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We examine the low-energy excitations in the vicinity of the quantum critical point in LiHoF$_4$, a physical realization of the Transverse Field Ising Model, focusing on the long-range fluctuations which soften to zero energy at the…

Strongly Correlated Electrons · Physics 2024-10-25 P. C. E. Stamp , D. M. Silevitch , M. Libersky , Ryan McKenzie , A. A. Geim , T. F. Rosenbaum

A coherent superposition of many nuclear spin states can be prepared and manipulated via the hyperfine interaction with the electronic spins by varying the Landau level filling factor through the gate voltage in appropriately designed…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. Maniv , Yu. A. Bychkov , I. D. Vagner

The quantum phase transitions of metals have been extensively studied in the rare-earth "heavy electron" materials, the cuprates, and related compounds. The Fermi surface of the metal often has different shapes in the states well away from…

Strongly Correlated Electrons · Physics 2007-05-23 Ribhu K. Kaul , Alexei Kolezhuk , Michael Levin , Subir Sachdev , T. Senthil

We show that anisotropic quantum corrections can dynamically give rise to curved momentum-spacetimes for quasiparticles in metals. In the (2+1)-dimensional antiferromagnetic quantum critical metal, a curved momentum-spacetime arises as the…

Strongly Correlated Electrons · Physics 2024-01-01 Francisco Borges , Sung-Sik Lee

We present a study of the critical phenomena around the quantum critical point in heavy-fermion systems. In the framework of the S=1/2 Kondo lattice model, we introduce an extended decoupling scheme of the Kondo interaction which allows one…

Strongly Correlated Electrons · Physics 2009-10-31 M. Lavagna , C. Pépin

The Stoner criterion for ferromagnetism arises from interaction-driven asymmetric filling of spin bands, requiring that the spin susceptibility: (i) peaks dominantly at $\mathbf{Q}=\bm{0}$; and (ii) diverges at a critical interaction…

Strongly Correlated Electrons · Physics 2025-10-02 Chen Lu , Chao Cao , Huiqiu Yuan , Piers Coleman , Lun-Hui Hu

Exotic physics often emerges around quantum criticality in metallic systems. Here we explore the nature of topological phase transitions between 3D double-Weyl semimetals and insulators (through annihilating double-Weyl nodes with opposite…

Strongly Correlated Electrons · Physics 2021-04-28 Shi-Xin Zhang , Shao-Kai Jian , Hong Yao

Cubic CeZn shows a structural phase transition under pressure, and it modifies the ground state from an antiferromagnetic (AFM) state to a ferromagnetic (FM) state. To investigate how the FM state terminates at a quantum phase transition,…

Strongly Correlated Electrons · Physics 2022-11-28 Hisashi Kotegawa , Toshiaki Uga , Hideki Tou , Eiichi Matsuoka , Hitoshi Sugawara

The competition between spin glass ($SG$) and antiferromagnetic order ($AF$) is analyzed in two sublattice fermionic Ising models in the presence of a transverse $\Gamma$ and a parallel $H$ magnetic fields. The exchange interaction follows…

Strongly Correlated Electrons · Physics 2015-06-25 F. M. Zimmer , S. G. Magalhaes

Strange metals develop near quantum critical points in a variety of strongly correlated systems. Some of the issues that are central to the field include how the quantum-critical state loses quasiparticles, how it drives superconductivity,…

Strongly Correlated Electrons · Physics 2025-03-13 Haoyu Hu , Lei Chen , Qimiao Si

This review summarizes recent developments in the study of fermionic quantum criticality, focusing on new progress in numerical methodologies, especially quantum Monte Carlo methods, and insights that emerged from recently large-scale…

Strongly Correlated Electrons · Physics 2019-09-10 Xiao Yan Xu , Zi Hong Liu , Gaopei Pan , Yang Qi , Kai Sun , Zi Yang Meng

We investigate the phase diagram of S=1 quantum spin systems with SU(2)-invariant interactions, at low temperatures and in three spatial dimensions. Symmetry breaking and the nature of pure states can be studied using random loop…

Statistical Mechanics · Physics 2015-04-24 Daniel Ueltschi

The quantum ferromagnetic transition at zero temperature in disordered itinerant electron systems is considered. Nonmagnetic quenched disorder leads to diffusive electron dynamics that induces an effective long-range interaction between the…

Statistical Mechanics · Physics 2009-10-28 T. R. Kirkpatrick , D. Belitz

In the framework of a Fermi liquid theory it is considered the possibility of ferromagnetic and antiferromagnetic phase transitions in symmetric nuclear matter with Skyrme effective interaction. The zero temperature dependence of…

Nuclear Theory · Physics 2009-11-10 A. A. Isayev

Quantum criticality of metal-insulator transitions in correlated electron systems is shownto belong to an unconventional universality class with violation of Ginzburg-Landau-Wilson(GLW) scheme formulated for symmetry breaking transitions.…

Strongly Correlated Electrons · Physics 2010-10-20 Takahiro Misawa , Masatoshi Imada

The Kondo-lattice model, which couples a lattice of localized magnetic moments to conduction electrons, is often used to describe heavy-fermion systems. Because of the interplay between Kondo physics and magnetic order it displays very…

Strongly Correlated Electrons · Physics 2017-08-24 T. R. Kirkpatrick , D. Belitz

Quantum criticality beyond the Landau paradigm represents a fundamental problem in condensed matter and statistical physics. Heavy fermion systems with multipolar degrees of freedom can play an important role in the search for its universal…

Strongly Correlated Electrons · Physics 2018-07-25 Hsin-Hua Lai , Emilian M. Nica , Wen-Jun Hu , Shou-Shu Gong , Silke Paschen , Qimiao Si

We present here a rare example of electronuclear quantum criticality in a metal. The compound YbCu4.6Au0.4 is located at an unconventional quantum critical point (QCP). In this material the relevant Kondo and RKKY exchange interactions are…

Strongly Correlated Electrons · Physics 2023-08-30 J. Banda , D. Hafner , J. F. Landaeta , E. Hassinger , K. Mitsumoto , M. Giovannini , J. G. Sereni , C. Geibel , M. Brando

Critical thermodynamics close to a metamagnetic quantum critical endpoint (QCEP) in a metal is discussed within the framework of spin-fluctuation theory. We analyze the effective potential for the Ising order parameter that is renormalized…

Strongly Correlated Electrons · Physics 2015-06-15 Mario Zacharias , Markus Garst

We propose a phenomenological spin fluctuation theory for antiferromagnetic quantum tricritical point (QTCP), where the first-order phase transition changes into the continuous one at zero temperature. Under magnetic fields, ferromagnetic…

Strongly Correlated Electrons · Physics 2010-10-20 Takahiro Misawa , Youhei Yamaji , Masatoshi Imada