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In this thesis, we perform a comprehensive renormalization group analysis of two- and three-dimensional Fermi systems at low and zero temperature. We examine systems with spontaneous symmetry-breaking and quantum critical behavior by…

强关联电子 · 物理学 2012-10-09 Philipp Strack

We extend the Hertz-Millis theory of quantum phase transitions in itinerant electron systems to phases with broken discrete symmetry. Using a set of coupled flow equations derived within the functional renormalization group framework, we…

强关联电子 · 物理学 2009-11-13 P. Jakubczyk , P. Strack , A. A. Katanin , W. Metzner

We revisit the two-dimensional quantum Ising model by computing renormalization group flows close to its quantum critical point. The low but finite temperature regime in the vicinity of the quantum critical point is squashed between two…

统计力学 · 物理学 2014-11-20 P. Strack , P. Jakubczyk

We derive renormalization group equations which allow us to treat order parameter fluctuations near quantum phase transitions in cases where an expansion in powers of the order parameter is not possible. As a prototypical application, we…

强关联电子 · 物理学 2013-05-29 P. Jakubczyk , W. Metzner , H. Yamase

We analyze the quantum phase transition between a semimetal and a superfluid in a model of attractively interacting fermions with a linear dispersion. The quantum critical properties of this model cannot be treated by the Hertz-Millis…

强关联电子 · 物理学 2011-06-06 P. Strack , S. Takei , W. Metzner

We investigate the thermodynamic geometry of the quark-meson model at finite temperature, $T$, and quark number chemical potential, $\mu$. We extend previous works by the inclusion of fluctuations exploiting the functional renormalization…

高能物理 - 唯象学 · 物理学 2023-12-04 Fabrizio Murgana , Vincenzo Greco , Marco Ruggieri , Dario Zappalà

We reveal the critical properties of the phase transition towards superfluid order that has been proposed to occur in large spin fermionic systems. For this purpose, we consider the bosonic field theory for fluctuations of the complex…

统计力学 · 物理学 2023-05-03 Michal Hnatič , Georgii Kalagov

We investigate phase transitions in scalar field theories using the functional renormalization group (RG) equation. We analyze a system with $U(2)\times U(2)$ symmetry, in which there is a parameter $\lambda_2$ that controls the strength of…

高能物理 - 唯象学 · 物理学 2023-03-27 Kenji Fukushima , Kazuhiko Kamikado , Bertram Klein

Using the renormalization group method, new type of fluctuation-driven first order phase transitions and critical phenomena are predicted for certain classes of ferromagnetic superconductors and superfluids with unconventional…

超导电性 · 物理学 2008-08-08 Dimo I. Uzunov

We perform a detailed analysis of the phase transition between the uniform superfluid and normal phases in spin- and mass-imbalanced Fermi mixtures. At mean-field level we demonstrate that at temperature $T\to 0$ the gradient term in the…

量子气体 · 物理学 2020-09-30 Piotr Zdybel , Pawel Jakubczyk

We study the effect of thermal fluctuations on the wetting phase transitions of infinite order and of continuously varying order, recently discovered within a mean-field density-functional model for three-phase equilibria in systems with…

统计力学 · 物理学 2013-08-21 J. O. Indekeu , K. Koga , H. Hooyberghs , A. O. Parry

We investigate the quantum phase transition of itinerant ferromagnets. It is shown that correlation effects in the underlying itinerant electron system lead to singularities in the order parameter field theory that result in an effective…

统计力学 · 物理学 2017-09-27 Thomas Vojta , D. Belitz , T. R. Kirkpatrick , R. Narayanan

Zero-temperature or quantum phase transitions in itinerant electronic systems both with and without quenched disordered are discussed. Phase transitions considered include, the ferromagnetic transition, the antiferromagnetic transition, the…

统计力学 · 物理学 2008-02-03 T. R. Kirkpatrick , D. Belitz

The quantum phase transition in clean itinerant ferromagnets is analyzed. It is shown that soft particle-hole modes invalidate Hertz's mean-field theory for $d \leq 3$. A renormalized mean-field theory predicts a fluctuation-induced first…

统计力学 · 物理学 2009-11-07 D. Belitz , T. R. Kirkpatrick

A comprehensive theory of the quantum phase transition in clean, itinerant Heisenberg ferromagnets is presented. It is shown that the standard mean-field description of the transition is invalid in spatial dimensions $d\leq 3$ due to the…

统计力学 · 物理学 2009-11-07 T. R. Kirkpatrick , D. Belitz

Discontinuous quantum phase transitions besides their general interest are clearly relevant to the study of heavy fermions and magnetic transition metal compounds. Recent results show that in many systems belonging to these classes of…

强关联电子 · 物理学 2007-05-23 Andre S. Ferreira , Mucio A. Continentino

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…

The orientational ordering transition is investigated in the quantum generalization of the anisotropic-planar-rotor model in the low temperature regime. The phase diagram of the model is first analyzed within the mean-field approximation.…

凝聚态物理 · 物理学 2009-10-28 R. Martonak , D. Marx , P. Nielaba

The temperature dependance of the action in the thin-wall and thick-wall limits is obtained analytically for the $\phi^6$ scalar potential. The nature of the phase transition is investigated from the quantum tunnelling regime at low…

高能物理 - 理论 · 物理学 2009-11-13 Hatem Widyan

Engineering long-range interactions in experimental platforms has been achieved with great success in a large variety of quantum systems in recent years. Inspired by this progress, we propose a generalization of the classical Hamiltonian…

统计力学 · 物理学 2022-09-15 Harald Schmid , Johannes Dieplinger , Andrea Solfanelli , Sauro Succi , Stefano Ruffo
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