÉ GONZÁLEZ

We study the simplest perturbation of the matrix model for pure gravity susceptible of reaching the k=3 multicritical point in the framework of the stochastic stabilization of 2D quantum gravity. We show the existence of a line of points in the phase diagram with the genuine critical behavior of the k=2 theory. All the points of the critical line, up to the tricritical point, can be approached from a stable phase at the dominant level in 1/N expansion.


1999 ◽  
Vol 10 (01) ◽  
pp. 301-308 ◽  
Author(s):  
WENAN GUO ◽  
HENK W. J. BLÖTE ◽  
BERNARD NIENHUIS

The phase diagram of the O (n) model, in particular the special case n=0, is studied by means of transfer-matrix calculations on the loop representation of the O (n) model. The model is defined on the square lattice; the loops are allowed to collide at the lattice vertices, but not to intersect. The loop model contains three variable parameters that determine the loop density or temperature, the energy of a bend in a loop, and the interaction energy of colliding loop segments. A finite-size analysis of the transfer-matrix results yields the phase diagram in a special plane of the parameter space. These results confirm the existence of a multicritical point and an Ising-like critical line in the low-temperature O (n) phase.


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