A Possible Mechanism of Superconductivity Based on Wigner Crystal and BEC

1999 ◽  
Vol 13 (29n31) ◽  
pp. 3499-3504 ◽  
Author(s):  
JiXin Dai ◽  
Wen Tao ◽  
Peiherng Hor ◽  
Dai XianXi
Keyword(s):  
Ground State ◽  
Wigner Crystal ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Mechanism Of Superconductivity ◽  
Bose Einstein

A new possible mechanism is suggested based on the Wigner crystal and Bose–Einstein condensation. Our previous studies on the singular states that Loudon's singular ground state is rejected by the orthogonality criteria. It is shown that 2D Wigner crystal can exist and to be a possible mechanism for HTS.

Possible Bose-Einstein Condensation of Polygonal Clusters in 2D-Materials

2019 ◽  
Vol 297 ◽  
pp. 204-208
Author(s):  
Abid Boudiar
Keyword(s):  
Free Energy ◽  
Critical Temperature ◽  
Ground State ◽  
Low Temperatures ◽  
2D Materials ◽  
Equilibrium Structure ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Exchange Approximation ◽  
Bose Einstein

This study investigates the possibility of Bose-Einstein condensation (BEC) in 2D-nanoclusters. A ground state equilibrium structure involves the single phonon exchange approximation. At critical temperature, the specific heat, entropy, and free energy of the system can be determined. The results support the existence of BEC in nanoclusters, and they lead to predictions of the behaviour of 2Dmaterials at low temperatures.

Cooper Pairing and Ladder Correlations in a BCS Ground State

2003 ◽  
Vol 17 (18n20) ◽  
pp. 3304-3309
Author(s):  
V. C. Aguilera-Navarro ◽  
M. Fortes ◽  
M. de Llano
Keyword(s):  
Ground State ◽  
Center Of Mass ◽  
Two Dimensions ◽  
Einstein Condensation ◽  
Positive Energy ◽  
Cooper Pairs ◽  
Linear Dispersion ◽  
Bose Einstein Condensation ◽  
Leading Term ◽  
Bose Einstein

A Bethe–Salpeter treatment of Cooper pairs (CPs) based on an ideal Fermi gas (IFG) "sea" produces unstable CPs if holes are not ignored. Stable CPs with damping emerge when the BCS ground state replaces the IFG, and are positive-energy, finite-lifetime resonances for nonzero center-of-mass momentum with a linear dispersion leading term. Bose–Einstein condensation of such pairs may thus occur in exactly two dimensions as it cannot with quadratic dispersion.

Bose-Einstein Condensation in a Dilute Gas: Measurement of Energy and Ground-State Occupation

1996 ◽  
Vol 77 (25) ◽  
pp. 4984-4987 ◽  
Author(s):  
J. R. Ensher ◽  
D. S. Jin ◽  
M. R. Matthews ◽  
C. E. Wieman ◽  
E. A. Cornell
Keyword(s):  
Ground State ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Dilute Gas ◽  
Gas Measurement ◽  
Bose Einstein

scholarly journals Magnon Bose–Einstein condensation and superconductivity in a frustrated Kondo lattice

2020 ◽  
Vol 117 (34) ◽  
pp. 20462-20467
Author(s):  
Pavel A. Volkov ◽  
Snir Gazit ◽  
Jedediah H. Pixley
Keyword(s):  
Ground State ◽  
Valence Bond ◽  
Universality Class ◽  
Kondo Lattice ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Solid Ground ◽  
Density Matrix Renormalization ◽  
Bose Einstein ◽  
Valence Bond Solid

Motivated by recent experiments on magnetically frustrated heavy fermion metals, we theoretically study the phase diagram of the Kondo lattice model with a nonmagnetic valence bond solid ground state on a ladder. A similar physical setting may be naturally occurring inYbAl3C3,CeAgBi2, andTmB4compounds. In the insulating limit, the application of a magnetic field drives a quantum phase transition to an easy-plane antiferromagnet, which is described by a Bose–Einstein condensation of magnons. Using a combination of field theoretical techniques and density matrix renormalization group calculations we demonstrate that in one dimension this transition is stable in the presence of a metallic Fermi sea, and its universality class in the local magnetic response is unaffected by the itinerant gapless fermions. Moreover, we find that fluctuations about the valence bond solid ground state can mediate an attractive interaction that drives unconventional superconducting correlations. We discuss the extensions of our findings to higher dimensions and argue that depending on the filling of conduction electrons, the magnon Bose–Einstein condensation transition can remain stable in a metal also in dimensions two and three.

scholarly journals BOSE–EINSTEIN CONDENSATION ON INHOMOGENEOUS AMENABLE GRAPHS

2011 ◽  
Vol 14 (02) ◽  
pp. 149-197 ◽  
Author(s):  
FRANCESCO FIDALEO ◽  
DANIELE GUIDO ◽  
TOMMASO ISOLA
Keyword(s):  
Configuration Space ◽  
Ground State ◽  
Josephson Junctions ◽  
Volume Growth ◽  
Topological Model ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Bose Einstein ◽  
Probabilistic Nature

We investigate the Bose–Einstein condensation on nonhomogeneous amenable networks for the model describing arrays of Josephson junctions. The resulting topological model, whose Hamiltonian is the pure hopping one given by the opposite of the adjacency operator, also has a mathematical interest in itself. We show that for the nonhomogeneous networks like the comb graphs, particles condensate in momentum and configuration space as well. In this case different properties of the network, of geometric and probabilistic nature, such as the volume growth, the shape of the ground state, and the transience, all play a role in the condensation phenomena. The situation is quite different for homogeneous networks where just one of these parameters, e.g., the volume growth, is enough to determine the appearance of the condensation.

BOSE–EINSTEIN CONDENSATION AND EXCITATIONS IN SOLID 4He WITH VACANCIES

2003 ◽  
Vol 17 (28) ◽  
pp. 5243-5253
Author(s):  
D. E. GALLI ◽  
L. REATTO
Keyword(s):  
Wave Function ◽  
Ground State ◽  
Perfect Crystal ◽  
Function Technique ◽  
Einstein Condensation ◽  
Solid 4He ◽  
Bose Einstein Condensation ◽  
Finite Concentration ◽  
Bose Einstein ◽  
First Time

We have studied the ground state and excited state properties of solid 4 He on the basis of the variational shadow wave function technique (SWF), which allows for relaxation and delocalisation of vacancies. We have found that a finite concentration of vacancies, if present, induces Bose-Einstein condensation (BEC) of the atoms at density close to the T=0 K melting where vacancies are delocalised. No BEC is present in a perfect crystal or in a defected solid at higher densities. We have extended this technique to study longitudinal phonons in solid 4 He and to study the vacancy excitation at a finite momentum; we have been able to compute for the first time the vacancy excitation spectrum in solid 4 He at density close to melting. Our results give a band width of about 8 K.

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