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Recent proposals for spin-1 Kitaev materials, such as honeycomb Ni oxides with heavy elements of Bi and Sb, have shown that these compounds naturally give rise to antiferromagnetic (AFM) Kitaev couplings. Conceptual interest in such AFM…

Strongly Correlated Electrons · Physics 2020-06-22 Ciarán Hickey , Christoph Berke , Panagiotis Peter Stavropoulos , Hae-Young Kee , Simon Trebst

We study the SYK model with complex fermions, in the presence of an all-to-all $q$-body interaction, with a non-vanishing chemical potential. We find that, in the large $q$ limit, this model can be solved exactly and the corresponding…

High Energy Physics - Theory · Physics 2018-01-17 Ritabrata Bhattacharya , Subhroneel Chakrabarti , Dileep P. Jatkar , Arnab Kundu

We study Fermi-Hubbard models with kinetically constrained dynamics that conserves both total particle number and total center of mass, a situation that arises when interacting fermions are placed in strongly tilted optical lattices.…

Quantum Gases · Physics 2023-08-09 Ethan Lake , T. Senthil

We study an exactly-solvable model which shows a zero-temperature transition from a non-Fermi liquid to a Fermi liquid as a function of particle density. The quantum critical point separating these two states is not associated with the…

Strongly Correlated Electrons · Physics 2016-08-31 P. C. Howell , A. J. Schofield

A simple interlayer pair tunneling is solved exactly. We find that in the normal state spin-1/2 particle and hole excitations are gapped. But the state is an unusual metal, characterized by novel fermionic spin zero and charge +2e and -2e…

Condensed Matter · Physics 2007-05-23 Sanjoy K. Sarker , Philip W. Anderson

We study the five-orbital Hubbard model including the charge quadrupole interaction for iron pnictides. Using the fluctuation-exchange (FLEX) approximation, orbital fluctuations evolve inversely proportional to the temperature, and…

Superconductivity · Physics 2012-04-11 Seiichiro Onari , Hiroshi Kontani

We study a quantum mechanical model proposed by Sachdev, Ye and Kitaev. The model consists of $N$ Majorana fermions with random interactions of a few fermions at a time. It it tractable in the large $N$ limit, where the classical variable…

High Energy Physics - Theory · Physics 2016-11-09 Juan Maldacena , Douglas Stanford

The anomalous transport and thermodynamic properties in the quantum-critical region, in the cuprates, and in the quasi-two dimensional Fe-based superconductors and heavy-fermion compounds, have the same temperature dependences. This can…

Strongly Correlated Electrons · Physics 2016-07-27 Chandra M. Varma

The periodic Anderson model is a classic theoretical model for understanding novel physics in heavy fermion systems. Here, we modify it with the Sachdev-Ye-Kitaev interaction, (random all-to-all interaction) thus the resultant model admits…

Strongly Correlated Electrons · Physics 2018-11-28 Yin Zhong

We present a sign-problem free quantum Monte Carlo study of a model that exhibits quantum phase transitions without symmetry breaking and associated changes in the size of the Fermi surface. The model is an Ising gauge theory on the square…

Strongly Correlated Electrons · Physics 2021-01-28 Snir Gazit , Fakher F. Assaad , Subir Sachdev

The Sachdev-Ye-Kitaev model is a $(0+1)$-dimensional model describing Majorana fermions or complex fermions with random interactions. This model has various interesting properties such as approximate local criticality (power law correlation…

High Energy Physics - Theory · Physics 2017-05-31 Yingfei Gu , Xiao-Liang Qi , Douglas Stanford

We explore the effect of local constraints on one-dimensional bosonic and fermionic ground state phases. Motivated by recent experiments on Rydberg chains, we constrain the occupation of neighboring sites in known phases of matter. Starting…

Strongly Correlated Electrons · Physics 2019-03-25 Ruben Verresen , Ashvin Vishwanath , Frank Pollmann

We consider a chain of spinful fermions with nearest neighbor hopping in the presence of a $XY$ antiferromagnetic interaction. The $XY$ term is mapped onto a Kitaev chain at half-filling such that displays a bosonic zero mode topologically…

Quantum Physics · Physics 2021-05-11 Gianluca Francica

We consider the tight-binding model with cubic symmetry that may be relevant for the description of a certain class of Weyl semimetals. We take into account elastic deformations of the semimetal through the modification of hopping…

Mesoscale and Nanoscale Physics · Physics 2016-02-16 Alberto Cortijo , M. A. Zubkov

Motivated by recent works on atom-cavity realizations of fast scramblers, and on Cooper pairing in non-Fermi liquids, we study a family of solvable variants of the ($q=4$) Sachdev-Ye-Kitaev model in which the rank and eigenvalue…

Strongly Correlated Electrons · Physics 2020-03-25 Jaewon Kim , Xiangyu Cao , Ehud Altman

Nonperturbative formulation of the Sachdev-Ye-Kitaev (SYK) model is discussed. The partition function of the model can be represented as a functional integral over the Grassmann variables in Euclidean time which is well defined but it…

High Energy Physics - Theory · Physics 2018-12-26 Irina Aref'eva , Igor Volovich

Strange metal behavior is traditionally associated with an underlying putative quantum critical point at zero temperature. However, in many correlated metals, e.g., high-Tc cuprate superconductors, strange metallicity persists at low…

Strongly Correlated Electrons · Physics 2024-10-11 Evyatar Tulipman , Noga Bashan , Jörg Schmalian , Erez Berg

Non-equilibrium phase transitions are studied theoretically for the two-dimensional Hubbard model subject to bias voltages from the electrodes coupled to the system. By combining the fluctuation exchange approximation with the Keldysh…

Strongly Correlated Electrons · Physics 2015-05-20 Takashi Oka , Hideo Aoki

Results are presented for the time evolution of fermions initially in a non-zero temperature normal phase, following the switch on of an attractive interaction. The dynamics are studied in the disordered phase close to the critical point,…

Superconductivity · Physics 2017-09-20 Yonah Lemonik , Aditi Mitra

We show that the numerically exact bold-line diagrammatic theory for the $2d$ Hubbard model exhibits a non-Fermi-liquid (NFL) strange metal state, which is connected to the SYK NFL in the strong-interaction limit. The solution for the doped…

Strongly Correlated Electrons · Physics 2020-12-14 Aaram J. Kim , Philipp Werner , Evgeny Kozik