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We present a new perspective on thermal and quantum phase transitions (QPT) in $(2+1)$-dimensional quantum chromodynamics based on symmetries, topology, and quantum dynamical structure of the baryon ground state in the large $N_c$ limit for…

High Energy Physics - Theory · Physics 2019-04-25 Laith H. Haddad

We describe the different regimes of finite temperature dynamics in the vicinity of a zero temperature superconductor to insulator quantum phase transition in two dimensions. New results are obtained for a low temperature phase-only…

Superconductivity · Physics 2007-05-23 Subir Sachdev , Oleg A. Starykh

A central tenet in the theory of quantum phase transitions (QPTs) is that a nonanalyticity in the ground-state energy in the thermodynamic limit implies a QPT. Here we report on a finding that challenges this assertion. As a case study we…

Statistical Mechanics · Physics 2020-08-20 Mariana Malard , David Brandao , Paulo Eduardo de Brito , Henrik Johannesson

The superconductor-insulator transition (SIT) is considered an excellent example of a quantum phase transition which is driven by quantum fluctuations at zero temperature. The quantum critical point is characterized by a diverging…

Recently superconductivity at the interface between the insulators LaAlO3 and SrTiO3 has been tuned with the electric field effect to an unprecedented range of transition temperatures. Here we perform a detailed finite size scaling analysis…

Superconductivity · Physics 2009-04-17 T. Schneider , A. D. Caviglia , S. Gariglio , N. Reyren , 2 , J. -M. Triscone

We study the nature of the zero-temperature phase transition between a d-wave superconductor and a Mott insulator in two dimensions. In this ``quantum confinement transition'', spin and charge are confined to form the electron in the Mott…

Strongly Correlated Electrons · Physics 2009-10-31 C. Lannert , Matthew P. A. Fisher , T. Senthil

The nature of the magnetic-field driven superconductor-to-insulator quantum-phase transition in two-dimensional systems at zero temperature has been under debate since the 1980s, and became even more controversial after the observation of a…

Near a quantum critical point (QCP) in a metal, strong Fermion-Fermion interactions mediated by soft collective bosons give rise to two competing phenomena: non-Fermi liquid behavior and superconductivity that deviates from conventional BCS…

Superconductivity · Physics 2025-12-24 Ahmed Elezaby , Artem Abanov

I begin with a proposed global phase diagram of the cuprate superconductors as a function of carrier concentration, magnetic field, and temperature, and highlight its connection to numerous recent experiments. The phase diagram is then used…

Strongly Correlated Electrons · Physics 2013-03-25 Subir Sachdev

We show that the nature of quantum phases around the superconductor-insulator transition (SIT) is controlled by charge-vortex topological interactions and does not depend on the details of material parameters and disorder. We find three…

Superconductivity · Physics 2018-10-17 M. Cristina Diamantini , Luca Gammaitoni , Carlo A. Trugenberger , Valerii M. Vinokur

We investigate superconductivity in a two-dimensional material described by a two-band heavy-fermion model, where hybridization between a dispersive band and a flat band introduces a quasi-flat dispersion to the otherwise localized…

Superconductivity · Physics 2025-07-25 A. A. Zyuzin , A. Yu. Zyuzin

In this paper, the sixth in series, we continue our analysis of the interplay between non-Fermi liquid and pairing in the effective low-energy model of fermions with singular dynamical interaction $V(\Omega_m) = {\bar…

Superconductivity · Physics 2021-11-03 Shang-Shun Zhang , Yi-Ming Wu , Artem Abanov , Andrey V. Chubukov

We report the observation of TEMPERATURE-INDUCED transitions between insulator, metal, and quantum-Hall behaviors for transport coefficients in the very dilute high mobility two-dimensional electron system in silicon. We consider the…

Condensed Matter · Physics 2007-05-23 S. V. Kravchenko , Whitney Mason , J. E. Furneaux , J. M. Caulfield , J. Singleton , V. M. Pudalov

We analyze stability of superfluid currents in a system of strongly interacting ultra-cold atoms in an optical lattice. We show that such a system undergoes a dynamic, irreversible phase transition at a critical phase gradient that depends…

Soft Condensed Matter · Physics 2007-05-23 E. Altman , A. Polkovnikov , E. Demler , B. Halperin , M. D. Lukin

We investigate the impact of quantum and thermal phase fluctuations on the suppression of superconducting order in two-dimensional systems. Within the two-dimensional quantum XY model in the phase representation, where on-site interaction…

We investigate models of electrons in the Sachdev-Ye-Kitaev class with random and all-to-all electron hopping, electron spin exchange, and Cooper-pair hopping. An attractive on-site interaction between electrons leads to superconductivity…

Superconductivity · Physics 2023-01-26 Chenyuan Li , Subir Sachdev , Darshan G. Joshi

One of the most remarkable results of quantum mechanics is the fact that many-body quantum systems may exhibit phase transitions even at zero temperature. Quantum fluctuations, deeply rooted in Heisenberg's uncertainty principle, and not…

The superconductor-to-insulator quantum phase transition in resistively shunted Josephson junctions is investigated by means of path-integral Monte Carlo simulations. This numerical technique allows us to directly access the (previously…

Superconductivity · Physics 2009-11-07 Carlos P. Herrero , Andrei D. Zaikin

We consider a two dimensional semiconductor with a local attraction among the carriers. We study the ground state of this system as a function of the semiconductor gap. We find a direct transition from a superconducting to an insulating…

Superconductivity · Physics 2009-10-31 P. Nozieres , F. Pistolesi

The superconductor to insulator transition in the presence of long-range Coulomb interactions is studied using Monte Carlo techniques. At integer filling the transition is second order. At half filling we find evidence of a first order…

Condensed Matter · Physics 2009-10-28 Erik Sorensen , Eric Roddick