scholarly journals One-dimensional behavior and sliding Luttinger liquid phase in a frustrated spin-12crossed chain model: Contribution of exact diagonalizations

2002 ◽  
Vol 66 (17) ◽  
Author(s):  
P. Sindzingre ◽  
J.-B. Fouet ◽  
C. Lhuillier
Keyword(s):  
Liquid Phase ◽  
Luttinger Liquid ◽  
Chain Model ◽  
One Dimensional ◽  
Frustrated Spin

scholarly journals String orders in the Luttinger liquid phase of one-dimensional spin-1/2 systems

2019 ◽  
Vol 516 ◽  
pp. 212-221
Author(s):  
Hadi Cheraghi ◽  
Majid Jafar Tafreshi ◽  
Saeed Mahdavifar
Keyword(s):  
Liquid Phase ◽  
Luttinger Liquid ◽  
One Dimensional

scholarly journals Identification of Unentangled–Entangled Border in the Luttinger Liquid Phase

Crystals ◽  
2019 ◽  
Vol 9 (2) ◽  
pp. 105 ◽  
Author(s):  
Somayyeh Nemati ◽  
Fatemeh Khastehdel Fumani ◽  
Saeed Mahdavifar
Keyword(s):  
Liquid Phase ◽  
Quantum Discord ◽  
Luttinger Liquid ◽  
Quantum Correlations ◽  
Transverse Magnetic ◽  
One Dimensional ◽  
Spin Pairs ◽  
The One ◽  
Derivatives Of ◽  
Xx Model

Quantum discord and entanglement are both criteria for distinguishing quantum correlations in a quantum system. We studied the effect of the transverse magnetic field on the quantum discord of the one-dimensional spin-1/2 XX model. This study focused on the pair of spins at different distances. We show that quantum discord is finite for all studied spin pairs in the Luttinger liquid phase. In addition, relying on our calculations, we show that the derivatives of quantum discord can be used to identify the border between entangled and separable regions in the Luttinger liquid phase.

scholarly journals Anomalous Diffusion with an Apparently Negative Diffusion Coefficient in a One-Dimensional Quantum Molecular Chain Model

Symmetry ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 506
Author(s):  
Sho Nakade ◽  
Kazuki Kanki ◽  
Satoshi Tanaka ◽  
Tomio Petrosky
Keyword(s):  
Diffusion Coefficient ◽  
Diffusion Constant ◽  
Mean Square Displacement ◽  
Second Law Of Thermodynamics ◽  
Molecular Chain ◽  
Chain Model ◽  
Phase Mixing ◽  
One Dimensional ◽  
The One ◽  
Negative Diffusion

An interesting anomaly in the diffusion process with an apparently negative diffusion coefficient defined through the mean-square displacement in a one-dimensional quantum molecular chain model is shown. Nevertheless, the system satisfies the H-theorem so that the second law of thermodynamics is satisfied. The reason why the “diffusion constant” becomes negative is due to the effect of the phase mixing process, which is a characteristic result of the one-dimensionality of the system. We illustrate the situation where this negative “diffusion constant” appears.

scholarly journals Gate-tunable plasmons in mixed-dimensional van der Waals heterostructures

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Sheng Wang ◽  
SeokJae Yoo ◽  
Sihan Zhao ◽  
Wenyu Zhao ◽  
Salman Kahn ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Carrier Density ◽  
Electromagnetic Interaction ◽  
Luttinger Liquid ◽  
Fundamental Physics ◽  
Metallic Structures ◽  
One Dimensional ◽  
Figures Of Merit ◽  
Electrostatic Gating ◽  
Plasmon Dispersion

AbstractSurface plasmons, collective electromagnetic excitations coupled to conduction electron oscillations, enable the manipulation of light–matter interactions at the nanoscale. Plasmon dispersion of metallic structures depends sensitively on their dimensionality and has been intensively studied for fundamental physics as well as applied technologies. Here, we report possible evidence for gate-tunable hybrid plasmons from the dimensionally mixed coupling between one-dimensional (1D) carbon nanotubes and two-dimensional (2D) graphene. In contrast to the carrier density-independent 1D Luttinger liquid plasmons in bare metallic carbon nanotubes, plasmon wavelengths in the 1D-2D heterostructure are modulated by 75% via electrostatic gating while retaining the high figures of merit of 1D plasmons. We propose a theoretical model to describe the electromagnetic interaction between plasmons in nanotubes and graphene, suggesting plasmon hybridization as a possible origin for the observed large plasmon modulation. The mixed-dimensional plasmonic heterostructures may enable diverse designs of tunable plasmonic nanodevices.

The combined effect of lattice’s uniaxial strains and electron–phonon interaction’s screening on TBEC of the intersite bipolarons

2016 ◽  
Vol 30 (26) ◽  
pp. 1650186
Author(s):  
B. Yavidov ◽  
SH. Djumanov ◽  
T. Saparbaev ◽  
O. Ganiyev ◽  
S. Zholdassova ◽  
...  
Keyword(s):  
Ideal Gas ◽  
Einstein Condensation ◽  
Chain Model ◽  
One Dimensional ◽  
Electron Phonon Interaction ◽  
Model Lattice ◽  
Experimental Values ◽  
Bose Einstein ◽  
Derivatives Of ◽  
The Ideal

Having accepted a more generalized form for density-displacement type electron–phonon interaction (EPI) force we studied the simultaneous effect of uniaxial strains and EPI’s screening on the temperature of Bose–Einstein condensation [Formula: see text] of the ideal gas of intersite bipolarons. [Formula: see text] of the ideal gas of intersite bipolarons is calculated as a function of both strain and screening radius for a one-dimensional chain model of cuprates within the framework of Extended Holstein–Hubbard model. It is shown that the chain model lattice comprises the essential features of cuprates regarding of strain and screening effects on transition temperature [Formula: see text] of superconductivity. The obtained values of strain derivatives of [Formula: see text] [Formula: see text] are in qualitative agreement with the experimental values of [Formula: see text] [Formula: see text] of La[Formula: see text]Sr[Formula: see text]CuO4 under moderate screening regimes.

RENORMALIZATION OF POTENTIAL SCATTERING IN A ONE-DIMENSIONAL NON-LUTTINGER LIQUID: CONDUCTION AND X-RAY FERMI-EDGE SINGULARITY

1995 ◽  
Vol 09 (05) ◽  
pp. 249-269
Author(s):  
DONGXIAO YUE
Keyword(s):  
Luttinger Liquid ◽  
Scattered Wave ◽  
Zeeman Splitting ◽  
Electron System ◽  
Potential Scattering ◽  
Differential Conductance ◽  
One Dimensional ◽  
Edge Singularity ◽  
Fermi Edge ◽  
Fermi Edge Singularity

We review some of our recent results on the potential scattering in a weakly interacting one-dimensional(1D) electron gas. The technique we developed is a poor man's renormalization group procedure in the scattered wave basis. This technique can treat the renormalizations of the scattering on the barrier and the scattering between the electrons in a coherent way, and it allows us to find the scattering amplitudes on a localized potential of arbitrary strength for electrons at any energy. The obtained phase shifts are used to study the Fermi-edge singularity in an interacting 1D electron system, where anomalous exponent of the power-law singularity in the vicinity of the edge is found. The transmission coefficient is directly related to the conductance of a 1D channel by the Landauer formula. Simple formulas that describe the conductance at any temperature are derived. In spin-[Formula: see text] systems, the electron–electron backscattering induces renormalizations of the interaction constants, which causes the low-temperature conductance to deviate from the results of the Luttinger liquid theory. In particular, the temperature dependence of the conductance may become nonmonotonic. In the presence of a magnetic field, backscattering gives rise to a peak in the differential conductance at bias equal to the Zeeman splitting.

Application of the Landau-Luttinger Liquid Formulation to the Study of the Magnetic Properties of the 1-D Hubbard Model

1991 ◽  
Vol 05 (01n02) ◽  
pp. 3-30 ◽  
Author(s):  
J. Carmelo ◽  
P. Horsch ◽  
P.A. Bares ◽  
A.A. Ovchinnikov
Keyword(s):  
Magnetic Field ◽  
Magnetic Properties ◽  
Low Temperature ◽  
Hubbard Model ◽  
Luttinger Liquid ◽  
Liquid Formulation ◽  
One Dimensional ◽  
Spin Excitations ◽  
Arbitrary Strength ◽  
The One

The Landau-Luttinger liquid formulation is used to investigate the physics of the one-dimensional Hubbard model in a magnetic field of arbitrary strength H. The low lying charge and spin excitations are studied. A novel branch of sound wave-like spin excitations arises for H>0. The low temperature thermodynamics is considered in some detail.

scholarly journals Magnetic structure of the quasi-one-dimensional frustrated spin-1 antiferromagnet CaV2O4

2008 ◽  
Vol 64 (a1) ◽  
pp. C153-C153
Author(s):  
O. Pieper ◽  
B. Lake ◽  
M. Reehuis ◽  
A. Daoud-Aladine ◽  
A. Niazi ◽  
...  
Keyword(s):  
Magnetic Structure ◽  
One Dimensional ◽  
Frustrated Spin

scholarly journals A Short Review on One Dimensional Wigner Crystallization

2020 ◽  
Author(s):  
Niccolo Traverso Ziani ◽  
Fabio Cavaliere ◽  
Karina Guerrero Becerra ◽  
Maura Sassetti
Keyword(s):  
Carbon Nanotubes ◽  
Structural Transition ◽  
Luttinger Liquid ◽  
Electronic System ◽  
Short Review ◽  
One Dimensional ◽  
Basic Properties ◽  
Wigner Crystallization ◽  
Liquid Theory ◽  
The One

The simplest possible structural transition that an electronic system can undergo is Wigner crystallization. The aim of this short review is to discuss the main aspects of three recent experimets on the one dimensional Wigner molecule, starting from scratch. To achieve this task, the Luttinger liquid theory of weakly and strongly interacting fermions will be shortly addressed, together with the basic properties of carbon nanotubes that are require. Then, the most relevant properties of Wigner molecules will be addressed, and finally the experiments will be described.

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