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Recently, the steady states of non-unitary free fermion dynamics are found to exhibit novel critical phases with power-law squared correlations and a logarithmic subsystem entanglement. In this work, we theoretically understand the…

Strongly Correlated Electrons · Physics 2021-11-17 Pengfei Zhang , Shao-Kai Jian , Chunxiao Liu , Xiao Chen

We study the equilibrium dynamics of an infinite-range quantum Heisenberg model with random couplings, in which local magnetic moments arise from $\mathcal{N}_f$ flavors of spinful fermions. We employ an expansion in $\mathcal{N}_f$, which…

Strongly Correlated Electrons · Physics 2026-03-13 Hossein Hosseinabadi , Subir Sachdev , Jamir Marino

We show that a single-fermion quantum dot acquires odd-frequency Gor'kov anomalous averages in proximity to strongly correlated Majorana zero modes, described by the Sachdev-Ye-Kitaev (SYK) model. Despite the presence of finite anomalous…

Mesoscale and Nanoscale Physics · Physics 2019-01-15 Nikolay V. Gnezdilov

Ubiquity of unconventional phenomena observed in a series of heavy fermion metals is discussed on the basis of an idea of critical valence fluctuations. After surveying experimental aspects of these unconventional behaviors in prototypical…

Strongly Correlated Electrons · Physics 2017-04-04 K. Miyake , S. Watanabe

The mechanism of strange metal (SM) with unconventional charge transport near magnetic phase transitions has become an outstanding open problem in correlated electron systems. Recently, an exotic quantum critical SM phase was observed in…

Strongly Correlated Electrons · Physics 2023-01-10 Jiangfan Wang , Yung-Yeh Chang , Chung-Hou Chung

Using a functional renormalization group approach we derive the renormalization group (RG) flow of a dissipative variant of the Yukawa-Sachdev-Ye-Kitaev model describing $N$ fermions on a quantum dot which interact via a disorder-induced…

Strongly Correlated Electrons · Physics 2024-04-19 Niklas Cichutek , Andreas Rückriegel , Peter Kopietz

The Sachdev-Ye-Kitaev (SYK) model is a system of $N$ Majorana fermions with random interactions and strongly chaotic dynamics, which at low energy admits a holographically dual description as two-dimensional Jackiw-Teitelboim gravity. Hence…

High Energy Physics - Theory · Physics 2024-10-01 Patrick Orman , Hrant Gharibyan , John Preskill

We investigate the continuous quantum phase transition from an antiferromagnetic metal to a heavy fermion liquid based on the Kondo lattice model in two dimensions. We propose that antiferromagnetic spin fluctuations and conduction…

Strongly Correlated Electrons · Physics 2016-08-31 Ki-Seok Kim

We present an exactly solvable spin-orbital model based on the Gamma-matrix generalization of a Kitaev-type Hamiltonian. In the presence of small magnetic fields, the model exhibits a critical phase with a spectrum characterized by…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 Gia-Wei Chern

We discuss the recent extension of the Sachdev-Ye-Kitaev (SYK) microscopic model by Patel and Sachdev in arXiv:1906.03265, which demonstrates the characteristic features of the Khodel-Shaginyan fermion condensate -- the existence of the…

Strongly Correlated Electrons · Physics 2020-03-17 G. E. Volovik

We study the low frequency spectra of complex Sachdev-Ye-Kitaev (SYK) models at general densities. The analysis applies also to SU($M$) magnets with random exchange at large $M$. The spectral densities are computed by numerical analysis of…

Strongly Correlated Electrons · Physics 2021-03-03 Maria Tikhanovskaya , Haoyu Guo , Subir Sachdev , Grigory Tarnopolsky

We show that a non-Hermitian two coupled Sachdev-Ye-Kitaev (SYK) model can provide thermodynamic structure equivalent to Hermitian two coupled SYK model. The energy spectrum, the entanglement degree of the ground states and the low energy…

High Energy Physics - Theory · Physics 2022-11-21 Wenhe Cai , Sizheng Cao , Xian-Hui Ge , Masataka Matsumoto , Sang-Jin Sin

We establish the appearance of a qualitatively new type of spin liquid with emergent exceptional points when coupling to the environment. We consider an open system of the Kitaev honeycomb model generically coupled to an external…

Strongly Correlated Electrons · Physics 2021-02-18 Kang Yang , Siddhardh C. Morampudi , Emil J. Bergholtz

Complex many-particle quantum entanglement is a central theme in two distinct major topics in physics: the strange metal state found in numerous correlated electron compounds, and the quantum theory of black holes in Einstein gravity. The…

Strongly Correlated Electrons · Physics 2024-01-17 Subir Sachdev

We propose a low energy model for simulating an analog black hole on an optical lattice using ultracold atoms. Assuming the validity of the holographic principle, we employ the Sachdev-Ye-Kitaev (SYK) model, which describes a system of…

General Physics · Physics 2025-08-25 Iftekher S. Chowdhury , Binay Prakash Akhouri , Shah Haque , Martin H. Bacci , Eric Howard

We investigate and classify Fermi surface behavior for a set of fermionic modes in a family of backgrounds holographically dual to N=4 Super-Yang-Mills theory at zero temperature with two distinct chemical potentials. We numerically solve…

High Energy Physics - Theory · Physics 2013-05-30 Oliver DeWolfe , Steven S. Gubser , Christopher Rosen

We construct models of excitations about a Fermi surface that display calculable deviations from Fermi liquid behavior in the low-energy limit. They arise as a consequence of coupling to a Chern-Simons gauge field, whose fluctations are…

Condensed Matter · Physics 2009-10-22 Chetan Nayak , Frank Wilczek

We investigate the low-energy effective theory of a Fermi surface coupled to an Ising-nematic quantum critical point in (2+1) spacetime dimensions with translation symmetry. We formulate the system using the large $N$ Yukawa-SYK model,…

Strongly Correlated Electrons · Physics 2026-03-12 Haoyu Guo

Non-Fermi liquids are strange metals whose physical properties deviate qualitatively from those of conventional metals due to strong quantum fluctuations. In this paper, we report transport measurements on the FeSe$_{1-x}$S$_x$…

A toy model of strongly correlated fermions is studied using Green function and functional integration methods. The model exhibits a metal-insulator transition as the interaction is varied. In the case of unrestricted hopping is established…

Condensed Matter · Physics 2007-05-23 Flavio S. Nogueira , Enrique V. Anda