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We study ground-state correlation functions in one- and two-dimensional lattice models of interacting spinful fermions - BCS-like models, which exhibit continuous quantum phase transitions. The considered models originate from a…

Statistical Mechanics · Physics 2015-02-23 Mariusz Adamski , Janusz Jędrzejewski , Taras Krokhmalskii

The interplay between interactions and quantum geometry can drive weakly dispersive bosons into different exotic many-body phases. In this work we study a quasi flat-band model in one dimension that exhibits an extended pair-superfluid…

Quantum Gases · Physics 2026-05-27 Maxime Burgher , Simon Loddo , Laurens Vanderstraeten , Nathan Goldman , Ivan Amelio

Over the last two decades, the competing orders in high-$T_{c}$ cuprates have been intensely studied, such as pseudogap phase, charge density waves (CDW), and pair density waves (PDW), which are thought to play a crucial role in…

Strongly Correlated Electrons · Physics 2025-11-24 Wayne Zheng , Zheng-Yuan Yue , Jian-Hao Zhang , Zheng-Cheng Gu

We report a theoretical analysis of variational wave functions for the BCS pairing problem. Starting with a Jastrow-Feenberg (or, in a more recent language "fixed-node") wave function for the superfluid state, we develop the full optimized…

Quantum Gases · Physics 2018-06-15 Hsuan-Hao Fan , E. Krotscheck

We investigate the ground-state properties of the two-dimensional Hubbard model, based on the off-diagonal wave function variational Monte Carlo method. We use an optimized wave function that is improved from an initial one-body wave…

Strongly Correlated Electrons · Physics 2025-07-08 Takashi Yanagisawa

The coexistence of multiple quasi-degenerate orders is the hallmark of the strongly correlated materials. Experiments often reveal several spatially modulated orders in the underdoped cuprates. This has come to the forefront with the…

Superconductivity · Physics 2022-04-25 Anurag Banerjee , Catherine Pépin , Amit Ghosal

It is well established that superconductivity is based on a coherent quantum state of Cooper pairs with charge 2e, and this is equally true of the Josephson effect. In contrast, Kadin recently presented an alternative real-space model of…

Superconductivity · Physics 2010-08-02 Alan M. Kadin

Emergence of odd-frequency s-wave superconductivity is demonstrated in the two-channel Kondo lattice by means of the dynamical mean-field theory combined with the continuous-time quantum Monte Carlo method. Around half filling of the…

Strongly Correlated Electrons · Physics 2014-05-02 Shintaro Hoshino , Yoshio Kuramoto

Motivated by a realization of imbalanced Feshbach-resonant atomic Fermi gases, we formulate a low-energy theory of the Fulde-Ferrell and the Larkin-Ovchinnikov (LO) states and use it to analyze fluctuations, stability, and phase transitions…

Quantum Gases · Physics 2013-05-29 Leo Radzihovsky

A composite pairing structure of superconducting state is revealed by density matrix renormalization group study in a two-leg $t$-$J$ model. The pairing order parameter is composed of a pairing amplitude and a phase factor, in which the…

Strongly Correlated Electrons · Physics 2024-03-15 Hao-Kai Zhang , Rong-Yang Sun , Zheng-Yu Weng

The paper is devoted to a study of superconducting properties of population-imbalanced fermionic mixtures in quasi-one dimensional optical lattices. The system can be effectively described by the attractive Hubbard model with the Zeeman…

Quantum Gases · Physics 2018-02-13 Andrzej Ptok , Agnieszka Cichy , Karen Rodríguez , Konrad Jerzy Kapcia

The influence of the Zeeman magnetic field ($h$) on the ground state evolution of superfluid properties from the weak coupling (BCS like) to the strong coupling limit of tightly bound local pairs (LP) with increasing attraction has been…

Strongly Correlated Electrons · Physics 2013-09-27 Agnieszka Kujawa-Cichy

We determine the mean-field ground state of the three-dimensional rotationally symmetric d-wave ($\ell=2$) superconductor at weak coupling. It is a non-inert state, invariant under the symmetry $C_{2}$ only, which breaks time reversal…

Superconductivity · Physics 2019-09-11 Igor F. Herbut , Igor Boettcher , Subrata Mandal

In this work we numerically investigate the fate of the Bardeen-Cooper-Schrieffer (BCS) pairing in the presence of quenched phase under Peierls substitution using time-dependent real space and momentum space Bogoliubov-de Gennes equation…

Quantum Gases · Physics 2019-02-06 Beibing Huang , Xiaosen Yang , Ning Xu , Jing Zhou , Ming Gong

The Hubbard and closely related $t\text-J$ models are exciting platforms for unconventional superconductivity (SC). Through state-of-the-art density matrix renormalization group calculations using the grand canonical ensemble, we address…

Superconductivity · Physics 2025-03-28 Feng Chen , F. D. M. Haldane , D. N. Sheng

We study the properties of a one-dimensional (1D) gas of fermions trapped in a lattice by means of the density matrix renormalization group method, focusing on the case of unequal spin populations, and strong attractive interaction. In the…

Strongly Correlated Electrons · Physics 2008-01-02 A. E. Feiguin , F. Heidrich-Meisner

We present a bosonic model, in which two bosons may form a bound pair with d-wave symmetry via the four-site ring exchange interaction. A d-wave pairing superfluid as well as a d-wave density wave (DDW) state, are proposed to be achievable…

Quantum Gases · Physics 2011-03-22 Zi Cai , Lei Wang , Jian Li , Shu Chen , X. C. Xie , Yupeng Wang

We analyze pairing of fermions in two dimensions for fully-gapped cases with broken parity (P) and time-reversal (T), especially cases in which the gap function is an orbital angular momentum ($l$) eigenstate, in particular $l=-1$ (p-wave,…

Mesoscale and Nanoscale Physics · Physics 2011-06-21 N. Read , Dmitry Green

The extended Hubbard model with a nearest-neighbor Coulomb repulsion on the square lattice is studied to obtain insight into the phase diagram of cuprate high $T_c$ superconductors (HTS). To pursue the hidden-order scenario proposed in [S.…

Superconductivity · Physics 2019-07-17 Yuhei Hirose , Akihide Oguchi , Yoshiyuki Fukumoto

Paired state of nonstandard quasiparticles is analyzed in detail in two model situations. Namely, we consider the Cooper-pair bound state and the condensed phase of an almost localized Fermi liquid (ALFL) composed of quasiparticles in a…

Strongly Correlated Electrons · Physics 2010-01-28 Jan Kaczmarczyk , Jozef Spalek
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