scholarly journals Spectral density of interacting pairs in low-dimensional finite lattices

2021 ◽  
Vol 24 (1) ◽  
pp. 13302
Author(s):  
T. Chattaraj
Keyword(s):  
Spectral Density ◽  
Bound States ◽  
Green’S Functions ◽  
Real Space ◽  
Strong Interactions ◽  
Recursion Method ◽  
Finite Lattices ◽  
Bethe Lattices ◽  
Spectral Profiles ◽  
Low Dimensional

The spectral density of bound pairs in ideal 1D, 2D and Bethe lattices is computed for weak and strong interactions. The computations are performed with Green's functions by an efficient recursion method in real space. For the range of interaction strengths within which bound states are predominantly single pairs, the spectral profiles guide to the energy bandwidths where the bound pairs can be maximized.

scholarly journals The Charm and Beauty of Strong Interactions

2018 ◽  
Vol 172 ◽  
pp. 02005 ◽  
Author(s):  
Bruno El-Bennich
Keyword(s):  
Mass Spectrum ◽  
Strong Interaction ◽  
Bound States ◽  
Flavor Physics ◽  
Weak Decay ◽  
Strong Interactions ◽  
Interaction Models ◽  
Common Features ◽  
Decay Constants

We briefly review common features and overlapping issues in hadron and flavor physics focussing on continuum QCD approaches to heavy bound states, their mass spectrum and weak decay constants in different strong interaction models.

Application of New Recursion Method to Low Dimensional Organic Materials

1994 ◽  
pp. 393-396
Author(s):  
S. Obata ◽  
K. Masuda-Jindo
Keyword(s):  
Organic Materials ◽  
Recursion Method ◽  
Low Dimensional

scholarly journals Long-range focusing of magnetic bound states in superconducting lanthanum

2020 ◽  
Vol 11 (1) ◽  
Author(s):  
Howon Kim ◽  
Levente Rózsa ◽  
Dominik Schreyer ◽  
Eszter Simon ◽  
Roland Wiesendanger
Keyword(s):  
Long Range ◽  
Bound States ◽  
Theoretical Calculations ◽  
Surface States ◽  
Magnetic Interactions ◽  
Magnetic Impurities ◽  
Natural Choice ◽  
Temperature Scanning ◽  
Quantum Mechanical Systems ◽  
Low Dimensional

Abstract Quantum mechanical systems with long-range interactions between quasiparticles provide a promising platform for coherent quantum information technology. Superconductors are a natural choice for solid-state based quantum devices, while magnetic impurities inside superconductors give rise to quasiparticle excitations of broken Cooper pairs that provide characteristic information about the host superconductor. Here, we reveal that magnetic impurities embedded below a superconducting La(0001) surface interact via quasiparticles extending to very large distances, up to several tens of nanometers. Using low-temperature scanning probe techniques, we observe the corresponding anisotropic and giant oscillations in the LDOS. Theoretical calculations indicate that the quasi-two-dimensional surface states with their strongly anisotropic Fermi surface play a crucial role for the focusing and long-range extension of the magnetic bound states. The quasiparticle focusing mechanism should facilitate the design of versatile magnetic structures with tunable and directed magnetic interactions over large distances, thereby paving the way toward the design of low-dimensional magnet–superconductor hybrid systems exhibiting topologically non-trivial quantum states as possible elements of quantum computation schemes based on Majorana quasiparticles.

scholarly journals Disorder induced lifetime effects in binary disordered systems: A first principles formalism and an application to disordered graphene

2017 ◽  
Vol 31 (29) ◽  
pp. 1750218 ◽  
Author(s):  
Banasree Sadhukhan ◽  
Subhadeep Bandyopadhyay ◽  
Arabinda Nayak ◽  
Abhijit Mookerjee
Keyword(s):  
Green Function ◽  
First Principles ◽  
Disordered Systems ◽  
Random Distribution ◽  
Real Space ◽  
Recursion Method ◽  
Resonant States ◽  
Graphene Lattice ◽  
Lifetime Effects ◽  
Local Defects

In this work, the conducting properties of graphene lattice with a particular concentration of defect (5% and 10%) has been studied. The real space block recursion method introduced by Haydock et al. has been used in presence of the random distribution of defects in graphene. This Green function based method is found to be more powerful than the usual reciprocal based methods which need artificial periodicity. Different resonant states appear because of the presence of topological and local defects are studied within the framework of Green function.

scholarly journals QUASI TWO-DIMENSIONAL NUCLEON SUPERFLUIDITY UNDER LOCALIZATION WITH PION CONDENSATION

2012 ◽  
Vol 11 ◽  
pp. 133-138
Author(s):  
TATSUYUKI TAKATSUKA
Keyword(s):  
Tensor Force ◽  
Hadronic Matter ◽  
Strong Interactions ◽  
Two Dimensional ◽  
Pion Field ◽  
Nucleon Interaction ◽  
Pion Condensation ◽  
The One ◽  
Low Dimensional ◽  
Nucleon Superfluidity

The aim here is to show an example for localization and relevant low-dimensional superfluids in nuclear system. Due to a particular property of tensor force originating from the One-Pion-Exchange (OPE) between two nucleons, dense nuclear medium undergoes a layer confinement of the nucleons on one hand and also pion condensation (PC) for pion field mediating two-nucleon interaction on the other hand. The localization is characterized by a layered structure with a specific spin-isospin ordering. In that situation, the pairing problem has a two-dimensional (2D) character, i.e., low-dimensional superfluid realized in the hadronic matter with strong interactions. The pairing description suitable to the 2D nature is presented and possible realization of superfluidity in neutron stars is discussed, togeter with its effect on the cooling scenarios.

scholarly journals Real-space Green’s functions for warm dense matter

2021 ◽  
pp. 100940
Author(s):  
M. Laraia ◽  
C. Hansen ◽  
N.R. Shaffer ◽  
D. Saumon ◽  
D.P. Kilcrease ◽  
...  
Keyword(s):  
Green's Functions ◽  
Green’S Functions ◽  
Dense Matter ◽  
Real Space ◽  
Warm Dense Matter

scholarly journals Asymptotic behavior of impurity-induced bound states in low-dimensional topological superconductors

2016 ◽  
Vol 28 (48) ◽  
pp. 485701 ◽  
Author(s):  
V Kaladzhyan ◽  
C Bena ◽  
P Simon
Keyword(s):  
Asymptotic Behavior ◽  
Bound States ◽  
Topological Superconductors ◽  
Low Dimensional

Fermions in low-dimensional systems and the transition between bulk and surface properties

2008 ◽  
Vol 86 (4) ◽  
pp. 601-610
Author(s):  
R Dick
Keyword(s):  
Surface Properties ◽  
Green's Functions ◽  
Green’S Functions ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Low Dimensional

We discuss three formalisms for the description of Fermions in low-dimensional systems. Then we consider dimensionally hybrid Hamiltonians with mixed three-dimensional and two-dimensional kinetic terms. These Hamiltonians yield particular dimensionally hybrid Green’s functions with interesting prospects for the description of the transition between two-dimensional and three-dimensional behavior of particles in the presence of attractive interface potentials.PACS Nos.: 05.30.Fk, 71.10.Pm, 73.20.–r

scholarly journals FRACTIONALLY CHARGED EXCITATIONS ON FRUSTRATED LATTICES

2007 ◽  
Vol 21 (13n14) ◽  
pp. 2215-2231 ◽  
Author(s):  
E. RUNGE ◽  
F. POLLMANN ◽  
P. FULDE
Keyword(s):  
Bound States ◽  
Additional Parameter ◽  
Strongly Correlated ◽  
Spectral Functions ◽  
Quasi Particle ◽  
Geometrically Frustrated ◽  
Quantum Numbers ◽  
Finite Lattices ◽  
Strongly Correlated Fermions ◽  
Fine Tune

Systems of strongly correlated fermions on certain geometrically frustrated lattices at particular filling factors support excitations with fractional charges ±e/2. We calculate quantum mechanical ground states, low–lying excitations and spectral functions of finite lattices by means of numerical diagonalization. The ground state of the most thorough-fully studied case, the criss-crossed checkerboard lattice, is degenerate and shows long–range order. Static fractional charges are confined by a weak linear force, most probably leading to bound states of large spatial extent. Consequently, the quasi-particle weight is reduced, which reflects the internal dynamics of the fractionally charged excitations. By using an additional parameter, we fine–tune the system to a special point at which fractional charges are manifestly deconfined—the so–called Rokhsar–Kivelson point. For a deeper understanding of the low–energy physics of these models and for numerical advantages, several conserved quantum numbers are identified.

Sign in / Sign up

Export Citation Format

Share Document