scholarly journals ORDERING FROM FRUSTRATION IN A STRONGLY CORRELATED ONE-DIMENSIONAL SYSTEM

2009 ◽  
Vol 23 (18) ◽  
pp. 3687-3708
Author(s):  
SIDDHARTHA LAL ◽  
MUKUL S. LAAD
Keyword(s):  
Phase Diagram ◽  
Quantum Critical Point ◽  
Ground States ◽  
Charge Order ◽  
Dimensional System ◽  
Dimensional Crossover ◽  
Coulomb Interactions ◽  
One Dimensional ◽  
Spin Order ◽  
Quantum Critical

We study a one-dimensional extended Hubbard model with longer-range Coulomb interactions at quarter-filling in the strong coupling limit. We find two different charge-ordered (CO) ground states (Wigner and Peierls) as the strength of the longer range interactions is varied. At lower energies, the two CO states drive different spin-ordered ground states (Heisenberg antiferromagnet and dimerised respectively), reminiscent of the phase diagram of the TMTTF and TMTSF organic charge transfer salts. Several response functions computed in the quantum critical regime bear a remarkable resemblance to recent experimental observations related to CO in the organic TMTTF systems. RPA studies of coupled chains reveal a phase diagram with the ordered phase extended to finite temperatures and a phase boundary ending at a quantum critical point (QCP). Critical quantum fluctuations at the QCP enhance the transverse dispersion, leading to a dimensional crossover and a T = 0 deconfinement transition from insulating chains to anisotropic metallic planar behavior. Numerical estimates for the hierarchy of energy scales associated with charge and spin order and the dimensional crossover compare well with the values obtained experimentally. This leads us to propose that the TMTTF and TMTSF systems are proximate to a QCP associated with T = 0 charge order.

scholarly journals Emergent symmetry and conserved current at a one-dimensional incarnation of deconfined quantum critical point

2019 ◽  
Vol 100 (12) ◽  
Author(s):  
Rui-Zhen Huang ◽  
Da-Chuan Lu ◽  
Yi-Zhuang You ◽  
Zi Yang Meng ◽  
Tao Xiang
Keyword(s):  
Critical Point ◽  
Quantum Critical Point ◽  
One Dimensional ◽  
Conserved Current ◽  
Quantum Critical

scholarly journals Realistic quantum critical point in one-dimensional two-impurity models

2017 ◽  
Vol 96 (4) ◽  
Author(s):  
Benedikt Lechtenberg ◽  
Fabian Eickhoff ◽  
Frithjof B. Anders
Keyword(s):  
Critical Point ◽  
Quantum Critical Point ◽  
One Dimensional ◽  
Quantum Critical ◽  
Impurity Models

scholarly journals Ambient Pressure Structural Quantum Critical Point in the Phase Diagram of(CaxSr1−x)3Rh4Sn13

2015 ◽  
Vol 114 (9) ◽  
Author(s):  
S. K. Goh ◽  
D. A. Tompsett ◽  
P. J. Saines ◽  
H. C. Chang ◽  
T. Matsumoto ◽  
...  
Keyword(s):  
Phase Diagram ◽  
Critical Point ◽  
Ambient Pressure ◽  
Quantum Critical Point ◽  
Quantum Critical

scholarly journals MOMENTUM DISTRIBUTION OF ITINERANT ELECTRONS IN THE ONE-DIMENSIONAL FALICOV–KIMBALL MODEL

2003 ◽  
Vol 17 (27) ◽  
pp. 4897-4911 ◽  
Author(s):  
PAVOL FARKAŠOVSKÝ
Keyword(s):  
Momentum Distribution ◽  
Ground States ◽  
Local Maximum ◽  
Singular Behavior ◽  
Coulomb Interactions ◽  
Unusual Behavior ◽  
One Dimensional ◽  
Itinerant Electrons ◽  
Half Filling ◽  
The One

The momentum distribution nk of itinerant electrons in the one-dimensional Falicov–Kimball model is calculated for various ground-state phases. In particular, we examine the periodic phases with period two, three and four (that are ground-states for all Coulomb interactions) as well as the phase separated states (that are ground states for small Coulomb interactions). For all periodic phases examined the momentum distribution is a smooth function of k with no sign of any discontinuity or singular behavior at the Fermi surface k=kF. An unusual behavior of nk (a local maximum) is found at k=3kF for electron concentrations outside half-filling. For the phase separated ground states the momentum distribution nk exhibits discontinuity at k=k0<kF. This behavior is interpreted in terms of a Fermi liquid.

NON-FERMI LIQUID BEHAVIOR IN THE SINGLE-IMPURITY MIXED VALENCE PROBLEM

1995 ◽  
Vol 09 (23) ◽  
pp. 1527-1533
Author(s):  
GUANG-MING ZHANG ◽  
ZHAO-BIN SU ◽  
LU YU
Keyword(s):  
Critical Point ◽  
Fermi Liquid ◽  
Mixed Valence ◽  
Quantum Critical Point ◽  
Coulomb Interactions ◽  
Single Impurity ◽  
Liquid Behavior ◽  
New Type ◽  
Quantum Critical ◽  
Fermi Liquid Behavior

An effective Hamiltonian of the Anderson single-impurity model with finite-range Coulomb interactions is derived near a particular limit, which is analogous to the Toulouse limit of the ordinary Kondo problem, and the physical properties around the mixed valence quantum critical point are calculated. At this quantum critical point, the local moment is only partially quenched and X-ray edge singularities are exhibited. Around this point, a new type of non-Fermi liquid behavior is predicted with an extra specific heat C imp ~ T1/4 + AT ln T and spin-susceptibility χ imp ~T−3/4 + B ln T.

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