Superconducting glass state in the random infinite-range interaction extended Hubbard model

The phase diagram of the extended Hubbard model with on-site attraction and random inter-site Coulomb energies is studied for the half-filled band case. In the strong coupling limit the problem is mapped onto the system of hard-core bosons (bipolarons) on a lattice, described by the anisotropic pseudo-spin model with infinite-range random exchange interactions—in close analogy with the Sherrington-Kirkpatrick spin glass approach. It is found that the disorder and frustration strongly affects properties of the system leading to the appearance of the bipolaronic superconducting (BSC) phase, the bipolaronic superconducting glass (BSCG) state as well as the bipolaronic charge glass (BCG) phase, depending on the temperature range and the degree of the disorder.

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Existence of Gibbs point processes with stable infinite range interaction

Journal of Applied Probability ◽

10.1017/jpr.2020.39 ◽

2020 ◽

Vol 57 (3) ◽

pp. 775-791

Author(s):

David Dereudre ◽

Thibaut Vasseur

Keyword(s):

Point Processes ◽

Existence Results ◽

Pairwise Interaction ◽

Range Interaction ◽

Pairwise Interactions ◽

Gibbs Point Processes ◽

Infinite Range Interactions ◽

Finite Configuration ◽

Multi Body ◽

Infinite Range

AbstractWe provide a new proof of the existence of Gibbs point processes with infinite range interactions, based on the compactness of entropy levels. Our main existence theorem holds under two assumptions. The first one is the standard stability assumption, which means that the energy of any finite configuration is superlinear with respect to the number of points. The second assumption is the so-called intensity regularity, which controls the long range of the interaction via the intensity of the process. This assumption is new and introduced here since it is well adapted to the entropy approach. As a corollary of our main result we improve the existence results by Ruelle (1970) for pairwise interactions by relaxing the superstabilty assumption. Note that our setting is not reduced to pairwise interaction and can contain infinite-range multi-body counterparts.

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Stability ofs+id-Wave Pairing State in the 2-D Extended Hubbard Model

Journal of the Physical Society of Japan ◽

10.1143/jpsj.64.922 ◽

1995 ◽

Vol 64 (3) ◽

pp. 922-926 ◽

Cited By ~ 5

Author(s):

Hiroki Tsuchiura ◽

Yukio Tanaka ◽

Yasunari Ushijima

Keyword(s):

Hubbard Model ◽

Extended Hubbard Model ◽

Pairing State ◽

Wave Pairing

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Direct Scaling Analysis of Fermionic Multiparticle Correlated Anderson Models with Infinite-Range Interaction

Advances in Mathematical Physics ◽

10.1155/2016/2129682 ◽

2016 ◽

Vol 2016 ◽

pp. 1-17 ◽

Cited By ~ 3

Author(s):

Victor Chulaevsky

Keyword(s):

Dynamical Localization ◽

Scaling Analysis ◽

Range Interaction ◽

Direct Scaling ◽

Strongly Mixing ◽

Optimal Decay ◽

Decay Bounds ◽

Multiparticle Systems ◽

Infinite Range ◽

Anderson Models

We adapt the method of direct scaling analysis developed earlier for single-particle Anderson models, to the fermionic multiparticle models with finite or infinite interaction on graphs. Combined with a recent eigenvalue concentration bound for multiparticle systems, the new method leads to a simpler proof of the multiparticle dynamical localization with optimal decay bounds in a natural distance in the multiparticle configuration space, for a large class of strongly mixing random external potentials. Earlier results required the random potential to be IID.

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