scholarly journals One-particle spectral densities and phase diagrams of one-dimensional proton conductors

2021 ◽  
Vol 24 (2) ◽  
pp. 23704
Author(s):  
R. Ya. Stetsiv
Keyword(s):  
Hydrogen Bonds ◽  
Phase Diagrams ◽  
Short Range ◽  
Hard Core ◽  
Proton Conductors ◽  
Dimensional System ◽  
One Dimensional ◽  
Anharmonic Potential ◽  
Diagonalization Method ◽  
Exact Diagonalization Method

The equilibrium states of one-dimensional proton conductors in the systems with hydrogen bonds are investigated. Our extended hard-core boson lattice model includes short-range interactions between hydrogen ions, their transfer along the hydrogen bonds with two-minima local anharmonic potential, as well as their inter-bond hopping, and the modulating field is taken into account. The exact diagonalization method for finite one-dimensional system with periodic boundary conditions is used. The existence of various phases of the system at T = 0, depending on the values of short-range interactions between particles and the modulating field strength, is established by analyzing the character of the obtained frequency dependence of one-particle spectral density; the phase diagrams are built.

scholarly journals Ground-state properties of a one-dimensional system of hard-core bosons in a harmonic trap

2001 ◽  
Vol 63 (3) ◽  
Author(s):  
M. D. Girardeau ◽  
E. M. Wright ◽  
J. M. Triscari
Keyword(s):  
Ground State ◽  
Hard Core ◽  
Harmonic Trap ◽  
Dimensional System ◽  
One Dimensional ◽  
Ground State Properties

scholarly journals Aspects of the kinetic equations for a special one-dimensional system

1979 ◽  
Vol 21 (2) ◽  
pp. 145-175
Author(s):  
J. W. Evans
Keyword(s):  
Initial Conditions ◽  
Asymptotic Properties ◽  
Kinetic Equations ◽  
Continuous Distribution ◽  
Hard Core ◽  
Delta Function ◽  
Distribution Functions ◽  
Periodic Case ◽  
Dimensional System ◽  
One Dimensional

AbstractSome initial value problems are considered which arise in the treatment of a one-dimensional gas of point particles interacting with a “hard-core” potential.Two basic types of initial conditions are considered. For the first, one particle is specified to be at the origin with a given velocity. The positions in phase space of the remaining background of particles are represented by continuous distribution functions. The second problem is a periodic analogue of the first.Exact equations for the delta-function part of the single particle distribution functions are derived for the non-periodic case and approximate equations for the periodic case. These take the form of differential operator equations. The spectral and asymptotic properties of the operators associated with the two cases are examined and compared. The behaviour of the solutions is also considered.

One-dimensional system with short-range attraction in the case of one electron per atom

Physica B+C ◽  
1976 ◽  
Vol 84 (2) ◽  
pp. 243-248 ◽  
Author(s):  
G.E. Gurgenishvili ◽  
A.A. Nersesyan ◽  
G.A. Kharadze ◽  
L.A. Chobanyan
Keyword(s):  
Short Range ◽  
Dimensional System ◽  
One Dimensional

Ground state properties of an anisotropic bilinear-biquadratic model

2014 ◽  
Vol 28 (20) ◽  
pp. 1450163
Author(s):  
Jinlong Wang
Keyword(s):  
Critical Point ◽  
Ground State ◽  
Exact Diagonalization ◽  
Spin Model ◽  
Total Spin ◽  
Anisotropic Parameter ◽  
One Dimensional ◽  
Anisotropic Properties ◽  
Diagonalization Method ◽  
Exact Diagonalization Method

In this paper, we consider anisotropic properties of a one-dimensional bilinear-biquadratic spin model with S = 1. The Hamiltonian with anisotropic parameter is studied numerically by using Lanczos exact diagonalization method at a critical point. It is found that the momentum corresponding to the ground state is affected by anisotropic parameter regularly, especially when total spin z-component is not zero.

EFFECT OF INTERACTION IN ONE-DIMENSIONAL TOPOLOGICAL INSULATOR

2013 ◽  
Vol 27 (07) ◽  
pp. 1361001
Author(s):  
HUAIMING GUO ◽  
SHUN-QING SHEN
Keyword(s):  
Topological Insulator ◽  
Cold Atoms ◽  
Berry Phase ◽  
Repulsive Interaction ◽  
Edge States ◽  
One Dimensional ◽  
Diagonalization Method ◽  
Half Filling ◽  
The One ◽  
Exact Diagonalization Method

The one-dimensional interacting topological insulator is studied by means of exact diagonalization method. The topological properties are examined with the existence of the edge states and the quantized berry phase at half-filling. It is found that the topological phases are not only robust to small repulsive interactions but also are stabilized by small attractive interactions and also finite repulsive interaction can drive a topological nontrivial phase into a trivial one while the attractive interaction can drive a trivial phase into a nontrivial one. These results could be realized experimentally using cold atoms trapped in the 1D optical lattice.

Stabilization of Dominant Structures in an Ionic Reaction-Diffusion System

1998 ◽  
Vol 63 (6) ◽  
pp. 761-769 ◽  
Author(s):  
Roland Krämer ◽  
Arno F. Münster
Keyword(s):  
Reaction Diffusion ◽  
Dominant Mode ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Local Perturbation ◽  
Dimensional System ◽  
One Dimensional ◽  
Brusselator Model ◽  
The One ◽  
Dominant Structure

We describe a method of stabilizing the dominant structure in a chaotic reaction-diffusion system, where the underlying nonlinear dynamics needs not to be known. The dominant mode is identified by the Karhunen-Loeve decomposition, also known as orthogonal decomposition. Using a ionic version of the Brusselator model in a spatially one-dimensional system, our control strategy is based on perturbations derived from the amplitude function of the dominant spatial mode. The perturbation is used in two different ways: A global perturbation is realized by forcing an electric current through the one-dimensional system, whereas the local perturbation is performed by modulating concentrations of the autocatalyst at the boundaries. Only the global method enhances the contribution of the dominant mode to the total fluctuation energy. On the other hand, the local method leads to simple bulk oscillation of the entire system.

scholarly journals Long-lived nonthermal states in pumped one-dimensional systems of hard-core bosons

2021 ◽  
Vol 103 (18) ◽  
Author(s):  
Patrycja Łydżba ◽  
Janez Bonča
Keyword(s):  
Hard Core ◽  
One Dimensional

scholarly journals Topological phase transition between a normal insulator and a topological metal state in a quasi-one-dimensional system

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Milad Jangjan ◽  
Mir Vahid Hosseini
Keyword(s):  
Phase Transition ◽  
Dimensional System ◽  
Inversion Symmetry ◽  
Topological Phase ◽  
Edge States ◽  
Zero Energy ◽  
One Dimensional ◽  
Topological Phase Transition ◽  
Metal State ◽  
Topological Metal

AbstractWe theoretically report the finding of a new kind of topological phase transition between a normal insulator and a topological metal state where the closing-reopening of bandgap is accompanied by passing the Fermi level through an additional band. The resulting nontrivial topological metal phase is characterized by stable zero-energy localized edge states that exist within the full gapless bulk states. Such states living on a quasi-one-dimensional system with three sublattices per unit cell are protected by hidden inversion symmetry. While other required symmetries such as chiral, particle-hole, or full inversion symmetry are absent in the system.

scholarly journals AdS2 × S2 × CY2 solutions in Type IIB with 8 supersymmetries

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Yolanda Lozano ◽  
Carlos Nunez ◽  
Anayeli Ramirez
Keyword(s):  
Quantum Mechanics ◽  
Riemann Surface ◽  
Central Charge ◽  
Global Solutions ◽  
Infinite Family ◽  
Dimensional System ◽  
One Dimensional

Abstract We present a new infinite family of Type IIB supergravity solutions preserving eight supercharges. The structure of the space is AdS2 × S2 × CY2 × S1 fibered over an interval. These solutions can be related through double analytical continuations with those recently constructed in [1]. Both types of solutions are however dual to very different superconformal quantum mechanics. We show that our solutions fit locally in the class of AdS2 × S2 × CY2 solutions fibered over a 2d Riemann surface Σ constructed by Chiodaroli, Gutperle and Krym, in the absence of D3 and D7 brane sources. We compare our solutions to the global solutions constructed by Chiodaroli, D’Hoker and Gutperle for Σ an annulus. We also construct a cohomogeneity-two family of solutions using non-Abelian T-duality. Finally, we relate the holographic central charge of our one dimensional system to a combination of electric and magnetic fluxes. We propose an extremisation principle for the central charge from a functional constructed out of the RR fluxes.

scholarly journals Topological correlators and surface defects from equivariant cohomology

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Rodolfo Panerai ◽  
Antonio Pittelli ◽  
Konstantina Polydorou
Keyword(s):  
Quantum Mechanics ◽  
Equivariant Cohomology ◽  
Surface Defects ◽  
Star Product ◽  
Three Dimensional ◽  
Three Dimensions ◽  
Dimensional System ◽  
The Novel ◽  
One Dimensional ◽  
Dual Quantum

Abstract We find a one-dimensional protected subsector of $$ \mathcal{N} $$ N = 4 matter theories on a general class of three-dimensional manifolds. By means of equivariant localization we identify a dual quantum mechanics computing BPS correlators of the original model in three dimensions. Specifically, applying the Atiyah-Bott-Berline-Vergne formula to the original action demonstrates that this localizes on a one-dimensional action with support on the fixed-point submanifold of suitable isometries. We first show that our approach reproduces previous results obtained on S3. Then, we apply it to the novel case of S2× S1 and show that the theory localizes on two noninteracting quantum mechanics with disjoint support. We prove that the BPS operators of such models are naturally associated with a noncom- mutative star product, while their correlation functions are essentially topological. Finally, we couple the three-dimensional theory to general $$ \mathcal{N} $$ N = (2, 2) surface defects and extend the localization computation to capture the full partition function and BPS correlators of the mixed-dimensional system.

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