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We study a model in 1+2 dimensions composed of a spherical Fermi surface of $N_f$ flavors of fermions coupled to a massless scalar. We present a framework to non-perturbatively calculate general fermion $n$-point functions of this theory in…

Strongly Correlated Electrons · Physics 2018-04-20 Petter Säterskog

Strange metals represent a foundational problem in quantum condensed matter physics, and heavy fermion systems provide a canonical setting to advance a general understanding. The concept of a Kondo destruction quantum critical point is…

Strongly Correlated Electrons · Physics 2026-01-06 Yiming Wang , Shouvik Sur , Chia-Chuan Liu , Qimiao Si

Whether a quantum critical point (QCP) lies beneath the superconducting dome has been a long-standing issue that remains unresolved in many classes of unconventional superconductors, notably cuprates, heavy fermion compounds and most…

Superconductivity · Physics 2014-03-12 T. Shibauchi , A. Carrington , Y. Matsuda

Transport measurements on the cuprates suggest the presence of a quantum critical point hiding underneath the superconducting dome near optimal hole doping. We provide numerical evidence in support of this scenario via a dynamical cluster…

Strongly Correlated Electrons · Physics 2015-05-19 D. Galanakis , E. Khatami , K. Mikelsons , A. Macridin , J. Moreno , D. A. Browne , M. Jarrell

Interacting electrons can form metallic states beyond the Fermi liquid paradigm, a conceptual frontier of many-body physics mainly explored via bulk thermodynamics and transport. In contrast, the microscopics of anomalous single-particle…

When a metal is subjected to strong magnetic field B nearly all measurable quantities exhibit oscillations periodic in 1/B. Such quantum oscillations represent a canonical probe of the defining aspect of a metal, its Fermi surface (FS). In…

Superconductivity · Physics 2010-01-05 T. Pereg-Barnea , H. Weber , G. Refael , M. Franz

We generalize the scaling theory of heavy fermions for the case the shift exponent describing the critical Neel line is different from the crossover exponent characterizing the coherence line. We obtain the properties of the non-Fermi…

Condensed Matter · Physics 2009-10-28 Mucio A. Continentino

The zero-temperature limit of a continuous phase transition is marked by a quantum critical point, which can generate exotic physics that extends to elevated temperatures. Magnetic quantum criticality is now well known, and has been…

Materials Science · Physics 2019-02-21 Awadhesh Narayan , Andres Cano , Alexander V. Balatsky , Nicola A. Spaldin

We examine the problem of finite Fermi systems having a degenerate single-particle spectrum and show that the Landau approach, applied to such a system, admits the possibility of merging single-particle levels. It is demonstrated that the…

Strongly Correlated Electrons · Physics 2009-11-13 V. A. Khodel , J. W. Clark , Haochen Li , M. V. Zverev

We report the results of a microscopic theory, based on the topological concept of a $\theta$ vacuum, which show that the Coulomb potential, unlike any finite ranged interaction potential, renders the longstanding problem of the plateau…

Mesoscale and Nanoscale Physics · Physics 2008-02-11 A. M. M. Pruisken , I. S. Burmistrov

We elaborate on several observable consequences of the Quantum-Critical-Point scenario. In particular we show that the strong k-dependent scattering of the quasiparticles with the quasi-critical charge and spin fluctuations reproduces the…

Superconductivity · Physics 2009-10-31 C. Di Castro , L. Benfatto , S. Caprara , C. Castellani , M. Grilli

Landau suggested that the low-temperature properties of metals can be understood in terms of long-lived quasiparticles with all complex interactions included in Fermi-liquid parameters, such as the effective mass $m^{\star}$. Despite its…

We demonstrate that nearly critical quantum magnetic fluctuations in strongly correlated electron systems can change the Fermi surface topology and also lead to spin charge separation (SCS) in two dimensions. To demonstrate these effects we…

Superconductivity · Physics 2012-07-23 Michael Holt , Jaan Oitmaa , Wei Chen , Oleg P. Sushkov

We compute parameters characterizing many-body quantum chaos for a critical Fermi surface without quasiparticle excitations. We examine a theory of $N$ species of fermions at non-zero density coupled to a $U(1)$ gauge field in two spatial…

Strongly Correlated Electrons · Physics 2017-03-14 Aavishkar A. Patel , Subir Sachdev

We study theoretically the zero temperature phase transition in two dimensions from a Fermi liquid to a paramagnetic Mott insulator with a spinon Fermi surface. We show that the approach to the bandwidth controlled Mott transition from the…

Strongly Correlated Electrons · Physics 2009-11-13 T. Senthil

In a normal Fermi liquid, Landau's theory precludes the loss of single fermion, quantum coherence in the low energy/temperature limit. For highly anisotropic, strongly correlated metals there is no proof that this remains the case: we…

Condensed Matter · Physics 2007-05-23 David Clarke , Steven Strong , Paul Chaikin , Ekaterina Chashechkina

The universality of the strange metal phase in many quantum materials is often attributed to the presence of a quantum critical point (QCP), a zero-temperature phase transition ruled by quantum fluctuations. In cuprates, where…

Recently, in high-T_c superconductors (HTSC), exciting measurements have been performed revealing their physics in superconducting and pseudogap states and in normal one induced by the application of magnetic field, when the transition from…

Superconductivity · Physics 2009-02-17 V. R. Shaginyan , M. Ya. Amusia , K. G. Popov , V. A. Stephanovich

The angle-resolved photoemission spectroscopy studies on cuprates in the pseudogap region reveal an extraordinary topological transition in which the ground state changes from one with a normal Fermi surface to one with four Fermi points.…

Superconductivity · Physics 2009-11-11 C. M. Varma , Lijun Zhu

A topological crossover, associated with the collapse of the Fermi surface in strongly correlated Fermi systems, is examined. It is demonstrated that in these systems, the temperature domain where standard Fermi liquid results hold…

Strongly Correlated Electrons · Physics 2011-09-06 V. A. Khodel